A) the temperature is made \[200{}^\circ C\] and the area of cross-section of the rod is doubled
B) the temperature is made \[100{}^\circ C\] and length of rod is made four times
C) area of cross-section of rod is halved and length is doubled
D) the temperature is made \[100{}^\circ C\] and the area of cross-section of rod and length both are doubled
Correct Answer: D
Solution :
[d] Rate of melting of ice \[\propto \] rate of heat transfer and rate of heat transfer \[=\frac{\text{Temperature difference}}{\frac{l}{KA}}\] or rate of heat transfer \[\propto \frac{\text{(Temperature differnce)}}{l}A\]. If temperature difference A and l all are doubled, then obviously rate of heat transfer or rate of melting of ice will be doubled.
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