DPP –4: ELECTROSTATIC
(GAUSS LAW )
1. A cube of side l is placed in a uniform field 4. If the electric flux entering and leaving an
E, where E = Eî. The net electric flux enclosed surface respectively is 𝜑1 and 𝜑2,
through the cube is the electric charge inside the surface will
a. Zero be:
b. 𝜄2E a. (𝜑1 + 𝜑2)𝜀ₒ
c. 4 𝜄2E b. (𝜑2 - 𝜑1)𝜀ₒ
d. 6 𝜄2E c. (𝜑1 + 𝜑2)/𝜀ₒ
d. (𝜑1 - 𝜑2)/𝜀ₒ
2. According to gauss’ Theorem, electric field
of an infinitely long straight wire is 5. Consider the charge configuration and
proportional to spherical Gaussian surface as shown in the
a. R figure. While calculating the flux of the
1
b. electric field over the spherical surface, the
𝑟2
1 electric field will be due to:
c. 𝑟3
1
d. 𝑟
3. Electric charge is uniformly distributed
along a long straight wire of radius 1mm.
a. q2 only
the charge per cm length of the wire is Q
b. only the positive charges
coulomb. Another cylindrical surface of
c. all the charges
radius 50 cm and length 1 m symmetrically
d. +q1 and -q1 only
encloses the wire as shown in the figure.
The total electric flux passing through the
6. An electric dipole is put in north-south
cylindrical surface is
direction in a sphere filled with water.
Which statement is correct?
a. Electric flux is coming towards sphere
b. Electric flux is coming out of sphere
c. Electric flux entering into sphere and
leaving the sphere are same
d. Water does not permit electric flux to
enter into sphere
𝑄
a. 𝜀ₒ
100𝑄 7. The electric flux for gaussian surface A that
b. 𝜀ₒ encloses the charged particle in free space
10𝑄
c. is (given q1 = -14nC, q1 = 78.85 nC, q3 = -56
(𝜋𝜀ₒ)
100𝑄 nC )
d. (𝜋𝜀ₒ)
, a. 103 Nm2 C-1
b. 103 CN-1 m-1 a. EL2
c. 6.32 × 103 Nm2 C-1 b. EL2cos 𝜃
d. 6.32 × 103 CN-1 m-1 c. EL2 sin 𝜃
d. 0
8. The electric field inside a spherical shell of
uniform surface charge density is-
12. A hollow cylinder has a charge q coulomb
a. Zero
within it(at the geometrical centre). If is
b. Constant, less than zero
the electric flux in unit of volt-meter
c. Directly proportional to the distance from
associated with the curved surface B, the
the centre
flux linked with the plane surface A in unit
d. None of the above
of Volt-meter will be:
9. The electric field in a certain region is
acting radially outward and is given by E =
Ar. A charge contained in a sphere of
radius ‘a’ centered at the origin of the field
will be given by
a. 4𝜋∈ ₒAa2
b. 𝜋∈ ₒAa2
c. 4𝜋∈ ₒAa3
d. ∈ ₒAa2 13. A square surface of side L m is in the plane
of the paper. A uniform electic field 𝐸⃗
10. What is the flux through a cube of side ‘a’ if (V/m), also in the plane of the paper, is
a point charge q is at one of its corners? limited only to the lower half of the square
2𝑞
a. surface, (see figure). the electric flux in SI
𝜀ₒ
𝑞 units associated with the surface is:
b. 8𝜀ₒ
𝑞
c. 𝜀ₒ
𝑞
d. 6a2
2𝜀ₒ
11. A surface of side L meter in the plane
of the paper is placed in a uniform electric a. EL2/(2 𝜀ₒ)
field E(volt/m) acting along the same plane b. EL2/2
at an angle 𝜃 with the horizontal side of c. Zero
the square as shown in figure. the electric d. EL2
flux linked to the surface in unit of V-m, is
14. An isolated sphere of radius R contains a
uniform volume distribution of positive
(GAUSS LAW )
1. A cube of side l is placed in a uniform field 4. If the electric flux entering and leaving an
E, where E = Eî. The net electric flux enclosed surface respectively is 𝜑1 and 𝜑2,
through the cube is the electric charge inside the surface will
a. Zero be:
b. 𝜄2E a. (𝜑1 + 𝜑2)𝜀ₒ
c. 4 𝜄2E b. (𝜑2 - 𝜑1)𝜀ₒ
d. 6 𝜄2E c. (𝜑1 + 𝜑2)/𝜀ₒ
d. (𝜑1 - 𝜑2)/𝜀ₒ
2. According to gauss’ Theorem, electric field
of an infinitely long straight wire is 5. Consider the charge configuration and
proportional to spherical Gaussian surface as shown in the
a. R figure. While calculating the flux of the
1
b. electric field over the spherical surface, the
𝑟2
1 electric field will be due to:
c. 𝑟3
1
d. 𝑟
3. Electric charge is uniformly distributed
along a long straight wire of radius 1mm.
