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Question

A ball with velocity 9 m/s collides with another similar stationary ball. After the collision the two balls move in directions making an angle of 30o with the initial direction. The ratio of the speeds of balls after the collision will be :
138439_8f0c02b951344cb5b82ba5bcc930f0f5.png

A
v1v2=1
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B
v1v2>1
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C
v1v2<1
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D
v1v2=0
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Solution

The correct option is A v1v2=1
Let v1 and v2 be the velocities of above and below particles respectively, as there is no external force .momentum is conserved.
conserving the momentum in vertical direction,

mv1sin(30)=mv2sin(30)

v1=v2

v1v2=1

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