Question

Consider an unstable nucleus of mass M initially at rest emits an element of mass M/50 the Q value for this reaction is E what will be the kinetic energy of emitted element

Answer 1

The given mass of the nucleus as rest is M.

• When it starts emitting the mass, the after decay mass is M/50.
• Now the relation between the Q value and kinetic energy.
• Kinetic Energy= mass after decay× Q value / mass before decay.
• Kinetic Energy=(M/50)×Q value/M
• Kinetic Energy=(1/50)×Q value.
• Which shows that Q value is 50 times to that of the kinetic energy.
• As we don't have the specific value of M so above will be our answer.
• We can write it as 50×Kinetic energy=Q value.

Answer 2

M = M/50 + Q

so, from E=M*C^2 →①

Q=[M - M/50]*C^2    →②

from ② & ①, We get
Q= {49/50}E
Thankyou...