Transmission Of Heat Question 64

Question: A heat flux of $ 4000\ J/s $ is to be passed through a copper rod of length $ 10\ cm $ and area of cross-section $ 100\ cm^{2} $ . The thermal conductivity of copper is $ 400\ W/m{{\ }^{o}}C $ . The two ends of this rod must be kept at a temperature difference of

[MP PMT 1999]

Options:

A) $ 1^{o}C $

B) $ 10^{o}C $

C) $ 100^{o}C $

D) $ 1000^{o}C $

Show Answer

Answer:

Correct Answer: C

Solution:

$ \Delta \theta =\frac{Q\times l}{KAt}=\frac{4000\times 0.1}{400\times {{10}^{-2}}}=100^{o}C $