Dual Nature Of Light Question 352

Question: A particle of mass m is projected from ground with velocity u making angle $ \theta $ with the vertical. The de-Broglie wavelength of the particle at the highest point is -

Options:

A) $ \infty $

B) $ \frac{h}{mu\sin \theta } $

C) $ \frac{h}{mu\cos \theta } $

D) $ \frac{h}{mu} $

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Answer:

Correct Answer: B

Solution:

[b] Velocity at highest point $ ~=usin\theta . $
$ \therefore {\lambda_{D}}=\frac{h}{mu\sin \theta } $ (Since $ \theta $ is velocity wrt vertical)