Solveeit Logo
Login

Question

Question: If \(C\) and \(L\) denote capacitance and inductance respectively, then the dimensions of \(LC\) are...

If CC and LL denote capacitance and inductance respectively, then the dimensions of LCLC are

A

M0L0T0M^{0}L^{0}T^{0}

B

M0L0T2M^{0}L^{0}T^{2}

C

M2L0T2M^{2}L^{0}T^{2}

D

MLT2MLT^{2}

Answer

M0L0T2M^{0}L^{0}T^{2}

Explanation

Solution

f=12πLC⇒LC=1f2=[M0L0T2]f = \frac{1}{2\pi\sqrt{LC}} \Rightarrow LC = \frac{1}{f^{2}} = \lbrack M^{0}L^{0}T^{2}\rbrack