Physics Crash Course JEE Advanced>Chapter 13 - Electrostatics>Exercise 1>Q 62

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IMPORTANT

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A particle of mass $2 k g$ and charge $1 m C$ is projected vertically with a velocity $10 m s^{- 1} .$ There is a uniform horizontal electric field of $10^{4} N C^{- 1} .$ Then

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Important Questions on Electrostatics

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Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 13 - Electrostatics>Exercise 1>Q 63

Two small balls $A$ and $B$ of positive charge $Q$ each and masses $m$ and $2 m$ , respectively, are connected by a non-conducting light rod of length $L$ . This system is released in a uniform electric field of strength $E$ as shown. Just after the release (assume no other force acts on the system)
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Physics Crash Course JEE Advanced>Chapter 13 - Electrostatics>Exercise 1>Q 64

Which of the following quantites depends on the choice of zero potential or zero potential energy ?

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Physics Crash Course JEE Advanced>Chapter 13 - Electrostatics>Exercise 1>Q 65

At a distance of

5 cm

and

10 cm

outwards from the surface of a uniformly charged solid sphere, the potentials are

100 V

and

75 V

, respectively. Then,

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Physics Crash Course JEE Advanced>Chapter 13 - Electrostatics>Exercise 1>Q 66

The electric potential decreases uniformly from

180 V

to

20 V

as one moves on the

x

-axis from

x = - 2 cm

to

x = + 2 cm

. The electric field at the origin,

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Physics Crash Course JEE Advanced>Chapter 13 - Electrostatics>Exercise 1>Q 67

A uniformly charged solid sphere of radius

R

has potential

V_{0}

(measured with respect to

\infty

) on its surface. For this sphere the equipotential surfaces with potentials

\frac{3 V_{0}}{2}, \frac{5 V_{0}}{4}, \frac{3 V_{0}}{4} and \frac{V_{0}}{4}

have radius

R_{1}, R_{2}, R_{3}

and

R_{4}

, respectively. Then

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Physics Crash Course JEE Advanced>Chapter 13 - Electrostatics>Exercise 1>Q 68

Two positive charges

Q

and

4 Q

are placed at points

A

and

B

respectively, where

B

is at a distance

d

units to the right of

A

. The total electric potential due to these charges is minimum at

P

on the line through

A

and

B

. What is (are) the distance (s) of

P

from

A

?

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Physics Crash Course JEE Advanced>Chapter 13 - Electrostatics>Exercise 1>Q 69

A point charge $q$ is placed within the cavity of an electrically neutral conducting shell whose outer surface has spherical shape figure. Then,

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Physics Crash Course JEE Advanced>Chapter 13 - Electrostatics>Exercise 1>Q 70

The electric potential in a region along the

x

-axis varies with

x

according to the relation

V (x) = 4 + 5 x^{2}

. Then