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Q.

The specific heat of a metal at low temperatures varies according to  S = aT3 where a is a constant and T is absolute temperature. The heat energy needed to raise unit mass of the metal from T = 1 K to T = 2 K is 

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a

3a    

b

15a/4                

c

12a/5

d

2a /3       

answer is B.

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Detailed Solution

Q=1K2KaT3dT

On integrating the R.H.S of the above equation we get,
Q=aT441K2K

So substituting the limits we get,
Q=a4[(2)4(1)4]

By calculating we get the value as,
Q=15a4

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