A particle is dropped from a height H . The de-Broglie wavelength of the particle depends on height as

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A particle is dropped from a height

H

. The de-Broglie wavelength of the particle depends on height as

PhysicsDual Nature of MatterNEET

Options:

A $H^{- 1 ∕ 2}$
B $H^{0}$
C $H^{1 ∕ 2}$
D $H$

Solution:

1021 Upvotes Verified Answer

The correct answer is:

H^{- 1 ∕ 2}

de-Broglie wavelength

(λ) = \frac{h}{m v}

λ = \frac{h}{m \sqrt{2 g H}}

Hence,

λ \propto H^{- 1 ∕ 2}

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