a. q2 only
the charge per cm length of the wire is Q
b. only the positive charges
coulomb. Another cylindrical surface of
c. all the charges
radius 50 cm and length 1 m symmetrically
d. +q1 and -q1 only
encloses the wire as shown in the figure.
The total electric flux passing through the
6. An electric dipole is put in north-south
cylindrical surface is
direction in a sphere filled with water.
Which statement is correct?
a. Electric flux is coming towards sphere
b. Electric flux is coming out of sphere
c. Electric flux entering into sphere and
leaving the sphere are same
d. Water does not permit electric flux to
enter into sphere
𝑄
a. 𝜀ₒ
100𝑄 7. The electric flux for gaussian surface A that
b. 𝜀ₒ encloses the charged particle in free space
10𝑄
c. is (given q1 = -14nC, q1 = 78.85 nC, q3 = -56
(𝜋𝜀ₒ)
100𝑄 nC )
d. (𝜋𝜀ₒ)
, a. 103 Nm2 C-1
b. 103 CN-1 m-1 a. EL2
c. 6.32 × 103 Nm2 C-1 b. EL2cos 𝜃
d. 6.32 × 103 CN-1 m-1 c. EL2 sin 𝜃
d. 0
8. The electric field inside a spherical shell of
uniform surface charge density is-
12. A hollow cylinder has a charge q coulomb
a. Zero
within it(at the geometrical centre). If is
b. Constant, less than zero
the electric flux in unit of volt-meter
c. Directly proportional to the distance from
associated with the curved surface B, the
the centre
flux linked with the plane surface A in unit
d. None of the above
of Volt-meter will be:
9. The electric field in a certain region is
acting radially outward and is given by E =
Ar. A charge contained in a sphere of
radius ‘a’ centered at the origin of the field
will be given by
a. 4𝜋∈ ₒAa2
b. 𝜋∈ ₒAa2
c. 4𝜋∈ ₒAa3
d. ∈ ₒAa2 13. A square surface of side L m is in the plane
of the paper. A uniform electic field 𝐸⃗
10. What is the flux through a cube of side ‘a’ if (V/m), also in the plane of the paper, is
a point charge q is at one of its corners? limited only to the lower half of the square
2𝑞
a. surface, (see figure). the electric flux in SI
𝜀ₒ
𝑞 units associated with the surface is:
b. 8𝜀ₒ
𝑞
c. 𝜀ₒ
𝑞
d. 6a2
2𝜀ₒ
11. A surface of side L meter in the plane
of the paper is placed in a uniform electric a. EL2/(2 𝜀ₒ)
field E(volt/m) acting along the same plane b. EL2/2
at an angle 𝜃 with the horizontal side of c. Zero
the square as shown in figure. the electric d. EL2
flux linked to the surface in unit of V-m, is
14. An isolated sphere of radius R contains a
uniform volume distribution of positive
