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A particle tied to a string describes a ...

A particle tied to a string describes a vertical circular motion of radius r continually. If it has a velocity `sqrt(3 gr` at the highest point, then the ratio of the respective tensions in the string holding it at the highest and lowest points is

A

`4:3`

B

`5:4`

C

`1:4`

D

`3:2`

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Knowledge Check

  • A particle tied to a string describes a vertical circular motion of radius r continually if it has a velocity sqrt(3gr) at the highest point, then the ratio of the respective tensions in the string holding it at the highest point and lowest points is:

    A
    `4:3`
    B
    `5:4`
    C
    `1:4`
    D
    `3:2`
  • A particle has velocity sqrt(3 rg) at the highest point in vertical circle. Find the ratio of tenions at the hightest and lowest point

    A
    `1 : 6`
    B
    `1 : 4`
    C
    `1 : 3`
    D
    `1 : 2`
  • A particle of mass m attached to an inextensible light string is moving in a vertical circle of radius r. The critical velocity at the highest point is v_( 0) to complete the vertical circle. The tension in the string when it becomes horizontal is

    A
    ` (3mv_(0)^(2))/(r)`
    B
    `(9 mv_(0)^(2))/(r)`
    C
    3mg
    D
    both (A) and (C) are correct
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