Question

Choose the quantity out of the following options that has the same dimensions as Planck’s constant.

• A. linear impulse
• B. work
• C. linear momentum
• D. angular momentum

Answer 1

Answer: (D)

Energy of a photon, $E=h\upsilon$
where h is the Planck’s constant and is the frequency.
$\therefore \left[h\right]=\frac{\left[E\right]}{\left[\upsilon \right]}=\frac{\left[M{L}^2{T}^{-2}\right]}{\left[T^{-1}\right]}=\left[M{L}^2{T}^{-1}\right]$
$Angularmomentum=Momentofinertia\times Angularvelocity$
$\left[Angularmomenttum\right]=\left[M{L}^2\right]\left[T^{-1}\right]=\left[M{L}^2{T}^{-1}\right]$