A nucleus of mass M at rest splits into two parts having masses ( M prime/3) and (2 M prime/3)( M prime

Question

A nucleus of mass M at rest splits into two parts having masses ( M prime/3) and (2 M prime/3)( M prime< M ). The ratio of de Broglie wavelength of two parts will be : (A) 1: 2 (B) 2: 1 (C) 1: 1 (D) 2: 3

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/1ea894e5461d50d07c01350160c66911-.png" /> | vec P 1|=| vec P 2| Here vecP is momentum So λ=( h / P ) Hence both will have same de broglie wavelength.

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

$1 : 2$

$2 : 1$

$1 : 1$

$2 : 3$

$∣ ∣ P_{1} ∣ ∣ = ∣ ∣ P_{2} ∣ ∣$
Here $P$ is momentum
So $λ = \frac{h}{P}$
Hence both will have same de broglie wavelength.

Q. A nucleus of mass M at rest splits into two parts having masses 3M′​ and 32M′​(M′<M). The ratio of de Broglie wavelength of two parts will be :

1:2

2:1

1:1

2:3