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The velocities of two particles A and B ...

The velocities of two particles A and B are 0.05 and `0.02ms^(-1)` respectively. The mass of B is five times the mass of A. The ratio of their de- Broglie's wavelength is

A

`2:1`

B

`1:4`

C

`1:1`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
A
Given velocity of particle `A=0.05ms^(-1)`
velocity of particles `B=0.02 ms^(-1)`
Let the mass of particle A=x
:. The mass of particle `B=5x` de-Broglie's equation is `lambda=h/(mv)`
for particle A `lambda_(A)=h/(x xx0.5)`
for particle B `lambda_(B)=h/(5x xx0.02)`
E.q (i)//(ii) `lambda_(A)/lambda_(B)=(5x xx0.02)/(x xx0.05)`
`lambda_(A)/lambda_(B)=2/1`
or `2:1`
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