Physics And Measurement Question 77
Question: If $ C $ and $ L $ denote capacitance and inductance respectively, then the dimensions of $ LC $ are
[CPMT 1981; MP PET 1997]
Options:
A) $ M^{0}L^{0}T^{0} $
B) $ M^{0}L^{0}T^{2} $
C) $ M^{2}L^{0}T^{2} $
D) $ MLT^{2} $
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Answer:
Correct Answer: B
Solution:
$ f=\frac{1}{2\pi \sqrt{LC}}\Rightarrow LC=\frac{1}{f^{2}}=[M^{0}L^{0}T^{2}] $