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Question

The dimension of LC, where L is the inductance and C is the capacitance, is -

A
[L]
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B
[L2]
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C
[T]
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D
[T2]
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Solution

The correct option is D [T2]
We know that, frequency of oscillations of charge in the LC circuit is,

f=12πLC

So, time period,

T0=1f=2πLC

Now,

[T0]=[2πLC]

[T0]=[LC] [2π is constant]

[LC]=[T20]

Therefore, LC has dimension [T2].

Hence, option (D) is the correct answer.

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