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Given,
(For Nucleus)
u =0 (stationary )
P = mu =0
●【Nucleus decays by emitting proton with speed v to form new nucleus with speed u】●
Let the mass of NUCLEUS be m
Number of nucleus in new nucleus =[A-1]
(after decay),
Momentum = NO° of nucleus × mv
p = (A -1) × m (-u)
u is negative because new nucleus and proton travels in opposite direction.
● Total momentum after decay = momentum of proton + momentum of new nucleus●
P = mv + [(A-1)m(-u)]
P = mv + [-(A-1)mu]
p = mv - (A-1)mu
Now, apply law of conservation of momentum
P(final) = p (initial)
mv - (A-1)mu =0
【initial momentum is 0 】
mv = (A-1)mu
v = (A-1)u
●◆option 2 is correct ◆●
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Explanation:
opton 2 is correct Answer
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