Dimensional Formula of Planck’s Constant

The correct dimensional formula for Planck's constant \(h\) will be

\([ML^2 T^{-1}]\)

\([ML^2 T^{-2}]\)

\([ML^2 T^{-3}]\)

\([ML^{-2} T^1]\)

Solution:

From Planck's equation, \(E = h\nu\), we have \(h = \frac{E}{nu}\) where \(E\) is energy and \(nu\) is frequency. Thus, \([h] = \frac{[ML^2T^{-2}]}{[T^{-1}]} = [ML^2T^{-1}]\).

Dimensional Formula of Planck’s Constant

Solution:

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