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Homeothermy is exhibited by:
1. All amniotes
2. Birds and Mammals
3. All deuterostomes
4. Reptiles and Mammals

Identify the incorrectly matched pair:

Which one of the following characteristics is not shared by birds and mammals?
(1) Breathing using lungs
(2) Viviparity
(3) Warm blooded nature
(4) Ossified endoskeleton

In which one of the following, the genus name, its two characters and its phylum are not correctly matched, whereas the remining three are correct?

Which one of the following animals is correctly matched with its particular named taxonomic category?

What is common between parrot, platypus and kangaroo?
1. Homeothermy
2. Toothless jaws
3. Functional post-anal tail
4. Oviparity

A jawless fish, which lays eggs in fresh water and whose ammocoetes larvae after metamorphosis return to the ocean is
(1) Eptatretus
(2) Myxine
(3) Neomyxine
(4) Petromyzon

Red List contains data or information on
(1) all economically important plants
(2) plants whose products are in international trade
(3) threatened species
(4) marine vertebrates only

Which of the following represent maximum number of species among global biodiversity ?
1. Algae
2. Lichens
3. Fungi
4. Mosses and ferns

Chitin is a polysaccharide found in the exoskeleton of
(1) prawn
(2) insects
(3) crabs
(4) all of these

Which of the following is not an annelid?
1. Leech
2. Earhtworm
3. Sea mouse
4. Sea cucumber

In India, we find mangoes with different flavours, colours, fibre content, sugar content and even shelf-life. The large variation is on account of  
(1)  species diversity    
(2)  induced mutations    
(3)  genetic diversity    
(4)  hybridisation.

Which of the following is not an invasive species?
(1) Parthenium hysterophorus
(2) Nelumbo (lotus)
(3) Lantana camara
(4) Eichhornia crassipes

Refer the following figure represent global biodiversity. Identify A-E and choose the correct option.

Select the correct statement about biodiversity.
 

IUCN stands for
(1) Indian Union for Conservation of Nature
(2) International Union for Conservation of Nature
(3) Indian Union for Chemical Nomenclature
(4) International Union for Conservation of Nutrients
 

Both polyp and medusa life forms are present in the life cycle of
(1) Obelia
(2) Physalia
(3) Aurelia
(4) Adamsia

Presence of flame cells is a characteristic feature of
(1) Nereis
(2) Taenia
(3) Hirudinaria
(4) Pheretima

Chitinous exoskeleton is present in
(1) Mollusca
(2) Echinodermata
(3) Arthropoda
(4) Porifera

Which of the following is not an avian character?

The presence of notochord in the larval tail is a characteristic of
(1) Doliolum
(2) Branchiostoma
(3) Balanoglossus
(4) Petromyzon

Dry, cornified skin along with epidermal scales or scutes is found in
(1) Tortoise
(2) Hyla
(3) Bufo
(4) All of the above

The common name of Calotes versicolor is
1. Garden lizard
2. Tree lizard
3. Wall lizard
4. Monitor lizard

The term "The Evil Quartet" is related with:
(1) Four major causes of forest loss   
(2) Four major causes of population explosion
(3) Four major causes of air pollution 
(4) Four major causes of biodiversity losses

Which one the following is false about Habitat loss and fragmentation?
(1) This is the most important cause driving animals and plants to extinction
(2) The most dramatic examples of habitat loss come from temperate rainforests
(3) Once covering more than 14% of the earth's land surface, rain forests now cover no more than 6 percent.
(4) The Amazon rainforest harbouring probably millions of species is being cut and cleared for cultivating soya beans or for conversion to grassland for raising beef cattle

Genetic Diversity is not
1.India has more than 50000 genetically different strains of rice
2.India has 10000 varieties of mango
3.A single species might show high diversity at the genetic level over it's distributional range
4.Genetically diverse plant Rawolfia vomitoria is found in Himalayan ranges

Which of the following is wrong with respect to Rawolfia vomitoria?

India is among 12 mega diverse countries of the world because

According to May's estimate, how many animal species are yet to be discovered in India?

Which of the following is wrong about diversity of birds?

……a… have remained relatively undisturbed for millions of years and thus had a long evolutionary time for……b..The constant environments promote…c..and had a greater species diversity.
Which of the following is correct?

Alexander Von Humboldt:
Find the wrong one out.

If Z value is found to be 1.15, which of the following species richness was actually studied?

