Q.

A nucleus X of mass M, initially at rest, undergoes alpha decay according the equation
 ZAXZ2A4Y+24He
The alpha particle emitted in the above process is found to move in a circular track of radius r in a uniform magnetic field B. Then (mass and charge of  -particle are m and q respectively)
 

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a

The ratio of kinetic energies of the alpha particle and the daughter nucleus Y approximately equals  Mmm

b

The ratio of kinetic energies of the alpha particle and the daughter nucleus Y approximately equals  mM

c

The energy released in the process approximately equals  MMmr2q2B22m

d

The energy released in the process approximately equals  MM+mr2q2B22m

answer is A, C.

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Detailed Solution

r=pqB

E=p22μ

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A nucleus X of mass M, initially at rest, undergoes alpha decay according the equation ZAX→Z−2A−4Y+24HeThe alpha particle emitted in the above process is found to move in a circular track of radius r in a uniform magnetic field B. Then (mass and charge of  -particle are m and q respectively)