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One end of a cylindrical rod is kept in ...

One end of a cylindrical rod is kept in steam chamber and the other end in melting Ice. Now `0.5gm` of ice melts in `1sec` if the rod is replaced by another rod of same length half the diameter then rate of melting of ice will be (in gm/sec) .

A

`0.25`

B

`0.5`

C

`1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
A
`mL_(f)=(KA(Deltatheta)t)/(l)`
`rArr((m)/(t))_(2)/((m)/(t))_(1)=(K_(2))/(K_(1))((d_(2))/(d_(1)))^(2)=d=` dia meter
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