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If mass of an atom is M moving with a speed v what will be it's speed after emission of an alpha particle if speed of alpha particle is 0 a) Mv /M+2 b) Mv/M-4 please explain with solution. .?
Most Upvoted Answer
If mass of an atom is M moving with a speed v what will be it's speed ...
Given:
Mass of the atom = M
Speed of the atom = v

We need to find the speed of the atom after the emission of an alpha particle.

Solution:

When an alpha particle is emitted, the mass of the atom decreases by 4 units (since an alpha particle has a mass of 4 units) and the momentum is conserved.

Let's consider the initial momentum of the atom:

Initial momentum = Mass x Velocity = Mv

Since momentum is conserved, the final momentum of the system (atom + alpha particle) should be equal to the initial momentum.

Final momentum = Initial momentum

Let's consider the final velocity of the atom after the emission of the alpha particle as V.

Final momentum of the atom = Mass of the atom x Final velocity of the atom = M x V

Now, let's consider the momentum of the emitted alpha particle:

Mass of the alpha particle = 4 units
Speed of the alpha particle = 0 (given)

Momentum of the alpha particle = Mass of the alpha particle x Speed of the alpha particle = 4 x 0 = 0

Since momentum is conserved, the final momentum of the system (atom + alpha particle) should be equal to the initial momentum.

Final momentum = Initial momentum

Mv = M x V + 0

Mv = M x V

Dividing both sides by M:

v = V

Therefore, the speed of the atom after the emission of an alpha particle is equal to its initial speed, v.

Answer:
The speed of the atom after the emission of an alpha particle is v.
Community Answer
If mass of an atom is M moving with a speed v what will be it's speed ...
A/c to conservation of momentum,Pi=Pf;M×V=(M-4)V'+0 ;V'=MV/M-4
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