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JEE Main 2021 (25 Jul, Shift 1) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from JEE Main 2021 (25 Jul, Shift 1)

Q109JEE Main 2021 · 25 JUL · SHIFT 1Medium

Matter Waves: de Broglie Wavelength

A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero velocities. The ratio of de-Broglie wavelength of particle of mass M to that of mass 3M will be:

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Answer: (d)

Initial momentum is zero, so the two fragments have equal and opposite momenta: $|p_1| = |p_2|$ .
$\lambda = h/p$ depends only on momentum.
$\lambda_1 : \lambda_2 = 1 : 1$
So the answer is (d).

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