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STATEMENT-1: One end of a string of leng...

STATEMENT-1: One end of a string of length r is tied to a stone of mass m and the other end to a small pivot on a frictionless vertical board. The stone is whirled in a vertical circle with the pivot as the centre. The minimum speed the stone must have, when it is at the topmost point on the circle, so that the string does not slack is `sqrt( gR)`.
because
STATEMENT-2: At the topmost point on the circle, the centripetal force is provided partly by tension in the string and partly by the weight of the stone.

A

Statement-1 is true, Statement-2 is True, Statement -2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True, Statement -2 is NOT a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement - 1 is False, Statement -2 is True.

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • A stone is fastened to one end of a string and is whirled in a verticla circle of radius R. Find the minimum speed the stone can have at the highest point of the circle.

    A
    `v=sqrt(3Rg)`
    B
    `v=sqrt(Rg)`
    C
    `v=sqrt(4Rg)`
    D
    `v=sqrt(7Rg)`
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    A
    `5ms^(-1),10N`
    B
    `6.32ms^(-1),12N`
    C
    `6.32ms^(-1),10N`
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    `2ms^(-1),10N`
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    B
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    C
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    D
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