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Electrostatic Potential Test - 9
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Electrostatic Potential Test - 9
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  • Question 1/10
    1 / -0.25

    A particle of mass 1 kg and charge 1/3 μC is projected towards a non conducting fixed spherical shell having the same charge uniformly distributed on its surface. The minimum initial velocity V0 of projection of particle required if the particle just grazes the shell is

    Solutions

    From conservation of angular momentum,

    from conservation of energy,

  • Question 2/10
    1 / -0.25

    A uniform electric field 100 V/ m is directed vertically downwards. Find the change in potential energy of an electron whose height decreases by 0.5 m.

    Solutions

    Definition based

  • Question 3/10
    1 / -0.25

    Negative mutual potential energy corresponds to attraction between two charges

    Solutions

    Definition based

  • Question 4/10
    1 / -0.25

    The amount of work done in moving a charge from one point to another along an equipotential line or surface charge is

    Solutions

    Since Potential difference between two points in equipotential surfaces is zero, the work done between two points in equipotential surface is also zero.

  • Question 5/10
    1 / -0.25

    In bringing an electron towards another electron, the electrostatic potential energy of the system

    Solutions

    Definition based

  • Question 6/10
    1 / -0.25

    The potential energy of a system containing only one point charge is

  • Question 7/10
    1 / -0.25

    A proton is accelerated from rest through a potential of 500 volts. Its final kinetic energy is

    Solutions

    K = qV

  • Question 8/10
    1 / -0.25

    The electrostatic potential energy between two charges q1 and q2 separated by a distance by r is given by

    Solutions

    We know that energy required/gained = force x displacement
    As F = kqQ / r2 and displacement is r
    We get U = kQq /r
    Where k = 1/4 ϵ

  • Question 9/10
    1 / -0.25

    What is the electrostatic potential energy of a system containing two charges 40 nC and 60 nC at a distance of 36 cm?

    Solutions

    Definition based

  • Question 10/10
    1 / -0.25

    Three point charges Q, +q and +q are placed at the vertices of a right-angled isosceles triangle as shown in the figure. If the net electrostaic energy of the configuration is zero, find the value Q\q is [Take √2 = 1.4]

    Solutions

    Given,

    The distance between them   when the electrostatic energy between two charges q1  and q2  is given as  

    According to the principle of superposition, total energy of the charge system as shown in the figure below is

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