First slide

Dimensions of physical quantities

Question

Dimensions of ‘ohm’ are same as

Moderate

A

$\frac{h}{e}$
B

$\frac{h^{2}}{e}$
C

$\frac{h}{e^{2}}$
D

$\frac{h^{2}}{e^{2}}$

Solution

Dimensions of (ohm) $R = \frac{h}{e^{2}}$
$(e = charge = current \times time) = \frac{[E t]}{[i t]^{2}} = \frac{P}{i^{2}} = R as P = \frac{E}{t}$

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