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  4. Two uniform brass rods A and B of lengths l and 2l and radii 2r and r respectively are heated to the same temperature. The ratio of the increase in the volumes of A to that of B is

Q. Two uniform brass rods A and B of lengths and and radii and respectively are heated to the same temperature. The ratio of the increase in the volumes of A to that of B is

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Solution:

For brass rod A
Volume = ...(i)
For volume expansion


Or ...(ii)
Similarly, for brass rod B
Volume ...(iii)
and ...(iv)
Dividing Eq. (i) by Eq. (ii), we get

From eqs. (ii) and (iv),

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