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The specific heat of solids at low tempe...

The specific heat of 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=20K` is:

A

`4xx10^(4)mA`

B

`2 xx 10^(4)mA`

C

`8xx10^(6)mA`

D

`2xx10^(6)mA`.

Text Solution

Verified by Experts

The correct Answer is:
A
`Q=int_(0)^(20)mS" "dT=int_(0)^(20)(AT^3)dT=4xx10^(4)mA`.
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Knowledge Check

  • 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`

  • Specific heat of a metal at very low temperatures varies as

    A
    T
    B
    `T^(2)`
    C
    `T^(3//2)`
    D
    `T^(3)`

  • The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from T_(1) K to T_(2) K is :

    A
    `(3)/(4)N_(a)k_(B)((T_(2))/(T_(1)))`
    B
    `(3)/(8)N_(a)k_(b)(T_(2)-T_(1))`
    C
    `(3)/(2)N_(a)k_(B)(T_(2)-T_(1))`
    D
    `(3)/(4)N_(a)k_(B)(T_(2)-T_(1))`

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