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A particle of mass 100 g moving at an in...

A particle of mass 100 g moving at an initial speed u collides with another particle of same mass kept initially at rest. If the total kinetic energy becomes 0.2 J after the collision what could be minimum and the maximum value of u.

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The correct Answer is:
A, B

In elastic collision, velocities are interchanged. So, `v` is minimum
`:. 1/2xx0.1xxv^2=0.2`
`:. V=2m//s=`minimum value
In perfectly inelastic collision, speed of combined mass will remain half.
`:. 1/2xx0.1xx(v/2)^2=0.2`
`:. v=2sqrt2m//s`=maximum value
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