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Question

The dimensional formula of LR is the same as that of (where L is inductance and R is resistance)


A

frequency2

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B

time period

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C

frequency

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D

timeperiod2

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Solution

The correct option is B

time period


Step 1: Given

Inductance is L

Resistance is R

Step 2: Formula Used

Inductance is given as,

L=Vdidt,

Where V is potential difference and didt is rate of change of current.

By ohm's law, V=iR.

Step 3: Solution

Finding the expression for LR using the above formulas,

L=VdidtL=iRdidtV=iRLR=ididt

As the dimensional formula of both i and di are the same, they both cancel out. Thus, the dimensional formula of LR is the same as that of dt.

Thus, the dimensional formula of LR is,= M0L0T1

Out of all the given options, the dimensional formula of time is = M0L0T1.

Hence, the correct answer is option (B).


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