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The quantities of heat required to raise...

The quantities of heat required to raise the temperature of two solid copper spheres of radii `r_1` and `r_2` `(r_1 = 1.5 r_2)` through 1K are in ratio

A

`9/(4)`

B

`3/(2)`

C

`5/(3)`

D

`27/(8)`

Text Solution

Verified by Experts

The correct Answer is:
D
`DeltaQ=M_(S)DeltaT`
S is same for same material
`DeltaQpropr^(3)`
Since, `DeltaQpropMandM=4/(3)`
`(DeltaQ_(1))/(DeltaQ_(2))=(r_(1)/(r_(2)))^(2)=(1.5/(1))^(2)=27/(8)`
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