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Electrostatics

JEE Physics · 160 questions. Try each one, then check the answer and solution.

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Q81. AI-generated practice Single-correct MCQ Easy
The electric potential at a distance of 9 cm from a point charge of 2 nC is (1/(4πε0) = 9 × 109 N m2 C-2):
Q82. AI-generated practice Single-correct MCQ Easy

The work done in moving a charge of 3 μC between two points having a potential difference of 50 V is:

Q83. AI-generated practice Single-correct MCQ Medium

Charges +q, +q, −q and −q are placed at the corners of a square, the two positive charges being at adjacent corners. At the centre of the square:

Q84. AI-generated practice Single-correct MCQ Medium

An electron is accelerated from rest through a potential difference of 100 V. The kinetic energy gained is:

Q85. AI-generated practice Single-correct MCQ Medium
Point charges of +2 μC and −3 μC are 30 cm apart. Take 1/(4πε0) = 9 × 109 N m2 C-2. The electrostatic potential energy of the system is:
Q86. AI-generated practice Single-correct MCQ Medium
The electric potential in a region varies as V = 4x2 volt, where x is in metres. The electric field at x = 2 m is:
Q87. AI-generated practice Single-correct MCQ Hard
The work done by an external agent in assembling three equal point charges q at the vertices of an equilateral triangle of side a, bringing them from infinity, is (k = 1/4πε0):
Q88. AI-generated practice Single-correct MCQ Medium
A ring of radius 3 cm carries a uniformly distributed charge of 5 nC. Take 1/(4πε0) = 9 × 109 N m2 C-2. The potential at a point on its axis 4 cm from the centre is:
Q89. AI-generated practice Single-correct MCQ Hard
An electron starts from rest and is accelerated through a potential difference of 182 V. Its final speed is (e = 1.6 × 10-19 C, me = 9.1 × 10-31 kg):
Q90. AI-generated practice Single-correct MCQ Easy

One electron-volt (1 eV) is equal to:

Q91. AI-generated practice Single-correct MCQ Medium
A uniform electric field of 500 V/m points along +x. Point A is at x = 0 and point B is at x = 0.2 m. The potential difference VA − VB is:
Q92. AI-generated practice Single-correct MCQ Hard

Charges of +5 μC and −2 μC are fixed at x = 0 and x = 0.3 m. On the x-axis, the electric potential is zero at:

Q93. AI-generated practice Single-correct MCQ Medium

A thin spherical shell of radius R carries charge Q. The potential at a point inside the shell at distance r from the centre (r smaller than R) is:

Q94. AI-generated practice Single-correct MCQ Hard

An α-particle (charge +2e) and a proton are each accelerated from rest through the same potential difference of 1 kV. The ratio of the kinetic energy of the α-particle to that of the proton is:

Q95. AI-generated practice Numerical value Easy
Find the potential (in units of 104 V) at a distance of 0.2 m from a point charge of 4 μC. Take 1/(4πε0) = 9 × 109 N m2 C-2.
Q96. AI-generated practice Numerical value Medium
Charges of +5 μC and +3 μC are fixed 0.2 m apart. Take 1/(4πε0) = 9 × 109 N m2 C-2. Find the work done (in units of 10-2 J) in bringing a charge of +1 μC from infinity to the midpoint between them.
Q97. AI-generated practice Numerical value Medium
The electric potential in a region is V = (2x2 + 6y) volt, with x and y in metres. Find the magnitude of the electric field (in V/m) at the point (2 m, 1 m).
Q98. AI-generated practice Numerical value Hard
Four point charges, each of 1 μC, are placed at the corners of a square of side 1 m. Take 1/(4πε0) = 9 × 109 N m2 C-2. Find the electrostatic potential energy of the system in millijoule, to the nearest integer.
Q99. AI-generated practice Assertion–Reason Medium
Assertion (A): The electric potential can be zero at a point where the electric field is not zero.
Reason (R): The electric field equals the negative gradient of the potential, not the potential itself.
Q100. AI-generated practice Assertion–Reason Hard
Assertion (A): The work done in moving a charge between two points in an electrostatic field is independent of the path followed.
Reason (R): The electrostatic force is a non-conservative force.