A nucleus of mass M at rest splits into two parts having masses M'/3 and 2M'/3 (M' < M). The ratio of de Broglie wavelength of two parts will be: (a) 1: 2 (b) 2: 1 (c) 1: 1 (d) 2: 3

Answer: (c). Momentum conservation from rest: p₁ = p₂ (equal and opposite). λ = h/p, so equal momenta give equal wavelengths. So the answer is (c) 1: 1.

A nucleus of mass M at rest splits into two parts having masses M'/3… | JEE Main 2022 (26 Jul, Shift 2)

Q11JEE Main 2022 · 26 JUL · SHIFT 2Easy

Nuclear Reactions & Q-value

A nucleus of mass $M$ at rest splits into two parts having masses $\frac{M'}{3}$ and $\frac{2M'}{3}\,(M' < M)$ . The ratio of de Broglie wavelength of two parts will be:

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Answer: (c)

Momentum conservation from rest: $p_1 = p_2$ (equal and opposite).
$\lambda = \dfrac{h}{p}$ , so equal momenta give equal wavelengths.
So the answer is (c) $1 : 1$ .

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