A uniform electric field of 200 N/C passes through a flat area of 0.1 m² whose normal makes an angle of 60° with the field. The flux through the area is:

A10 N m²/C
B5 N m²/C
C17.3 N m²/C
D20 N m²/C

Q63. AI-generated practice Single-correct MCQ Medium

A point charge q is placed at the centre of a cube. The electric flux through any one face of the cube is:

Aq/(24ε₀)
Bq/(8ε₀)
Cq/ε₀
Dq/(6ε₀)

Q64. AI-generated practice Single-correct MCQ Medium

A point charge q is placed exactly at one corner of a cube. The total electric flux through the cube is:

Aq/ε₀
Bq/(8ε₀)
Cq/(6ε₀)
Dq/(24ε₀)

Q65. AI-generated practice Single-correct MCQ Medium

The total electric flux through a closed surface depends on:

A
the position of the enclosed charges inside the surface
B
the charges both inside and outside the surface
C
only the net charge enclosed by the surface
D
the shape and size of the surface

Q66. AI-generated practice Single-correct MCQ Medium

A very long straight wire carries a uniform charge density of 4 μC/m. Take 1/(4πε₀) = 9 × 10⁹ N m² C^-2. The electric field at a perpendicular distance of 2 m is:

A3.6 × 10⁴ N/C
B7.2 × 10⁴ N/C
C9 × 10³ N/C
D1.8 × 10⁴ N/C

Q67. AI-generated practice Single-correct MCQ Hard

A non-conducting solid sphere of radius R has charge uniformly distributed through its volume. If the field at its surface is E_s, the field at a distance R/2 from the centre is:

A
zero
BE_s/4
C2E_s
DE_s/2

Q68. AI-generated practice Single-correct MCQ Medium

A thin spherical shell of radius R carries charge Q uniformly. Which statement about its electric field is correct?

AIt is kQ/R² everywhere inside
B
It is zero both inside and outside
CIt increases linearly inside and is kQ/r² outside
DIt is zero inside and kQ/r² outside

Q69. AI-generated practice Single-correct MCQ Hard

A conducting sphere of radius 10 cm has a uniform surface charge density of 8.85 × 10^-7 C/m². Take ε₀ = 8.85 × 10^-12 C² N^-1 m^-2. The field just outside its surface is:

A1 × 10⁵ N/C
B5 × 10⁴ N/C
C1 × 10⁴ N/C
D2 × 10⁵ N/C

Q70. AI-generated practice Single-correct MCQ Medium

A uniform electric field E = 300 î N/C exists in a region. The net electric flux through a closed cube of side 10 cm placed in this region is:

A6 N m²/C
B3 N m²/C
C
zero
D18 N m²/C

Q71. AI-generated practice Single-correct MCQ Medium

A hemispherical bowl of radius R is placed in a uniform field E parallel to its axis of symmetry. The flux through its curved surface is:

A2πR²E
B4πR²E
CπR²E
D
zero

Q72. AI-generated practice Single-correct MCQ Easy

The SI unit of electric flux is:

A
N m/C
BN m²/C
CC/m²
D
N/C

Q73. AI-generated practice Single-correct MCQ Hard

An electric field E = (5x) î N/C (x in metres) exists in a region. A cube of side 0.2 m has one face in the plane x = 0 and edges along the axes, in the region x ≥ 0. Take ε₀ = 8.85 × 10^-12 C² N^-1 m^-2. The charge enclosed by the cube is about:

A7.1 × 10^-13 C
B3.5 × 10^-13 C
C3.5 × 10^-12 C
D1.8 × 10^-13 C

Q74. AI-generated practice Single-correct MCQ Medium

Gauss's law of electrostatics is valid for:

A
only symmetric charge distributions
B
only spherical surfaces
C
any closed surface, whatever the charge distribution
D
only surfaces that enclose no charge

Q75. AI-generated practice Numerical value Easy

A closed surface encloses charges of 3 μC, −1 μC and 6 μC. Take ε₀ = 8.85 × 10^-12 C² N^-1 m^-2. If the net flux through the surface is x × 10⁵ N m²/C, find x to the nearest integer.

Q76. AI-generated practice Numerical value Medium

A large thin non-conducting sheet has a uniform surface charge density of 1.77 × 10^-6 C/m². Take ε₀ = 8.85 × 10^-12 C² N^-1 m^-2. If the field near it is x × 10⁴ N/C, find x.

Q77. AI-generated practice Numerical value Medium

A non-conducting solid sphere of radius 10 cm carries a charge of 5 μC uniformly distributed in its volume. Take 1/(4πε₀) = 9 × 10⁹ N m² C^-2. If the electric field at 4 cm from its centre is x × 10⁵ N/C, find x.

Q78. AI-generated practice Numerical value Hard

A point charge of 53.1 μC is placed at the centre of a cube. Take ε₀ = 8.85 × 10^-12 C² N^-1 m^-2. If the electric flux through each face of the cube is x × 10⁵ N m²/C, find x.

Q79. AI-generated practice Assertion–Reason Medium

Assertion (A): The net electric flux through a closed surface is zero if it encloses no charge, even when charges are present outside it.
Reason (R): Every field line from an outside charge that enters the closed surface also leaves it.

A
Both A and R are true and R is the correct explanation of A
B
Both A and R are true but R is not the correct explanation of A
C
A is true but R is false
D
A is false but R is true

Q80. AI-generated practice Assertion–Reason Hard

Assertion (A): The electric field inside a uniformly charged thin spherical shell is zero.
Reason (R): Gauss's law is valid only for spherical surfaces.

A
Both A and R are true and R is the correct explanation of A
B
Both A and R are true but R is not the correct explanation of A
C
A is true but R is false
D
A is false but R is true