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On a horizontal smooth surface a disc is...

On a horizontal smooth surface a disc is placed at rest. Another disc of same mass is coming with impact parameter equal to its own radius. First disc is of radius r. What should be the radius of comping disc so that after collision first disc moves at an angle `45^(@)` to the direction of motion of incoming disc ?

A

2r

B

`r(sqrt(2)-1)`

C

`(r )/((sqrt(2)-1))`

D

`rsqrt(2)`

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The correct Answer is:
B
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