Question

If $C$ and $L$ denote the capacitance and inductance respectively, the units of $LC$ are

• A. $\left[ M ^{0} L ^{0} T ^{2}\right]$
• B. $\left[ M ^{0} L ^{2} T ^{-2}\right]$
• C. $\left[ MLT ^{-2}\right]$
• D. $\left[ M ^{0} L ^{0} T ^{0}\right]$

Answer 1

Answer: (A)

$\left[ M ^{0} L ^{0} T ^{2}\right]$

Answer 2

Resonating frequency $f =\frac{1}{2 \pi \sqrt{L C}}$ $L C =\frac{1}{4 \pi^{2} f^{2}}$ Dimension of $L C=$ Dimension of $\frac{1}{4 \pi^{2} f^{2}}$ $=\left[M^{0} L^{0} T^{2}\right]$