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A particle of mass 3 xx 10^(-6)g has th...

A particle of mass ` 3 xx 10^(-6)g` has the same wavelength as an electron moving with a velocity `6 xx 10^(6) ms^(-1)`. The velocity of the particle is

A

`1.82xx10^(-18)m//s`

B

`1.82xx10^(-18)m//s`

C

`9xx10^(-2)m//s`

D

`3xx10^(-31)m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
de-Broglie wavelength of electron
`lambda=h/(mv)=(6.63xx10^(-34))/(9.1xx10^(-31)xx6xx10^(6))=1.214xx10^(-10)m`
Velocity of the particle
`v=h/(mlambda)=(6.63xx10^(-34))/(3xx10^(9)xx1.214xx10^(-10))=1.820xx10^(-15)ms^(-1)`
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