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Test: Electrostatics - 2 - Grade 9 MCQ


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15 Questions MCQ Test - Test: Electrostatics - 2

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Test: Electrostatics - 2 - Question 1

Two spheres of radii r and R carry charges q and Q respectively. When they are connected by a wire, there will be no loss of energy of the system if

Detailed Solution for Test: Electrostatics - 2 - Question 1

There will be no loss of energy if the potential of the spheres is the same i.e. if
or

Test: Electrostatics - 2 - Question 2

In the figure shown, conducting shells A and B have charges Q and 2Q distributed uniformly over A and B. Value of V− VB is

Detailed Solution for Test: Electrostatics - 2 - Question 2


Test: Electrostatics - 2 - Question 3

The electric potential at a point (x,y) is given by: V = −Kxy. The electric field intensity a distance r from the origin varies as

Detailed Solution for Test: Electrostatics - 2 - Question 3


i.e.,

Test: Electrostatics - 2 - Question 4

A charge is placed at the axis of a charged ring of radius at a distance of as shown in figure. If ring is fixed and carrying a charge , the kinetic energy of charge when it is released and reaches the centre of ring will be,

Detailed Solution for Test: Electrostatics - 2 - Question 4

K.E. of at


(c)

Test: Electrostatics - 2 - Question 5

A solid hemispherical uniform charged body having charge Q is kept symmetrically along the y -axis as shown in figure. The electric potential at a distance d from the origin along the x -axis at point P will be

Detailed Solution for Test: Electrostatics - 2 - Question 5

Assuming sphere is complete then charge on it
So potential at point due to this spherical charge
Hence potential due to hemisphere

Test: Electrostatics - 2 - Question 6
Two charges and are placed apart as shown. A third charge is moved along the arc of a circle of radius from to The change in the potential energy of the system is , where is
Detailed Solution for Test: Electrostatics - 2 - Question 6
Change in potential energy



(a)
Test: Electrostatics - 2 - Question 7

Half part of ring is uniformly positively charged and other half is uniformly negatively charged. Ring is in equilibrium in uniform electric field as shown and free to rotate about an axis passing through its centre and perpendicular to plane. The equilibrium is

Detailed Solution for Test: Electrostatics - 2 - Question 7

Assuming ring as dipole, then dipole moment  are in same direction, so potential energy

Test: Electrostatics - 2 - Question 8

A conducting disk is of radius R is rotating with an angular velocity ω allowing the fact that electrons are the current carriers in conductor, the potential difference between the centre of the disc and edge is (mass and charge of electron is m and e and neglect gravity)

Detailed Solution for Test: Electrostatics - 2 - Question 8

Centripetal force on electron at distance from centre of disc.

Test: Electrostatics - 2 - Question 9

Three identical particles, each possessing the mass m and charge +q, are placed at the corners of an equilateral triangle with side r0. The particles are simultaneously set free and start flying apart symmetrically due to Coulomb's repulsion forces. The work performed by Coulomb's forces acting on each particle until the particles fly from one another to a very large distance is (where k = 1/4πε0.)

Detailed Solution for Test: Electrostatics - 2 - Question 9

Since the given system is closed, the increase in is equal to decrease in P.E.

v will be max when
The work performed by the interaction force
during the variation of the system's configuration is equal to the decrease in the potential energy
∴ Work done per particle

Test: Electrostatics - 2 - Question 10
A parallel plate capacitor having capacitance is charged by a battery to a potential difference of between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant is slipped between the plates. The work done by the capacitor on the slab is
Detailed Solution for Test: Electrostatics - 2 - Question 10
Initial Energy of the capacitor,


After the slab, the energy of the slab,


Therefore,




Test: Electrostatics - 2 - Question 11
A hollow metal sphere of radius is charged such that the potential on its surface is . The potential at a distance of from the centre of the sphere is
Detailed Solution for Test: Electrostatics - 2 - Question 11
Potential at any point inside the sphere potential at the surface of the sphere .
Test: Electrostatics - 2 - Question 12
A unit charge moves on an equipotential surface from a point to point , then
Detailed Solution for Test: Electrostatics - 2 - Question 12
Potential should be same i.e.
Test: Electrostatics - 2 - Question 13

In moving from to along an electric field line, the work done by the electric field on an electron is . If and are equipotential surfaces, then the potential difference is

Detailed Solution for Test: Electrostatics - 2 - Question 13


or
or
or
or

Test: Electrostatics - 2 - Question 14
Two concentric spheres of radii and have similar charges with equal surface charge densities . What is the electric potential at their common centre ?
Detailed Solution for Test: Electrostatics - 2 - Question 14
Charge on the outer sphere Charge on the inner sphere


Test: Electrostatics - 2 - Question 15

A plastic disc is charged on one side with a uniform surface charge density and then three quadrant of the disk are removed. The remaining quadrant is shown in figure, with at infinity, the potential due to the remaining quadrant at point is

Detailed Solution for Test: Electrostatics - 2 - Question 15

The potential at due to whole disc is
Now potential due to quarter disc,

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