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A nucleus A, With a finite de-broglie wa...

A nucleus A, With a finite de-broglie wavelength `lambda_(A)`, undergoes spontaneous fission into two nuclei B and C of equal mass. B flies in the same direction as that of A, While C flies in the opposite direction with a velocity equal to half of that of B . The de-Broglie wavelength `lambda_(B)` and `lambda_(B)` and C are respectively:

A

`lambda_(A) 2lambda_(A)`

B

`(lambda_(A))/2,lambda_(A)`

C

`lambda_(A),(lambda_(A))/2`

D

`2lambda_(A),lambda_(A)`

Text Solution

Verified by Experts

The correct Answer is:
B
`{:(Atou,overset(v//2)larrC,Btov),(2m,m,m),(lambda_(A)=h/(2"mu"),lambda_(B)=h/(mv)=(lambda_(A))/2,lambda_(C)=h/(mv/2)=lambda_(A)):}`
Applying conservation of linear momentum
` " mu " = (mv)/2 +mv rArr v = 4u` .
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