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A rod P of length 1 m, is hinged at one ...

A rod P of length 1 m, is hinged at one end A there is a ring attached to the other end. Another long rod Q is hinged at B and it passes through the ring. The rod P is rotated about an axis which is perpendicular to the plane is which both rods are present and the variations between the angles `theta` and `phi` are plotted as shown. The distance between the hinges A and B is

A

3 m

B

1 m

C

2 m

D

`2sqrt2m`

Text Solution

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The correct Answer is:
C
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A metallic rod of length lis hinged at one end and the other end is rotated with a constant angular speed omega about an axis passing through the hinge. A constant and uniform magnetic field B, parallel to the axis of rotation exists everywhere. The induced emf between the two ends of rod is 1/2 Bl omega^(2) .

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Knowledge Check

  • if rod is rotated about an axis passing through its mid-point , the potential difference between the ends of rod is

    A
    `(BomegaL^(2))/(4)`
    B
    `(BomegaL^(2))/(2)`
    C
    `(3BomegaL^(2))/(4)`
    D
    zero
  • Moment of inertia of a thin rod of mass m and length l about an axis passing through a point l/4 from one end and perpendicular to the rod is

    A
    `(ml^(2))/(12)`
    B
    `(ml^(2))/(3)`
    C
    `(7 ml^(2))/(48)`
    D
    `(ml^(2))/(9)`
  • Moment of inertia of a thin uniform rod about an axis passing through one end perpendicular to its length is I . Then moment of inertia the same rod about the central axis perpendicular to its plane is

    A
    `I//4`
    B
    2I
    C
    4I
    D
    3 I
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