Physics And Measurement Question 34

Question: $ X=3YZ^{2} $ find dimension of $ Y $ in (MKSA) system, if $ X $ and $ Z $ are the dimension of capacity and magnetic field respectively

[MP PMT 2003]

Options:

A) $ {{M}^{-3}}{{L}^{-2}}{{T}^{-4}}{{A}^{-1}} $

B) $ M{{L}^{-2}} $

C) $ {{M}^{-3}}{{L}^{-2}}T^{4}A^{4} $

D) $ {{M}^{-3}}{{L}^{-2}}T^{8}A^{4} $

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Answer:

Correct Answer: D

Solution:

$ Y=\frac{X}{3Z^{2}}=\frac{{{M}^{-1}}{{L}^{-2}}T^{4}A^{2}}{{{[M{{T}^{-2}}{{A}^{-1}}]}^{2}}}=[{{M}^{-3}}{{L}^{-2}}T^{8}A^{4}] $



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