A nucleus A, with a finite de-Broglie wavelength 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 B and C of B and C are respectively |
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(a) |
2A, A |
(b) |
A, |
(c) |
, A |
(d) |
A, 2 A |
A nucleus A, with a finite de-Broglie wavelength 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 B and C of B and C are respectively |
|||
(a) |
2A, A |
(b) |
A, |
(c) |
, A |
(d) |
A, 2 A |
A =
Conservation of linear momentum
⇒ mVA =
⇒ A =
∴ VA =
B = = =
c = = = A