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The specific heat of many solids at low ...

The specific heat of many solids at low temperatures varies with absolute temperature T according to the relation `S=AT^(3)`, where A is a constant. The heat energy required to raise the temperature of a mass m of such a solid from T = 0 to T = 20 K is

A

`4xx10^(4)mA`

B

`2xx10^(3)mA`

C

`8xx10^(6)mA`

D

`2xx10^(6)mA`

Text Solution

Verified by Experts

The correct Answer is:
A
`theta=int_(0)^(20)msdT=mAint_(0)^(20)T^(3)dT=mA((20)^(4))/(4)=4xx10^(4)mA`
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