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This mock test of Electrostatics NAT Level - 2 for Physics helps you for every Physics entrance exam.
This contains 10 Multiple Choice Questions for Physics Electrostatics NAT Level - 2 (mcq) to study with solutions a complete question bank.
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*Answer can only contain numeric values

QUESTION: 1

Figure shows a solid hemisphere with a charge of 5*nC* distributed uniformly throughout its volume. The hemisphere lies on a plane and point *P* is located on the plane, along a radial line from the centre of curvature at distance 15*cm*. The electric potential at point *P* (in volts) due to the hemisphere, is___.

Solution:

By argument of symmetry, it will be half of the potential produced by the full sphere

∵ – Charge on hemisphere = *Q*, so charge on sphere = 2*Q
*

The correct answer is: 300

*Answer can only contain numeric values

QUESTION: 2

A simple pendulum with a bob of mass ** m = 1kg**, charge

(Take

Solution:

From work-energy theorem,

Substituting the values, we get

Further, at *C* tension in the string is zero

or v^{2} = 3.66 ......(ii)

From Eqs. (i) and (ii), we get

u = 6m/s

The correct answer is: 6

*Answer can only contain numeric values

QUESTION: 3

A position charge * +Q* is fixed at a point

Take

Solution:

The path of the particle will be as shown in the figure. At the point of minimum distance (D) the velocity of the particle will be to its position vector w.r.t +Q.

∵ Torque on *q* about *Q* is zero hence angular momentum about *Q* will be conserved

⇒ *mvr*_{min} = *mud *........(2)

by (2) in (1)

∵ distance cannot be negative

∴

The correct answer is: 1

*Answer can only contain numeric values

QUESTION: 4

The electric potential varies in space according to the relation ** V = 3x + 4y**. A particle of mass

Solution:

When particle crosses *x*-axis, *y* = 0

Initial *y*-coordinate was 3.2 *m* and

At this instant x-coordinate will be,

The correct answer is: 2

*Answer can only contain numeric values

QUESTION: 5

Consider a cube of side **a****= 0.1 m** placed such that its six faces are given by equations

Solution:

Flux through *ABCD*.

Flux through *BCGF
*

Flux through

The correct answer is: 11

*Answer can only contain numeric values

QUESTION: 6

A solid sphere of radius * R* has a cavity of radius

Solution:

Assume a solid sphere without cavity.

Potential at A due to this solid sphere

Electric field at *C* due to this solid sphere

Now consider the cavity filled with negative charge

Now net values for the solid sphere with the cavity can be given by superposition of the above two cases

The correct answer is: 12

*Answer can only contain numeric values

QUESTION: 7

A graph of the * x* component of the electric field as a function of

Solution:

The correct answer is: 30

*Answer can only contain numeric values

QUESTION: 8

A dipole of dipole moment is placed at point * A(2, -3, 1)*. The electric potential due to this dipole at the point

Solution:

The correct answer is: -2

*Answer can only contain numeric values

QUESTION: 9

A 4.00 *kg* block carrying a charge ** Q = 50.0μC** is connected to a spring for which

Solution:

By comparing this problem with spring-block system problem suspended vertically.

The correct answer is: 0.5

*Answer can only contain numeric values

QUESTION: 10

Three identical, conducting plane parallel plates, each of area * A* are held with equal separation

Solution:

The correct answer is: 3

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