Question
A cylindrical rod with one end in a steam chamber and the other end in ice results in melting of 0.1gm 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 14 that of first, the rate at which ice melts in gm/sec will be
Answer: Option C
:
C
Qt=KAΔθl⇒mLt=K(πr2)Δθl
⇒ Rate of melting of ice (mt)∝Kr2l
Since for second rod K becomes14th r becomes double and length becomes half, so rate of melting will
be twice i.e. (mt)2=2(mt)1=2×0.1=0.2gm/sec.
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:
C
Qt=KAΔθl⇒mLt=K(πr2)Δθl
⇒ Rate of melting of ice (mt)∝Kr2l
Since for second rod K becomes14th r becomes double and length becomes half, so rate of melting will
be twice i.e. (mt)2=2(mt)1=2×0.1=0.2gm/sec.
Was this answer helpful ?
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