Dimensional Formula of Planck’s Constant – Rankers Physics

Dimensions: Practice Problem & Solution

The correct dimensional formula for Planck's constant \(h\) will be
\([ML^2 T^{-1}]\)
\([ML^2 T^{-2}]\)
\([ML^2 T^{-3}]\)
\([ML^{-2} T^1]\)

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Dimensions. Understanding the underlying formula is key to arriving at the correct answer below:

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

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