Who among the following gave tentative answers to the question that how do the attributes of a stable community are linked to species richness in a community?

Paul Ehrlich
Which of the following is wrong about him?

According to Rivet Popper Hypothesis, which of the following is not correct?

Which of the following loss of rivet will be more crucial for the flight safety?

Which of the following is not correct according to analogy given by Paul Ehrlich?

Which of the following is not correct regarding the extinction of species?

Which of the following is not correct regarding vulnerability data of different groups?

Which of the following is not correct about Fragmentation?

Which of the following is not an example of Co-extinctions?

How much Oxygen does Amazon Forest is estimated to produce through photosynthesis?

More than…a…. of the drugs currently sold in the market worldwide are derived from plants and …b…...species of plants contribute to the traditional medicines used by native people around the world.

Which of the following is not the problem regarding in situ approach that has been addressed by eminent conservationists?

Endemism is

Biodiversity Hotspots:
Which of the following is not true?

Which of the following is not a mean where ecologically unique and biodiversity rich regions are legally protected in India?
1. Biosphere Reserve
2. National Parks
3. Wildlife Sanctuaries
4. Wildlife Safari Parks

Which of the following is not correct about sacred Groves?

Which of the following rainforest is home to more than 40,000 species of plants, 3000 of fishes, 1300 of birds, 427 of mammals, 427 of amphibians, 378 of reptiles and more than 1,25,000 invertebrates?

Consider the following statements:
I. India’s share of the global species diversity is 8.1% approximately.
II. Two ecological hot spots of the world cover our bio-diversity regions.
III. The Amazon rainforest has the greatest biodiversity on Earth.
Which of the above statements are true?
1. I and II only             2. I and III only
3. II and III only          4. I, II, and III

Which of the following is true about sponges except
1.Sponges are hermaphrodite
2.Fertilisation is internal
3.Development is direct
4.Primitive multicellular animals

Which of the following is true about the given organism?
         
1.It is a medusa form of Aurelia
2.It is Fresh water sponge
3.Central canal system is present in it
4.It’s mouth is formed first

Stinging capsule present in Cnidarians is called
1.Nematocysts
2.Choanocytes
3.Cnidocytes
4.Both 2 and 3

The distinctive feature of Cnidarians is
1.Cnidoblast
2.Polyp and Medusa form
3.Gastro-vascular cavity
4.Hypostome

The umbrella shaped and free-swimming form of Cindarians is not present in
1.Aurelia
2.Jellyfish
3.Adamsia
4.Both 1 and 2

Alternation of generation is present in
1.Sea-pen
2.Sea-fan
3.Obelia
4.Sea anemone

Which of the following is common in Cnidarians and Ctenophora
1.Digestion is both intracellular and extracellular
2.Cnidoblast
3.Only sexual means of reproduction present
4.Metagenesis

Which of the following is known liverfluke
1.Taeniasaginata
2.Taeniasolium
3.Fasciola hepatica
4.Schistoma

Round worm is
1.Pseudo-coelomate
2.True Coelomate
3.Acoelomate
4.having incomplete Alimentary canal

Which of the following is not true for roundworms but true for flatworms
1.Bilateral symmetry
2.Triploblastic body plan
3.Monoecious
4.Internal Fertilastion

If there are 900 animals are present on Earth, then how many of them are supposed to be Arthropods
1.300
2.600
3.450
4.700

Which of the following is true for Arthropods
1.Bilateral symmetry
2.Triploblastic
3.Segmented animals
4.All of these

Which of the following is true for the given diagram?
               
1.Insecta
2.Crustacea
3.Octapoda
4.Both 1 and 2

Which of the following is a gregarious pest?
1.Limulus
2.Locust
3.Laccifer
4.Palaemon

Which of the following is true about Apple snail.
1. It belongs to class Gastropoda
2. Body is covered by Calcareous shell
3. Torsion present
4. All of these

Which is Correct for Devil fish?
 

Which of the following is true about Mollusca?

Which of the following is true about Radula?
1. Rasping organ
2. Tongue like structure
3. Used in feeding
4. All of these

How many of the following is not the member of Mollusca?
Sea hare, Sea cucumber, Sea lily, Sea urchin, Sea-pen, Sea fan, Sea anemone
1. 7
2. 6
3. 1
4. 4

Which of the following is true for Echinodermata?
1. Bilateral Symmetry- Larvae
2. Radial symmetry- larvae
3. Bilateral Symmetry- Adult
4. Asymmetric

How many of the following statement is true for Water Vascular System?

