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A cylindrical rod with one end in a stea...

A cylindrical rod with one end in a steam chamber and the other end in ice results in melting of 0.1 g of ice per second. If the rod is replaced by another with half the length and double the radius of the first and if the thermal conductivity of material of second rod is 1/4 that of first, the rate at which ice melts in `g//s` will be

A

0.4

B

0.05

C

0.2

D

0.1

Text Solution

Verified by Experts

The correct Answer is:
C
`R = l/(KA)`
l is halved, A si four times and K is `1/4` times.
`:.` R will become half. Hence, heat current will become two times. Therefore, rate of melting of ice will also become two times or `0.2 g//s`.
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Knowledge Check

  • A cylindrical rod with one end in a steam chamber and the other end in ice results in melting of 0.1 g of ice per second. If the rod is replaced by another rod with half the length and double the radius of the first and if the thermal conductivity of material of the second rod is 0.25 times that of first, the rate at which ice melts in gs^(-1) will be:

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