Dimensional formula of Planck constant is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \( [ML^{2}T^{-1}] \)
Planck's constant links the energy of a photon to its frequency, \( E = h\nu \), so its dimensions are those of energy divided by frequency.
\( \displaystyle h = \frac{E}{\nu} \)
\( [E] = [ML^{2}T^{-2}] \)
\( [\nu] = [T^{-1}] \)
\( \displaystyle [h] = \frac{[ML^{2}T^{-2}]}{[T^{-1}]} = [ML^{2}T^{-1}] \)
These are also the dimensions of angular momentum, as in Bohr's condition \( mvr = nh/2\pi \).
NCERT (2026-27):
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