1. 6
2. 5
3. 4
4. 3

Which of the following is true about Digestive system of Echinoderms?
1. Mouth is Ventral
2. Anus is Dorsal
3. Digestive System is complete
4. All of the above

Which is not true for Echinoderms?
1. Mouth is Dorsal
2. Anus is Ventral
3. Calcerous exoskeleton
4. All of these
 

Which of the following is not a member of Echinodermata?
1. Antedon
2. Asterias
3. Aplysia
4. Ophiura

Which is incorrect for Hemichordata?
1. Cylindrical body
2. Proboscis, Collar and Trunk present
3. Bilaterally symmetrical
4. Head, Collar and Trunk present

Find out the correct match

A marine cartilaginous fish that can produce
electric current is :-
1. Pristis
2. Torpedo
3. Trygon
4. Scoliodon

Body having meshwork of cells, internal
cavities lined with food filtering flagellated cells
and indirect development is the
characteristics of phylum :
1. Protozoa
2. Coelenterata
3. Porifera
4. Mollusca

What do you mean by bioprospecting?
1. Biological analysis of living things to classify them?
2. Exploring molecular, genetic and species level diversity for product of economic importance.
3. Exploring forests to identify diversity present there.
4. It is branch of biology which deals with prospect of conservation.

Term ‘biodiversity’ was popularized by
1. Robert May 
2. Edward wilson
3. Paul Ehrlich 
4. C. Mobius

Planaria possess high capacity of
1. metamorphosis
2. regeneration
3. alternation of generation
4. bioluminescence

Which of the following structure is associated with
locomotion ?

1. (i), (ii), (iii), (iv) 
2. (i) only
3. (i), (ii) only
4. (i), (iii) only

The animals belonging to all the following groups are exclusively marine except: 
1. Ctenophora
2. Porifera
3. Protochordata
4. Echinodermata

Which of the following set of animals belong the phylum hemichordate?
1. Balanoglossus, Saccoglossus
2. Salpa, Doliolum
3. Petromyzon, Myxine
4. Dentalium, Chaetopleura

Select the group of animals belonging to different
phyla?
1. Hirudinaria, Limulus, Laccifer.
2. Nereis, Dentalium, Aplysia.
3. Pheretima, Chaetopleura, Ophiura.
4. Cucumaria, Anteadon, Loligo.

Similarity between protochordata and hemichordata is
1. Presence of notochord.
2. Exclusively marine.
3. Dorsal hollow and single central nervous system.
4. Exclusively parasitic.

Vertebrates and seastars may seen as different as two animal groups can be, yet they share
 

Read the following statements :

How many of the above statements are correct for given
figure :
1. Four.
2. Three.
3. Two.
4. One

What is true about Nereis, scorpion, cockroach and silver fish ? 
1. They all possess dorsal heart
2. None of them is aquatic
3. They all belong to the same phylum
4. They all have jointed paired appendages

Which does not show the Tyndall effect?
1. Emulsion
2. Blood
3. Milk
4. Sugar solution

Butter is a colloid form in which:
1. fat is dispersed in solid casein
2. fat globules are dispersed in water
3. water is dispersed in fat
4. suspension of casein is in water

Foam is a colloidal solution of:
1. Gaseous particles dispersed in gas               
2. Gaseous particles dispersed in a liquid           
3. Solid particles dispersed in a liquid
4. Solid particles dispersed in gas

Which of the following does not form anionic micelle?
1. C₁₂H₂₅COONa                   
2. C₁₂H₂₅SO₄Na
3. C₁₂H₂₅SO₃Na                     
4. C₁₂H₂₅(NH₃)₃Cl

When a catalyst is added to a system the:
1. equilibrium concentrations are increased
2. equilibrium concentrations are unchanged
3. the rate of forward reaction is increased and that of backward reaction is decreases
4. value of the equilibrium constant is decreased

Clouds, mist, fog and aerosols are colloidal solution of:
1. solid in a gas
2. gas in a solid
3. liquid in a gas
4. gas in a liquid

Silver iodide is used for producing artificial rain because AgI is:
1. Easy to spray at high altitudes.
2. Easy to synthesize.
3. Having crystal structure similar to ice.
4. Insoluble in water.

