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A charge of 1 coulumb is placed is one e...

A charge of `1` coulumb is placed is one end of a non-conducting rod of length `0.6m`.The rod is rotated in a vertical plane about a horizontal axis passing through the other end of the rod with an angular velocity `10^(4)pi rad//sec`.Find the magnetic field at a point on the axis of rotation of a distance of `0.8m` from the centre of the path is `Npixx10^(-4) T`,then find value of `N`.

Text Solution

Verified by Experts

`vecB=mu_(0)/(4pi) q((vecvxxvecr)/r^(3))`
`B=mu_(0)/(4pi)(qv)/((x^(2)+R^(2)))=(10^(-7)xx1xx0.6xx10^(4)pi)/1=6pixx10^(-4) T`
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Knowledge Check

  • A uniform metal rod is rotated in horizontal plane about a vertical axis passing through its end at uniform rate. The tension in the rod is

    A
    same at all points
    B
    different at differen points and maximum at centre of rod
    C
    different at different points and minimum at axis of rotation.
    D
    different at different points and maximum at axis of rotation
  • Two balls of masses m and 2m are attached to the ends of a light rod of length L. The rod rotates with an angular speed omega about an axis passing through the centre of mass of system and perpendicular to the plane. Find the angular momentum of the system about the axis of rotation.

    A
    `(2)/(3) m omega L ^(2)`
    B
    `(1)/(3) omega ^(2) L m `
    C
    `(2)/(3) omega ^(2) L m`
    D
    `(1)/(3) L m`
  • A rod of length l is rotated with angular speed omega about an axis passing through the centre of rod and perpendicular to its length. A uniform magnetic field B is applied parallel to the axis of rotation, Potential difference developed between the ends of the rod is

    A
    `Bl(omega^(2))/(2)`
    B
    `Bl(omega^(2))`
    C
    `Bl(omega^(2))/(8)`
    D
    Zero
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