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Physics
Work, Energy and Power
JEE-Mains MCQs
Power (7 Qs)

1(current)

Q. No.

A particle moves unidirectionally on a horizontal plane, under a constant power-supplying energy source. The displacement-time \((s\text-t)\) graph that describes the motion of the particle is:
(graphs are drawn schematically and are not to scale)

1.		2.
3.		4.

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A body of mass \(2\) kg is driven by an engine delivering constant power \(1~\text{J/s}\). The body starts from rest and moves in a straight line. After \(9\) s, the kinetic energy of the body is:
1. \(4.5~\text{J}\)
2. \(9~\text{J}\)
3. \(13.5~\text{J}\)
4. \(18~\text{J}\)

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A particle of mass \(m\) is moving in a circular path of constant radius \(r\) such that its centripetal acceleration (\(a\)) is varying with time \(t\) as \(a=k^2rt^2\) where \(k\) is a constant. The power delivered to the particle by the force acting on it is given as:
1. zero
2. \(\mathrm {m k^2} \mathrm {r^2} \mathrm t^2 \)
3. \(\mathrm{mk}^2 \mathrm{r}^2 \mathrm{t} \)
4. \(\mathrm{mk}^2 \mathrm{rt}\)

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Sand is being dropped from a stationary dropper at a rate of \(0.5\) kgs^–1 on a conveyor belt moving with a velocity of \(5\) ms^–1. The power needed to keep the belt moving with the same velocity will be:
1. \(1.25\) W
2. \(2.5\) W
3. \(6.25\) W
4. \(12.5\) W

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A particle of mass \(m\) is moving under a force whose delivered power \(P\) is constant. The initial velocity of the particle is zero. The position of a particle at \(t=4\) s is:

1.	\(\dfrac{16}{3}\sqrt{\dfrac{2P}{m}}\)	2.	\(\dfrac{4}{3}\sqrt{\dfrac{2P}{m}}\)
3.	\(\dfrac{2}{3}\sqrt{\dfrac{P}{m}}\)	4.	\(\dfrac{3}{10}\sqrt{\dfrac{P}{m}}\)

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A lift with a mass of \(1400\) kg moves upwards at a constant velocity of \(3\) m/s, and experiences a frictional force of \(2000\) N. What is the power of the motor driving the lift? (take \(g=10\) m/s²)
1. \(48\) kW
2. \(24\) kW
3. \(32\) kW
4. \(42\) kW

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How much power is delivered by a force, \(F\) at \(t=10~\text{s}\) (see figure), assuming the body starts from rest? (take \(g=10\) m/s²)

1. \(50\) W
2. \(30\) W
3. \(20\) W
4. \(10\) W

Q7:

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Botany Questions

Living World
Biological Classification
Plant Kingdom
Morphology of Flowering Plants
Anatomy of Flowering Plants
Cell-unit of Life
Cell Cycle and Cell Division
Transport in Plants
Mineral Nutrition
Photosynthesis in Higher Plants
Respiration in Plants
Plant Growth and Development
Reproduction in Organisms
Sexual Reproduction in Flowering Plants
Principles of Inheritance and Variation
Molecular Basis of Inheritance
Strategies for Enhancement in Food Production
Microbes in Human Welfare
Organisms and Populations
Ecosystem
Biodiversity and Conservation
Environmental Issues

Chemistry Questions

Some Basic Concepts of Chemistry
Structure of Atom
Classification of Elements and Periodicity in Properties
Chemical Bonding and Molecular Structure
States of Matter
Thermodynamics
Equilibrium
Redox Reactions
Hydrogen
The s-Block Elements
The p-Block Elements-XI
Organic Chemistry - Some Basic Principles and Techniques
Hydrocarbons
Environmental Chemistry
The Solid State
Solutions
Electrochemistry
Chemical Kinetics
Surface Chemistry
General Principles and Processes of Isolation of Elements
The p-Block Elements-XII
The d and f Block Elements
Coordination Compounds
Haloalkanes and Haloarenes
Alcohols, Phenols and Ethers
Aldehydes, Ketones and Carboxylic Acids
Amines
Biomolecules
Polymers
Chemistry in Everyday Life

Physics Questions

Units and Measurement
Mathematical Tools
Motion in A Straight Line
Motion in A Plane
Laws of Motion
Work, Energy and Power
Systems of Particles and Rotational Motion
Gravitation
Mechanical Properties of Solids
Mechanical Properties of Fluids
Thermal Properties of Matter
Thermodynamics
Kinetic Theory of Gases
Oscillations
Waves
Electric Charges and Fields
Electrostatic Potential and Capacitance
Current Electricity
Moving Charges and Magnetism
Magnetism and Matter
Electromagnetic Induction
Alternating Current
Electromagnetic Waves
Ray Optics and Optical Instruments
Wave Optics
Dual Nature of Radiation and Matter
Atoms
Nuclei
Semiconductor Electronics

Zoology Questions

Animal Kingdom
Structural Organisation in Animals
Biomolecules
Digestion and Absorption
Breathing and Exchange of Gases
Body Fluids and Circulation
Excretory Products and their Elimination
Locomotion and Movement
Neural Control and Coordination
Chemical Coordination and Integration
Human Reproduction
Reproductive Health
Evolution
Human Health and Disease
Biotechnology Principles and Processes
Biotechnology and its Application