Which is an emulsion?
1. Boot polish                             
2. Lipstick
3. Shampoo                               
4. All of these

The gas that is adsorbed strongly by charcoal is: 
1. CO₂                               
2. N₂
3. H₂                                 
4. NH₃

Which ion is adsorbed when a diluted aqueous solution of AgNO₃ (excess) is added to KI solution, resulting in formation of positively charged sol particles of AgI?
1. K⁺
2. Ag⁺
3. I^-
4. NO₃^-

The charge on As₂S₃ sol is caused by the adsorption of:
1. H⁺                             
2. OH^-
3. ${\mathrm{O}}_2^{-}$                             
4. S^2-

The Brownian motion is due to:
(1)temperature fluctuations within the liquid phase
(2)attraction and repulsion between charges on the colloidal particles
(3)impact of the molecules of the dispersion medium on the colloidal particles
(4)convective currents

Peptization is the process of?
1. Precipitating colloidal particles.
2. Purifying colloidal particles.
3. Dispersing the precipitate into a colloidal state.
4. None of the above.

Platinized asbestos used as a catalyst in the manufacture of H₂SO₄ is an example of:
1. heterogeneous catalyst                   
2. auto-catalyst
3. homo-catalyst                                 
4. induced catalyst

In a reversible reaction, a catalyst:
1. increases the rate of the forward reaction only
2. increases the rate of the forward reaction to a greater extent than that of  the backward reaction
3. increases the rate of the forward reaction and decreases that of the backward reaction to the different extent
4. increases the rate of the forward and backward reactions equally

The Critical Micelle Concentration (CMC) is:
1. The concentration at which micellization starts
2. The concentration at which true solution is formed
3. The concentration at which one molar electrolyte is present per 1000 g of solution
4. The concentration at which solute and solution from equilibrium

Tails of comets are visible due to:
1. Tyndall effect
2. Reflection
3. Brownian motion
4. None of the above

Bleeding is stoped by the application of ferric chloride. This is because :
1. the blood starts flowing in the opposite direction
2. the blood reacts and a solid is formed which seals the blood vessel
3. the blood is coagulated and the blood vessel are sealed
4. the ferric chloride seals the blood vessel

Chemisorption is:
1. multimolecular in nature
2. reversible
3. often highly specific and directional
4. not very specific

Medicines are more effective if they are used in:
1. Colloidal state
2. Solid-state
3. Solution state
4. None of the above 

Hydrolysis of maltose (C₁₂H₂₂O₁₁) by maltase gives:
1. glucose                         
2. fructose
3. both 1 and 2         
4. none of these

Detergent action of synthetic detergents is due to their:
1. interfacial area
2. high molar mass
3. ionization
4. emulsifying properties

Which of the following electrolytes, Na₂SO₄, CaCl₂, Al₂(SO₄)₃, and NH₄Cl, is the most effective coagulating agent for Sb₂S₃ sol?
1. Na₂SO₄                             
2. CaCl₂
3. Al₂(SO₄)₃                           
4. NH₄Cl

The arsenious sulphide sol has negative charge. The maximum coagulationg power for precipitating it is of :
1. 0.1 N Zn(NO₃)₂
2. 0.1 N Na₃PO₄
3. 0.1 N ZnSO₂
4. 0.1 N AlCl₃

An emulsifier is a substance that:
1. Homogenesis the emulsion
2. Stabilizes the emulsion
3. Retards the dispersion of liquid in the liquid
4. Coagulates the emulsion

Adsorption is accompanied by:
1. decrease in entropy of the system
2. decrease in enthalpy of the system
3. T$∆$S for the process is negative
4. all of the above

A liquid which makes scatters a beam of light (visible in a dark room) but leaves no residue when passed through a filter paper is best described as:
1. A suspension
2. Sol
3. True solution
4. None of the above

The capacity of an ion to coagulate a colloidal solution depends on:
1. its shape
2. amount of its charge
3. the sign of charge
4. both amount and sign of the charge

The blue colour of the water of the sea is due to :
1. refraction of the blue light by the imputities in sea water
2. reflection of blue light by sea water
3. scattering of blue light by sol particles
4. absorption of other colours except the blue colour by water molecules

Lyophobic colloids are:
1. Reversible colloids
2. Irreversible colloids
3. Protective colloids
4. Gum, and proteins

