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Four spheres A, B, C and D of different ...

Four spheres A, B, C and D of different metals but all same radius are kept at same temperature. The ratio all their densities and specific heats are `2:3:5:1` and `3:6:2:4`. Which sphere will show the fastest rate all cooling (initially) (assume black body radiation for all of them)

A

A

B

B

C

C

D

D

Text Solution

Verified by Experts

The correct Answer is:
D
Rate of energy loss is same in all the cases, so `(dQ)/(dt)=k" so",ms(d theta)/(dt)=k`
So, `(d theta)/(dt)=(k)/(ms)=(k)/((rhos)v)=(k)/(rhos)"So",((d theta)/(dt))_(A):((d theta)/(dt))_(B):((d theta)/(dt))_(C):((d theta)/(dt))_(D)=(1)/(6):(1)/(18):(1)/(10):(1)/(4)`
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