First slide

Matter waves (DC Broglie waves)

Question

A particle of mass M at rest, decays into two masses $m_{1} a n d m_{2}$ with non-zero velocities. The ratio of Broglie wave length of the particles ‘ $\frac{λ_{1}}{λ_{2}}$ ’ is _____

Easy

A

$\frac{\sqrt{m_{1}}}{\sqrt{m_{2}}}$
B

1 : 1
C

$\frac{\sqrt{m_{2}}}{\sqrt{m_{1}}}$
D

$\frac{m_{1}}{m_{2}}$

Solution

Linear momentum is conserved $∴ P_{1} = P_{2}$
$∴ \frac{λ_{1}}{λ_{2}} = \frac{h / P_{1}}{h / P_{2}} \Rightarrow \frac{λ_{1}}{λ_{2}} = \frac{P_{2}}{P_{1}} = 1$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App