Which statement about enzymes is not correct?
1. Enzymes are in colloidal state
2. Enzymes are catalysts
3. Enzymes can catalyse any reaction
4. Urease is an enzyme

Which of the following is not applicable to chemisorption?
1. Its heat of adsorption is high
2. It takes place at high temperature
3. It is reversible
4. It forms unimolecular layer

Adsorption of log(x/m) and log P was found of the following type. This is true when:-

1. n = $\infty$
2. 1/n = 1
3. P = 0
4. 1/n = $\infty$

Which one has the highest coagulation power?
1. K⁺
2. Ca⁺⁺
3. Al⁺⁺⁺
4. Sn⁴⁺

The most suitable electrolyte for the coagulation of arsenic sulphide will be:-
1. AlCl₃
2. BaCl₂
3. NaCl
4. KCl

Colloidal solution of gold prepared by different methods of different colours because of:
1. different diameters of colloidal gold particles
2. variable valency of gold
3. different concentration of gold particles
4. impurities produced by different methods

The coagulation values in millimoles per liter of the electrolytes used for the coagulation of As₂S₃ are given below
I. (NaCl) =52               II. (BaCl₂) =0.69
III. (MgSO₄) = 0.22
The correct order of their coagulating power is
(1) I>II>III                 
(2) II>I>III
(3) III>II>I                 
(4) III>I>II

Which one of the following characteristics is associated with adsorption?
(1) $∆$G, $∆$H and $∆$S all are negative
(2) $∆$G and $∆$H are negative but $∆$S is positive
(3) $∆$G and $∆$S are negative but $∆$H is positive
(4) $∆$G is negative but $∆$H and $∆$S are positive

Fog is a colloidal solution of:-
1. Gas in liquid
2. Solid in gas
3. Gas in gas
4. Liquid in gas

Which property of colloidal solution is independent of charge on the colloidal particles?
1. Coagulation           
2. Electrophoresis
3. Electroosmosis       
4. Tyndall effect

A plot of log x/m verses log p for the adsorption of a gas on a solid gives a straight line with slope equal to:-
(1) -log k
(2) n
(3) 1/n
(4) log k

The Brownian movement of colloidal particles is because of –
1. Convection currents in the fluid
2. Unequal bombardments by the molecules of the dispersion medium on colloidal particles
3. Setting of dispersed phase under gravity
4. Thermal gradient in the medium

When ${\mathrm{FeCl}}_3$ solution is added to $\mathrm{NaOH}$ a negatively charged sol is obtained. It is due to the
(1) Presence of basic group
(2) Preferential adsorption of ${\mathrm{OH}}^{–}$ ions
(3) Self dissociation
(4) Electron capture by sol particles 

The stabilization of the dispersed phase in a lyophobic sol is due to
(1) The viscosity of the medium
(2) The surface tension of the medium
(3) Liking for the medium
(4) The formation of an electrical layer between the two phases

$1$ $\mathrm{mol}$ of $\left[\mathrm{AgI}\right]{\mathrm{I}}^{-}$ can be coagulated by - 
1. 1 mol of Pb(NO₃)₂                          
2. \(\frac{1}{2}\) mol of Pb(NO₃)₂
3. \(\frac{2}{3}\) mol of Pb(NO₃)₂                           
4. None of the above.

A body thrown vertically so as to reach its maximum height in t second. The total time from the time of projection to reach a point at half of its maximum height while returning (in second) is:
1. $\sqrt{2}t$
2. $\left(1+\frac{1}{\sqrt{2}}\right)t$
3. $\frac{3t}{2}$
4. $\frac{t}{\sqrt{2}}$

A particle has initial velocity $\left(3\hat{\mathrm{i}}+4\hat{\mathrm{j}}\right)$ and has acceleration $\left(0.4\hat{\mathrm{i}}+0.3\hat{\mathrm{j}}\right)$. Its speed after 10 s:
1. 7 units
2. $7\sqrt{2}$ units
3. 8.5 units
4. 10 units

The gravity in space is given by $\overrightarrow{\mathrm{g}}=-10 \hat{j} m{s}^{-2}$. Two particles are simultaneously projected with velocity $\overrightarrow{{\mathrm{u}}_1}=\left(10 m{s}^{-1}\right)\hat{i}+\left(10 m{s}^{-1}\right)\hat{j}$ and $\overrightarrow{{\mathrm{u}}_2}=\left(20 m{s}^{-1}\right)\hat{i}+\left(10 m{s}^{-1}\right)\hat{j}$. Then, the ratio of their times of flight
1. 1:1
2. 1:2
3. 2:1
4. none

