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A small particle travelling with a veloc...

A small particle travelling with a velocity v collides elastically with a spbereical body of equal masss and of radius r initially kept at rest. The centre of this spherical body is located a distnce `rho(ltr)` away from the direction of motion of the particle figure. Find the final velocities of the two particles.

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The correct Answer is:
A, B, C, D

Let the mass of both the particle and the spherical body m the particle velocity v has two components `v cosalpha` normal to the sphere and `v sin alpha` tangential to the sphere.
After the collision, they will exchanged their velocity . So, the spherical body wil have a velocity `vcosalpha` and the particle wl not have any component of velocity in this direction.
[The collision will be due to the component `v cos alpha` in the normal direction
but, the tantential velocity, of the particke `vsiN/Alpha` will be uN/Affected]
So, velocity of the sphere `=v cos alpha`
`=v/r sqrt(r^2-p^2)`
and velocity of the particle `=vsiN/Alpha`
`(vp)/r`.
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