The dimensions of inductance/resistance (L/R) are the same as those of

The correct answer is Option (1) → time

The inductive reactance \( X_L=\omega L \) has the same dimension as resistance:

    \( [\omega L]=[R] \)

Dividing both sides by \( \omega R \), with \( [\omega]=[\mathrm{T^{-1}}] \):

    \( \begin{aligned} \left[\frac{L}{R}\right] &= \frac{1}{[\omega]} \\ &= [\mathrm{T}] \end{aligned} \)

Hence, \( L/R \) has the dimension of time. So henry per ohm is a second.

NCERT (2026-27):
AC Voltage Applied to an Inductor – “… The quantity ωL is analogous to the resistance and is called inductive reactance, denoted by X_L:

    \( X_L=\omega L \qquad (7.13) \)

… The dimension of inductive reactance is the same as that of resistance and its SI unit is ohm (Ω).”