A boat is sent across a river in perpendicular direction with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is : 
1. 10 km/hr
2. 8 km/hr
3. 6 km/hr
4. 4 km/hr

If the body is moving in a circle of radius r with a constant speed v, its angular velocity is:
1. v²/r
2. vr
3. v/r
4. r/v

If a particle moves in a circle describing equal angles in equal times, its velocity vector:
1. remains constant.
2. changes in magnitude.
3. changes in direction.
4. changes both in magnitude and direction.

A particle is moving in a horizontal circle with constant speed. It has constant 
1. Velocity
2. Acceleration
3. Kinetic energy
4. Displacement

The angular speed of a flywheel making 120 revolutions/minute is: 
1. $2\pi rad/s$
2. $4{\pi }^{2}rad/s$
3. $\pi rad/s$
4. $4\pi rad/s$

Certain neutron stars are believed to be rotating at about 1 rev/sec. If such a star has a radius of 20 km, the acceleration of an object on the equator of the star will be 
1. $20\times {10}^{8}m/{\sec }^2$
2. $8\times {10}^{5}m/{\sec }^2$
3. $120\times {10}^{5}m/{\sec }^2$
4. $4\times {10}^{8}m/{\sec }^2$

An object is thrown along a direction inclined at an angle of 45° with the horizontal direction. The horizontal range of the particle is equal to 
(1) Vertical height
(2) Twice the vertical height
(3) Thrice the vertical height
(4) Four times the vertical height

Galileo writes that for angles of projection of a projectile at angles $(45+\theta )$ and $(45-\theta )$, the horizontal ranges described by the projectile are in the ratio of (if $\theta \le 45$) 
1. 2 : 1
2. 1 : 2
3. 1 : 1
4. 2 : 3

A projectile thrown with a speed v at an angle θ has a range R on the surface of earth. For same v and θ, its range on the surface of moon will be (acceleration due to gravity on moon=$\frac{g}{6}$):
(1) R/6
(2) 6 R
(3) R/36
(4) 36 R

At the top of the trajectory of a projectile, the magnitude of the acceleration is
(1) Maximum
(2) Minimum
(3) Zero
(4) g

If the range of a gun that fires a shell with muzzle speed v is R, then the angle of elevation of the gun is 
(1) ${\cos }^{-1}\left(\frac{{\displaystyle v^2}}{{\displaystyle Rg}}\right)$
(2) ${\cos }^{-1}\left(\frac{{\displaystyle gR}}{{\displaystyle v^2}}\right)$
(3) $\frac{1}{2}\left(\frac{{\displaystyle v^2}}{{\displaystyle Rg}}\right)$
(4) $\frac{1}{2}{\sin }^{-1}\left(\frac{{\displaystyle gR}}{{\displaystyle v^2}}\right)$

If a body A of mass M is thrown with a velocity v at an angle of 30° to the horizontal and another body B of the same mass is thrown with the same speed at an angle of 60° to the horizontal. The ratio of horizontal range of A to B will be 
(1) 1 : 3
(2) 1 : 1
(3) $1:\sqrt{3}$
(4) $\sqrt{3}:1$

Which of the following sets of factors will affect the horizontal distance covered by an athlete in a long–jump event?
1. speed before he jumps and his weight
2. the direction in which he leaps and the initial speed
3. the force with which he pushes the ground and his speed
4. none of the above

In a projectile motion, velocity at maximum height is 
(1) $\frac{u\cos \theta }{2}$
(2) $u\cos \theta$
(3) $\frac{u\sin \theta }{2}$
(4) None of these

The equation of motion of a projectile is given by x = 36 t metre and 2y = 96 t – 9.8 t² metre. The angle of projection is:
1. ${\sin }^{-1}\left(\frac{{\displaystyle 4}}{{\displaystyle 5}}\right)$
2. ${\sin }^{-1}\left(\frac{{\displaystyle 3}}{{\displaystyle 5}}\right)$
3. ${\sin }^{-1}\left(\frac{{\displaystyle 4}}{{\displaystyle 3}}\right)$
4. ${\sin }^{-1}\left(\frac{{\displaystyle 3}}{{\displaystyle 4}}\right)$

