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Two spheres, each having mass m are susp...

Two spheres, each having mass m are suspended from a common point by two insulating strings of length l. The spheres are identically charged and the separation between the spheres is 'd' . Find the charge on each sphere.

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Knowledge Check

  • Two identical charged spheres suspended from a common point by two massless strings of length I are initially a distance d (dltltl) apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result the charges approach each other with a velocity v. Then as a function of distance x between them,

    A
    `vpropx6(-1)`
    B
    `vpropx^(1//2)`
    C
    `vpropx`
    D
    `vpropx^-(1//2)`
  • Two identical charged spheres suspended from a common point by two massless strings of lengths /, are initially at a distance d(dltltI) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as :

    A
    `VooX^(-1/2)`
    B
    `VooX^-1`
    C
    `VooX^(1/2)`
    D
    `VooX`
  • Two identical charged spheres suspended from a common point by two masses strings of length l are initially at a distance d (d lt lt 1) apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result the charge approaches each other with a velocity v. Then as a function of distance x between them

    A
    `v prop x^(-1)`
    B
    `v prop x^(1//2)`
    C
    `v prop x`
    D
    `v prop x^(-1//2)`
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