Two particles A and B are in motion. If the wavelength associated with the particle A is `5.0xx10^(-8)m` ,the wavelength of particle B having moment half of A is

Options

A. `2.5xx10^(-8)m`
B. `1.25xx10^(-8)m`
C. `1.0xx10^(-7)m`
D. `1.2xx10^(-8)m`

Answer

C

Explanation

`lamda_(A)=h/(p_(a))" "lamda_(B)=h/(p_(B))`
`p_(B)=p_(A)//2`
`(lamda_(B))/(lamda_(A))=(P_(A))/(P_(B))=(P_(A))/(P_(A//2))=2`
`:.lamda_(B)=2xxlamda_(a)=2xx5xx10^(-8)m=1xx10^(-7)m`