A cricketer can throw a ball to a maximum horizontal distance of \(100~\text{m}\). With the same effort, he throws the ball vertically upwards. The maximum height attained by the ball is: 
1. \(100~\text{m}\)
2. \(80~\text{m}\)
3. \(60~\text{m}\)
4. \(50~\text{m}\)

A ball is projected with velocity v₀ at an angle of elevation 30°. Mark the correct statement.
(1) Kinetic energy will be zero at the highest point of the trajectory.
(2) Vertical component of momentum will be conserved.
(3) Horizontal component of momentum will be conserved.
(4) Gravitational potential energy will be minimum at the highest point of the trajectory.

Neglecting the air resistance, the time of flight of a projectile is determined by:
(1) U_vertical
(2) U_horizontal
(3) U = U²_vertical + U²_horizontal
(4) U = U(U²_vertical + U²_horizontal )^1/2

The horizontal range of a projectile is \(4 \sqrt{3}\) times its maximum height. Its angle of projection will be:
1. \(45^{\circ}\)
2. \(60^{\circ}\)
3. \(90^{\circ}\)
4. \(30^{\circ}\)

The maximum horizontal range of a projectile is \(400~\text{m}\). The maximum value of height(ever possible) attained by it will be: 
1. \(100~\text{m}\)
2. \(200~\text{m}\)
3. \(400~\text{m}\)
4. \(800~\text{m}\)

A particle is moving eastwards with velocity of 5 m/s. In 10 seconds the velocity changes to 5 m/s northwards. The average acceleration in this time is- 
1. Zero
2. $\frac{1}{\sqrt{2}}m\text{/}{s}^{\text{2}}$ toward north-west
3. $\frac{1}{\sqrt{2}}m\text{/}{s}^{\text{2}}$ toward north-east
4. $\frac{1}{2}m\text{/}{s}^{\text{2}}$ toward north-west

Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first

(1) 1, 2, 3, 4
(2) 2, 3, 4, 1
(3) 3, 4, 1, 2
(4) 4, 3, 2, 1

Two cars are moving in the same direction with the same speed \(30\) km/hr. They are separated by a distance of \(5\) km. The speed of a car moving in the opposite direction, if it meets these two cars at an interval of \(4\) minutes, will be:
1. \(40\) km/hr
2. \(45\) km/hr
3. \(30\) km/hr
4. \(15\) km/hr

A man standing on a road holds his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/hr. He finds that raindrops are hitting his head vertically, the speed of raindrops with respect to the road will be:
1. 10 km/hr
2. 20 km/hr
3. 30 km/hr
4. 40 km/hr

In the above problem, the speed of rain drops with respect to the moving man, will be
1. $10/\sqrt{2}km/h$
2. 5 km/h
3. $10\sqrt{3}km/h$
4. $5/\sqrt{3}km/h$

A river is flowing from east to west at a speed of \(5\) m/min. A man on south bank of river, capable of swimming \(10\) m/min in still water, wants to swim across the river in shortest time. He should swim:

A thief is running away on a straight road in a jeep moving with a speed of 9 m/s. A police man chases him on a motor cycle moving at a speed of 10 m/s. If the instantaneous separation of jeep from the motor cycle is 100 m, how long will it take for the policemen to catch the thief
1. 1 second
2. 19 second
3. 90 second
4. 100 second

A 120 m long train is moving towards west with a speed of 10 m/s. A bird flying towards east with a speed of 5 m/s crosses the train. The time taken by the bird to cross the train will be 
1. 16 sec
2. 12 sec
3. 10 sec
4. 8 sec

A vector \(\vec{a}\) is turned without a change in its length through a small angle \(d\theta\). The values of \(\left | \Delta \vec{a} \right |\) and \(\Delta a\) are respectively:
1. $\mathrm{}$\(0,\)  \(ad\theta\)
2. \(ad\theta,\) \(0\)
3. \(0,\) \(0\)
4. none of these

A bus is moving with a velocity 10 m/s on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what velocity should the scooterist chase the bus
1. 50 m/s
2. 40 m/s
3. 30 m/s
4. 20 m/s

