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Q.

Four different situations are shown in list-I. Corresponding to the given situations relation between heat energy & temperature are shown in list-II. Match the correct list.

 List-I List-II
PA and B are 2 spheres of same size kept in an isothermal chamber at equilibrium is kept at constant temperature  T0. A is black body and B is gray body with emissivity 0.8. (consider steady state)  Question Image1TA>TB  orTA=TB
QA and B are the graphs of spectral emissive power  Eλ  vs. wave length of two black bodies A and B of same surface area.  Question Image2TA<TB
RA is a solid sphere and B is a thick spherical shell. A is connected to a power source. Surfaces A and B are perfect black bodies (consider steady state)  Question Image3Heat energy radiated by A is greater than B
S(1) and (2) are large black body surface maintained at temperature T1  and  T2 respectively. A and B are large plates with emissivity e = 1. (Consider steady state only,  T1>T2)  Question Image4Heat energy radiated by B is greater than A

 

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a

P 3,1  ;  Q2; R-1 ; S-1

b

P1;Q4,2 ; R-3 ; S-2

c

P 3,1 ; Q2,4 ; R-3,1; S-1

d

P3,1  ;  Q2 ; R-3,1 ; S-1

answer is B.

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Detailed Solution

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P)

Emissive power =eσT4 area of A & B is same, so heat energy radiated will be more for which have more value of e.

Question Image

Q)

On increasing temperature peak of graph shift ϕ left. so TB>TA B have more area under curve so emissive power is more but heat energy of A & B cannot be predicted untiel area of A & B is known.

Question Image

R)

Direction & heat flow from A to B so TA>TB

Question Image

S)

At steady state dQdt is same for all but direction of heat flow from  T1 to  T2 so TA>TB

Question Image
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