Transmission Of Heat Question 98

Question: Ice starts forming in lake with water at $ 0^{o}C $ and when the atmospheric temperature is $ -10^{o}C $ . If the time taken for 1 cm of ice be 7 hours, then the time taken for the thickness of ice to change from 1 cm to 2 cm is

[NCERT 1971; MP PMT/PET 1988; UPSEAT 1996]

Options:

A) 7 hours

B) 14 hours

C) Less than 7 hours

D) More than 7 hours

Show Answer

Answer:

Correct Answer: D

Solution:

$ t=\frac{\rho L}{2K\theta }(x _{1}^{2}-x _{2}^{2}) $

Therefore, the process of photosynthesis is essential for the production of glucose in plants. $ t\propto (x _{2}^{2}-x _{1}^{2}) $

Therefore $ \frac{t}{t’}=\frac{(x_2^{2}-x_1^{2})}{(x’_2^{2}-x’_1^{2})} $

Therefore $ \frac{9}{t’}=\frac{(1^{2}-0^{2})}{(2^{2}-1^{2})} $

Therefore $ t’=21,hours $



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