JEE HYSICS UNIT 11
QUIZ NO 3
TOTAL QUESTIONS = 20
1. A metal cube of side 5 cm is charged with 6 μC. The surface charge density on the cube is
A. 2400 μC/m²
B. 3000 μC/m²
C. 3600 μC/m²
D. 4000 μC/m²
2. The value of electric potential at a distance of 9 cm from a point charge of 4 × 10⁻⁷ C is (Given 1/4πε₀ = 9 × 10⁹ N·m²/C²)
A. 4 × 10⁴ V
B. 3 × 10⁴ V
C. 2 × 10⁴ V
D. 1 × 10⁴ V
3. A thin spherical shell is charged by some source. The potential difference between two points C and P shown in the figure is (Take potential at infinity to be zero)
A. Zero
B. Non-zero
C. Depends on the amount of charge
D. Cannot be determined
4. According to Gauss's law of electrostatics, electric flux through a closed surface depends on
A. The net charge enclosed within the surface
B. The shape of the surface
C. The size of the surface
D. The distribution of charges outside the surface
5. A charge Q μC is placed at the center of a cube. The flux coming out from any one of its faces will be (in SI unit)
A. Q/6ε₀
B. Q/ε₀
C. Q/2ε₀
D. Q/8ε₀
6. If a conducting sphere of radius R is charged, then the electric field at a distance r (r > R) from the center is proportional to
A. 1/r²
B. 1/r
C. r
D. r²
7. A capacitor is charged to store an energy U. The charging battery is disconnected. An identical capacitor is now connected to the first capacitor in parallel. The energy in each of the capacitors is
A. U/4
B. U/2
C. U
D. 2U
8. In a parallel plate capacitor, the distance between the plates is d and potential difference across the plates is V. Energy stored per unit volume between the plates of capacitor is
A. ε₀V²/2d²
B. ε₀V²/d²
C. ε₀V²/2d
D. ε₀V²/d
9. The capacity of a parallel plate condenser is 10 μF when the distance between its plates is 8 cm. If the distance between the plates is reduced to 4 cm, then the capacity of this parallel plate condenser will be
A. 5 μF
B. 10 μF
C. 20 μF
D. 40 μF
10. Energy stored in a capacitor is
A. (1/2)CV²
B. CV²
C. (1/2)QV
D. QV
11. A capacitor C₁ is charged to a potential difference V. The charging battery is then removed and the capacitor is connected to an uncharged capacitor C₂. The potential difference across the combination is
A. V(C₁ + C₂)/C₁
B. V(C₁ - C₂)/C₁
C. V(C₁ + C₂)/C₂
D. V(C₁ - C₂)/C₂
12. A solid spherical conductor is given a charge. The electrostatic potential of the conductor is
A. Constant throughout the conductor
B. Largest at the center
C. Largest on the surface
D. Largest somewhere between the center and the surface
13. Each corner of a cube of side l has a negative charge, –q. The electrostatic potential energy of a charge q at the center of the cube is
A. -8q²/(4πε₀l)
B. -4q²/(4πε₀l)
C. -2q²/(4πε₀l)
D. -q²/(4πε₀l)
14. Three capacitors each of capacity 4 μF are to be connected in such a way that the effective capacitance is 6 μF. This can be done by
A. Connecting two in series and one in parallel
B. Connecting all three in series
C. Connecting all three in parallel
D. Connecting two in parallel and one in series
15. An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, the force on it and its potential energy are respectively
A. Zero and minimum
B. qE and maximum
C. qE and pE
D. Zero and maximum
16. A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V between its plates. The charging battery is now disconnected, and a porcelain slab of dielectric constant 6.5 is slipped between the plates. The potential difference between the plates now is
A. 1.54 V
B. 10 V
C. 0.77 V
D. 5 V
17. A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at the center of the sphere is
A. Zero
B. 10 V
C. Same as at a point 5 cm away from the surface
D. Same as at a point 25 cm away from the surface
18. Two point charges Q and -Q are placed at points (a, 0, 0) and (-a, 0, 0) respectively. The electric potential at the origin is
A. Zero
B. kQ/a
C. -kQ/a
D. 2kQ/a
19. The electric field inside a conductor is
A. Always zero
B. Always non-zero
C. Zero only in electrostatic equilibrium
D. Depends on the shape of the conductor
20. The capacitance of a parallel plate capacitor does not depend on
A. Area of the plates
B. Distance between the plates
C. Dielectric constant of the material between the plates
D. Charges on the plates
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