Physics And Measurement Question 137

Question: If $ L,C $ and $ R $ denote the inductance, capacitance and resistance respectively, the dimensional formula for $ C^{2}LR $ is

[UPSEAT 2002]

Options:

A) $ [M{{L}^{-2}}{{T}^{-1}}I^{0}] $

B) $ [M^{0}L^{0}T^{3}I^{0}] $

C) $ [{{M}^{-1}}{{L}^{-2}}T^{6}I^{2}] $

D) $ [M^{0}L^{0}T^{2}I^{0}] $

Show Answer

Answer:

Correct Answer: B

Solution:

$ C^{2}LR=[C^{2}L^{2}]\times [ \frac{R}{L} ]=[T^{4}]\times [ \frac{1}{T} ]=[T^{3}] $ As $ [ \frac{L}{R} ]=T $ and $ \sqrt{LC}=T $



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