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Home/Practice questions/Physics
PhysicsDual Nature of Radiation and Matter

The dimensional formula of the de Broglie wavelength is

The dimensional formula of the de Broglie wavelength is

Answer & explanation+

Correct answer: option 3

The correct answer is Option (3) → \( [\mathrm{L}] \)

The de Broglie wavelength \( \lambda=h/p \) is a wavelength, that is, a length. Its dimensions follow from those of Planck’s constant \( h \) and momentum \( p \):

    \( \begin{aligned} [\lambda] &= \frac{[h]}{[p]} \\ &= \frac{[\mathrm{ML^{2}T^{-1}}]}{[\mathrm{MLT^{-1}}]} \\ &= [\mathrm{L}] \end{aligned} \)

Its SI unit is the metre.

NCERT (2026-27):
Summary

Textbook extract

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