Physics And Measurement Question 72

Question: The dimensions of coefficient of thermal conductivity is

[MP PMT 1993]

Options:

A) $ ML^{2}{{T}^{-2}}{{K}^{-1}} $

B) $ ML{{T}^{-3}}{{K}^{-1}} $

C) $ ML{{T}^{-2}}{{K}^{-1}} $

D) $ ML{{T}^{-3}}K $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{dQ}{dt}=-KA( \frac{d\theta }{dx} ) $
$ \Rightarrow $ [K] = $ \frac{[ML^{2}{{T}^{-2}}]}{[T]}\times \frac{[L]}{[L^{2}]\ [K]} $ = $ ML{{T}^{-3}}{{K}^{-1}} $



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