HARD
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Scientists have made a light source whose spectral emissive power dIdλ is constant over the visible range. Here I is intensity and λ is the wavelength. In other words, dIdλ graph is shown below. This beam of area 1 m2 is incident on the emitter plate of the photoelectric tube. The collector plate is sufficiently positive so that tube is in saturation mode. Assume that each capable photon liberates 1 electron. If work function is 2 eV, what is the current (in A) in the tube? Round off to the nearest integer.

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Important Questions on Heat and Thermodynamics

MEDIUM
A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The thermal conductivity of the material of the inner cylinder is K1 and that of the outer cylinder is K2. Assuming no loss of heat, the effective thermal conductivity of the system for heat flowing along the length of the cylinder is:
MEDIUM
Heat energy is incident on the surface of a material at the rate of 1000 J min-1. If the coefficient of absorption is 0.8 and the coefficient of reflection is 0.1, then the amount of heat energy transmitted through the material in 5 minutes is
MEDIUM
A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U1, at wavelength 500  nm is U2 and that at 1000 nm is U3. Wien's constant, b=2.88×106 nm K. Which of the following is correct?
HARD

A thin piece of thermal conductor of constant thermal conductivity insulated on the lateral sides connects two reservoirs which are maintained at temperatures, T1 and, T2 as shown. Assuming that the system is in steady-state, which of the following plots best represents the dependence of the rate of change of entropy on the ratio of temperatures, T1T2

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EASY
Let there be four identical cubes having colours blue, red, black and white. When they are heated together and allowed to cool under identical conditions, which cube will cool at the earliest?
MEDIUM
Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures T1=300 K and T2=100 K as shown in the figure. The radius of the bigger cylinder is twice that of the smaller one and the thermal conductivities of the materials of the smaller and the larger cylinders are K1 and K2, respectively. If the temperature at the junction of the two cylinders in the steady state is 200 K, then K1/K2 is

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EASY
If the surface is a perfect reflector, the change in momentum of the wave after falling on the surface is
HARD
Two rectangular blocks, having identical dimensions, can be arranged either in configuration  I or in configuration II as shown in the figure. One of the blocks has thermal conductivity K and the other 2 K . The temperature difference between the ends along the x-axis is the same in both the configurations. It takes 9 s to transport a certain amount of heat from the hot end to cold end in the configuration I . The time to transport the same amount of heat in the configuration II is

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EASY
In Raman effect, the spectral line with lower frequency than the incident frequency is
EASY
A certain planet is at a distance d from the sun. Then the temperature of the planet is
EASY
On observing light from three different stars P , Q and R , it was found that intensity of violet colour is maximum in the spectrum of P , the intensity of green colour is maximum in the spectrum of R and the intensity of red colour is maximum in the spectrum of Q . If Tp, TQ and TR are the respective absolute temperatures of P , Q and R , then it can be concluded from the above observations that :
HARD
Three large identical plates are kept parallel to each other. The outer two plates are maintained at temperatures T and 2T, respectively. The temperature of the middle plate in steady state will be close to
EASY
The two ends of a metal rod are maintained at temperatures 100 °C and 110 °C . The rate of heat flow in the rod is found to be 4.0 J s-1 . If the ends are maintained at temperatures 200 °C and 210 °C , the rate of heat flow will be:
EASY
A heat source at T=103 K is connected to another heat reservoir at T=102 K by a copper slab which is 1 m thick. Given that the thermal conductivity of copper is 0.1 W K-1 m-1, the energy flux through it in the steady-state is:
EASY
Two spherical black bodies have radii r1 and r 2. Their surface temperatures are T1 and T 2. If they radiate same power then r2r1 is
MEDIUM
A spherical black body with a radius of 12 cm radiates 450 W power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be
MEDIUM

A metallic prong consists of 4 rods made of the same material, cross-section, and same lengths as shown.

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The three forked ends are kept at 100oC and the handle end is at 0oC. The temperature of the junction is

EASY
(A) The energy emitted versus wavelength plot of a black body depends on the material of the black body.
(B) The emissivity of a completely reflecting surface is zero.
(C) Emissivity is equal to (absorptive power)2.
(D) Black-body radiates more than normal body Which of the following is correct?
EASY
For any material, if R, T and A represent the reflection coefficient, transparent coefficient and absorption coefficient respectively, then for a blackbody which one of the following is true