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The de-Broglie wave corresponding to a p...

The de-Broglie wave corresponding to a particles of mass m and velocity v has a wavelength associated with it.

A

`sqrt(2)`

B

`1/(sqrt(2))`

C

`2`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
B

`K.E.=1/2 mv^(2)=E`
`:.v=sqrt((2xxE)/m)`
`:.(v_(2))/(v_(1))=sqrt(2)`
Also `lamda_(1)=1/(mv_(1)),lamda_(2)=1/(mv_(2))`
`(lamda_(2))/(lamda_(1))=(v_(1))/(v_(2))implieslamda_(2)=((v_(1))/(v_(2)))xxlamda_(1)=1/(sqrt(2))xxlamda_(1)`
Hence b is the correct answer.
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