Electro Magnetic Induction And Alternating Currents Question 29

Question: L, C and R represent physical quantities inductance, capacitance and resistance respectively. The combination representing dimension of frequency is [MP PET 1995; DCE 2001]

Options:

A) LC

B) $ {{(LC)}^{-1/2}} $

C) $ {{( \frac{L}{C} )}^{-1/2}} $

D) $ \frac{C}{L} $

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Answer:

Correct Answer: B

Solution:

Frequency $ =\frac{1}{2\pi \sqrt{LC}} $

So the combination which represents dimension of frequency is

$ \frac{1}{\sqrt{LC}}={{(LC)}^{-1/2}} $

For series R-L-C circuit, $ Z=\sqrt{R^{2}+{{(X_{L}-X_{C})}^{2}}} $

$ =\sqrt{{{(300)}^{2}}+{{( 1000\times 0.9-\frac{10^{6}}{1000\times 2} )}^{2}}}=500\Omega $



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