Question

Plancks constant has same dimension as:

• A. angular momentum
• B. linear momentum
• C. force
• D. energy

Answer 1

Answer: (A)

The dimension of Planck's constant is given by
$h=\frac{E}{v}=\frac{\left[M{L}^2{T}^{-2}\right]}{\left[T^{-1}\right]}$
$=\left[M{L}^2{T}^{-1}\right]$
Dimension of angular momentum is $=$ moment of inertia $\times$ angular velocity $=\left[M{L}^2\right]\left[T^{-1}\right]=\left[M{L}^2{T}^{-1}\right]$
So, the dimension of Planck's constant is same as of angular momentum.