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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

` (lamda _ A)/( 2), lamda _ A`

B

` lamda _ 1 , 2 lamda _ A `

C

` 2 lamda _ A, lamda _ A `

D

` lamda _ A , ( lamda _ A ) /(2) `

Text Solution

Verified by Experts

` m _ A. u _A = m _ B.u_B - m_Cu _ C `
As ` m _B = m _ C , ( h ) / ( lamda _ A ) = m _ B.u_B - m_B ( u _B) /(2 ) `
` ( h ) /( lamda _ A ) = ( 1 ) / ( 2 ) m_B.u_B = ( 1 ) /(2) ( h ) /( lamda _B) `
` lamda _B = ( lamda _A )/( 2 ) , lamda _C = lamda _A `
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