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The following four-wire (length L and diameter D) are made of the same material. Which of these will have the largest extension when the same tension is applied?
1. L = 50 cm, D= 0.5 mm
2. L = 100 cm, D= 1 mm
3. L = 200 cm, D= 2 mm
4. L= 300 cm, D= 0.5 mm 

The rate of emission of a black body at 0°C is R. Its rate of emission at 273°C is
1. 4R
2. SR
3. 16R
4. 32R 

An ideal gas with an adiabatic exponent ($\mathrm{\gamma }$ = 1.5) undergoes a process in which work done by the gas is the same as an increase in the internal energy of the gas. The molar heat capacity of gas for the process is -
1. C = 4R
2. C = 0
3. C = 2R
4. C = R

If W₁ is the work done in compressing an ideal gas from a given initial state through a certain volume isothermally and W₂ is the work done in compressing the same gas from the same initial state through the same volume adiabatically, then:
1. W₁ = W₂
2. W₁ < W₂
3. W₁ > W₂
4. W₁ = 2W₂

An ideal gas changes from the state a to state b as shown in figure. What is the work done by the gas in the process ?

1. zero
2. negatrve
3. postme
4. infinite
 

Maxwell's velocity distribution curve is given for two different temperatures. For the given curves.

1. T₁ > T₂
2. T₁ < T₂
3. T₁ $\le$ T₂
4. T₁ = T₂

The root-mean-square (rms) speed of oxygen (O₂) molecules at a certain absolute temperature is v. If the temperature is doubled and the oxygen gas dissociates into atomic oxygen, the rms speed would be
1. v
2. $\sqrt{2}$v
3. 2v
4. 2$\sqrt{2}$v

A vessel contains a mixture of 1 mole of oxygen and two moles of nitrogen at 300K. The ratio of the rotational kinetic energy per O₂ molecule to that's per N₂ molecule
1. 1:1
2. 1:2
3. 2:1
4. depends on the moment of inertia of the two molecules

A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is
1. 4RT
2. 15RT
3. 9RT
4. 11RT

In given process dW = 0, dQ <0 then for a gas
1. Temperature – increases
2. Volume - decreases
3. Pressure - decreases
4. Pressure – increases

A given mass of gas expands from state A to state B by three paths 1,2 and 3 as shown in the figure. If W₁, W₂, and W₈ respectively be the work done by the gas along the three paths then

1. W₁ > W₂ > W₈
2. W₁ < W₂ < W₈
3. W₁ = W₂ = W₈
4. W₁ < W₂ = W₈

Starting with the same initial conditions, an ideal gas expands from volume V₁, to V₂, The amount of work done by the gas is greatest when the expansion is
1. isothermal
2. isobaric
3. adiabatic
4. equal in all cases

A temperature of 100°F (Fahrenheit Scale) is equal to TK (Kelvin Scale). The value of Tis
1. 310.9
2. 37.8
3. 100
4. 122.4

A black body at temperature 300K radiates heat at the rate E. If its temperature is increased by 600K, the rate of radiation will increase to
1. 16 E
2. 64 E
3. 81 E
4. 256 E

A body cools down from 80°C to 70°C in 5 minutes. The temperature of the body will fall from 70°C to 60°C in a time
1. Less than 5 minutes
2. Equal to 5 minutes
3. More than 5 minutes
4. Can't say anything as the temperature of surrounding is not known

Three wires A, B, C made of the same material, and the radius have different lengths. The graphs in the figure show the elongation load variation. The longest wire is

1. A
2. B
3. C
4. All

The flow rate from a tap of diameter 1.25 cm is 3 lit/min. The coefficient of viscosity of water is 10^-3 Pas. The nature of flow is
1. Turbulent
2. Laminar
3. Neither laminar nor turbulent
4. data inadequate

Water flowing from a hose pipe fills a 15-liter container in one minute. The speed of water from the free opening of radius 1 cm is (in m/s )
1. 2.5
2. $\mathrm{\pi }$/2.5
3. 2.5/$\mathrm{\pi }$
4. 5$\mathrm{\pi }$

If a soap bubble of radius 3 cm coalesce with another soap bubble of radius 4 cm under isothermal conditions, the radius of the resultant bubble formed is in cm
1. 7
2. 1
3. 5
4. 12

Several spherical drops of a liquid each of radius r coalesce to form a single drop of radius R. If T is the surface tension, then the energy liberated will be
1. $4{\mathrm{pR}}^3\mathrm{T}(\frac{1}{\mathrm{r}}-\frac{1}{\mathrm{R}})$
2. $2{\mathrm{pR}}^3\mathrm{T}(\frac{1}{\mathrm{r}}-\frac{1}{\mathrm{R}})$
3. $\frac{4}{3}{\mathrm{pr}}^2\mathrm{T}(\frac{1}{\mathrm{r}}-\frac{1}{\mathrm{R}})$
4. $2\mathrm{pRT}(\frac{1}{\mathrm{R}}-\frac{1}{\mathrm{r}})$

A small spherical solid ball is dropped in a viscous liquid. Its journey in the liquid is best described in the figure by

1. Curve A
2. Curve B 
3. Curve C
4. Curve D

Water flows through a frictionless duct with a cross-section varying as shown in the figure. Pressure p at points along the axis is represented by

1. 
2. 
3. 
4. 

The figure below is shown the flow of liquid through a horizontal pipe. Three tubes A, B, and C are connected to the pipe. The radii of the tubes, A, B, and C at the junction are respectively 2 cm, 1 cm. and 2 cm. It can be said that the :

1. Height of the liquid in tube A is maximum
2. Height of the liquid in tubes A and B is the same
3. Height of the liquid in all three tubes is the same
4. Height of the liquid in tubes A and C is the same