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Q.

Statement-1:A pair of upright metersticks, with their lower ends against a wall, are allowed to fall to the floor. One is bare, and the other has a heavy weight attached to its upper end. The stick to hit the floor first is the weighted stick.Statement-2: The torque acting on weighted stick is more than the bare stick.

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a

Statement-1 is true, statement-2 is true and statement-2 is the Correct explanation for statement-1.

b

Statement-1 is true, statement-2 is true and statement-2 is not the correct explanation for statement-1.

c

Statement-1 is true, statement-2 is false.

d

Statement-1 is false, statement-2 is true.

answer is D.

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Detailed Solution

α1=mgl2sin⁡θml23=3gsin⁡θ2lα2≃Mglsin⁡θMl2=gsin⁡θlSince angular acceleration for the weighted stick is less, it will hit the floor later. Also, torque acting on weighted stick is more.
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