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A ball of mass m with a charge q can rot...

A ball of mass m with a charge q can rotate in a vertical plane at the end of a string of length l in a uniform electrostatic field whose lines of force are directed upwards. What horizontal velocity must be imparted to the ball in the upper position so that the tension in the string in the lower position of the ball is 1.5 times than the weight of the ball?

Answer

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Knowledge Check

  • A particle of mass m is suspended from a string of length l fixed to the point O. What velocity should be imparted to the particle in its lowermost position so that the string is just able to reach the horizontal diameter of the circle?

    A
    `v = sqrt2gl`
    B
    `v = sqrt 3gl`
    C
    `v = sqrtgl`
    D
    `v = 2gl`

  • A particle of mass m and charge Q is attached to a string of length l. It is whirled in a vertical circle in the region of an electric field E as shown in the figure-5.105.What is the speed given to the particle at the point B,so that tension in the string when the particle is at A is ten times the weight of the particle?

    A
    `sqrt(5gl)`
    B
    `sqrt(5(g-(QE)/(m)))l`
    C
    `sqrt((QEl)/(m))`
    D
    `sqrt(5(g+(QE)/(m)))l`

  • A light rod of length l is pivoted at the upper end. Two masses (each m), are attached to the rod, one at the middle and the other at the free end. What horizontal velocity must be imparted to the lower end mass, so that the rod may just take up the horizontal position?

    A
    `sqrt(6lg)//5`
    B
    `sqrt(lg)//5`
    C
    `sqrt(12lg//5)`
    D
    `sqrt(2lg)//5`

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