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  4. The square root of the product of inductance and capacitance has the dimension of

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Q. The square root of the product of inductance and capacitance has the dimension of

NTA AbhyasNTA Abhyas 2022

Solution:

We know, $f=\frac{1}{2 \pi \sqrt{LC}}$
Or $ \, \, \sqrt{LC}=\frac{1}{2 \pi f}=time$
Thus, $\sqrt{LC}$ has the dimension of time.