Two particles having position vectors \(\overrightarrow{r_{1}} = \left( 3 \hat{i} + 5 \hat{j}\right)\) metres and \(\overrightarrow{r_{2}} = \left(- 5 \hat{i} - 3 \hat{j} \right)\) metres are moving with velocities \(\overrightarrow{v}_{1} = \left( 4 \hat{i} + 3 \hat{j}\right)\)\(\text{m/s}\) and \(\overrightarrow{v}_{2} = \left(\alpha\hat{i} + 7 \hat{j} \right)\)\(\text{m/s}\). If they collide after \(2\) seconds, the value of \(\alpha\) is:

The \(x\) and \(y\) coordinates of the particle at any time are \(x = 5t-2t^2\) and \(y=10t\) respectively, where \(x\) and \(y\) are in metres and \(t\) is in seconds. The acceleration of the particle at \(t=2\) s is:
1. \(0\) m/s²
2. \(5\) m/s²
3. \(-4\) m/s²
4. \(-8\) m/s²

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time $t_1$. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time $t_2$. The time taken by her to walk up on the moving escalator will be 
1. $\frac{t_1-t_2}{2}$
2. $\frac{t_1{t}_2}{t_2-t_1}$
3. $\frac{t_1{t}_2}{t_2+t_1}$
4. $t_1-t_2$

A particle moves so that its position vector is given by \(r=\cos \omega t \hat{x}+\sin \omega t \hat{y}\) where \(\omega\) is a constant. Based on the information given, which of the following is true?

If vectors A = cosωt $\hat{i}$ + sinωt $\hat{j}$ and B = (cosωt/2) $\hat{i}$ + (sinωt/2) $\hat{j}$ are functions of time, then the value of t at which they are orthogonal to each other
1. t=$\mathrm{\pi }$/4ω
2. t=$\mathrm{\pi }$/2ω
3. t=$\mathrm{\pi }$/ω
4. t=0 
 

The position vector of a particle as a function of time is given by r = 4sin(2$\pi$t)$\hat{i}$+ 4cos(2$\pi$t)$\hat{j}$ where r is in metre, t is in seconds, $\hat{i}$ and $\hat{j}$ denote unit vectors along x and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?
1. Acceleration is along $-\overrightarrow{R}$
2.  Magnitude of the acceleration vector is v²/R where v is the velocity of the particle
3.  Magnitude of the velocity of the particle is 8 m/s
4.  Path of the particle is a circle of radius 4 m

A projectile is fired from the surface of the earth with a velocity of 5 m/s and angle $\mathrm{\theta }$ with the horizontal. Another projectile fired from another planet with a velocity of 3 m/s at the same angle follows a trajectory, which is identical to the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet (in m/s²) is: [Given, g = 9.8 m/s²]
1. 3.5
2. 5.9
3. 16.3
4. 110.8
 

A particle is moving such that its position coordinates (x, y) are (2m, 3m) at time t = 0, (6m, 7m) at time t = 2s and (13m, 14m) at time t = 5s. Average velocity vector (v_av) from t = 0 to t = 5s is
1. $\frac{1}{5}$(13$\hat{i}$+14$\hat{j}$)
2. $\frac{7}{3}$($\hat{i}$+$\hat{j}$)
3. 2($\hat{i}$+$\hat{j}$)
4. $\frac{11}{5}$($\hat{i}$+$\hat{j}$)

A particle has an initial velocity (\(2\hat{i}+3\hat{j}\)) and an acceleration (\(0.3\hat{i}+0.2\hat{j}\)). The magnitude of velocity after \(10\) s will be:
1. \(9 \sqrt{2} ~\text{units} \)
2. \(5 \sqrt{2} ~\text{units} \)
3. \(5 ~\text{units} \)
4. \(9~\text{units} \)

A missile is fired for maximum range with an initial velocity of 20 m/s. If g=10 $\mathrm{m}/{\mathrm{s}}^2$, the range of the missile is:
1. 50 m                                                          2. 60 m
3. 20 m                                                          4. 40 m

A particle moves in the x-y plane according to rule $\mathrm{x}=\mathrm{asin\omega t}$ and $\mathrm{y}=\mathrm{acos\omega t}$. The particle follows:

A particle starts moving on a circular path from rest, such that its tangential acceleration varies with time as \(a_t=kt\). Distance traveled by particle on the circular path in time \(t\) is:
1. \( \frac{kt^3}{3} \)
2. \(\frac{kt^2}{6} \)
3. \(\frac{kt^3}{6} \)
4. \(\frac{k t^2}{2}\)