JEE PHYSICS UNIT 13
QUIZ NO 3
TOTAL QUESTIONS = 20
1. A long solenoid of length 50 cm has 1000 turns and carries a current of 5 A. The magnetic field at the center of the solenoid is
A. 6.28 × 10⁻³ T
B. 1.26 × 10⁻² T
C. 3.14 × 10⁻² T
D. 5.00 × 10⁻² T
2. An electron moving with a velocity of 10⁶ m/s enters a magnetic field of 0.01 T at an angle of 30° with the field. The radius of its helical path is
A. 5.7 mm
B. 2.8 mm
C. 1.4 mm
D. 0.7 mm
3. A circular loop of radius 0.1 m carries a current of 1 A. The magnetic field at the center of the loop is
A. 2π × 10⁻⁷ T
B. π × 10⁻⁷ T
C. 2 × 10⁻⁶ T
D. π × 10⁻⁶ T
4. A proton enters a magnetic field of 1 T with a velocity of 10⁵ m/s perpendicular to the field. The frequency of revolution of the proton is
A. 1.5 MHz
B. 15.2 MHz
C. 9.58 MHz
D. 0.96 MHz
5. A current of 10 A flows through a straight conductor of length 0.5 m placed in a uniform magnetic field of 2 T. The conductor makes an angle of 60° with the magnetic field. The force on the conductor is
A. 5 N
B. 10 N
C. 8.66 N
D. 4.33 N
6. A charged particle moves in a circular path of radius 0.1 m in a magnetic field of 0.5 T. If the particle has a charge of 1.6 × 10⁻¹⁹ C and mass 1.6 × 10⁻²⁷ kg, the time period of revolution is
A. 1 μs
B. 0.1 μs
C. 0.01 μs
D. 10 μs
7. A rectangular loop of dimensions 0.2 m × 0.1 m carries a current of 2 A. It is placed in a uniform magnetic field of 0.5 T, making an angle of 30° with the field. The torque on the loop is
A. 0.01 Nm
B. 0.02 Nm
C. 0.05 Nm
D. 0.1 Nm
8. A particle with charge q and mass m moves with velocity v in a magnetic field B perpendicular to its velocity. The angular frequency of the particle is
A. qB/m
B. qBv/m
C. qvB/m
D. qB/mv
9. A long straight wire carries a current of 5 A. The magnetic field at a distance of 0.1 m from the wire is
A. 1 × 10⁻⁵ T
B. 2 × 10⁻⁵ T
C. 5 × 10⁻⁵ T
D. 10 × 10⁻⁵ T
10. A proton and an alpha particle enter a magnetic field perpendicularly with the same kinetic energy. The ratio of the radii of their circular paths is
A. 1:1
B. 1:2
C. 2:1
D. 1:√2
11. A coil of 100 turns and area 0.01 m² is placed in a magnetic field of 0.1 T. The plane of the coil makes an angle of 60° with the magnetic field. The magnetic flux through the coil is
A. 0.05 Wb
B. 0.1 Wb
C. 0.0866 Wb
D. 0.0433 Wb
12. A charged particle enters a uniform magnetic field with its velocity parallel to the field. The path of the particle will be
A. Circular
B. Helical
C. Straight line
D. Elliptical
13. A current-carrying conductor is placed in a magnetic field. The maximum force is experienced when the angle between the conductor and the magnetic field is
A. 0°
B. 45°
C. 90°
D. 180°
14. A magnetic dipole is placed in a uniform magnetic field. The potential energy is minimum when the angle between the dipole moment and the magnetic field is
A. 0°
B. 45°
C. 90°
D. 180°
15. A circular coil of 50 turns and radius 0.1 m carries a current of 2 A. The magnetic moment of the coil is
A. π A·m²
B. 2π A·m²
C. 5π A·m²
D. 10π A·m²
16. A proton moving with a velocity of 10⁶ m/s enters a magnetic field of 0.1 T at an angle of 90°. The force acting on the proton is
A. 1.6 × 10⁻¹³ N
B. 1.6 × 10⁻¹⁴ N
C. 1.6 × 10⁻¹² N
D. 1.6 × 10⁻¹¹ N
17. A solenoid of length 0.5 m has 1000 turns and carries a current of 2 A. The magnetic field inside the solenoid is
A. 5.02 × 10⁻³ T
B. 5.02 × 10⁻² T
C. 1.26 × 10⁻² T
D. 1.26 × 10⁻³ T
18. A charged particle moves in a circular path of radius 0.2 m in a magnetic field of 0.2 T. If the particle has a charge of 1.6 × 10⁻¹⁹ C and mass 3.2 × 10⁻²⁷ kg, the frequency of revolution is
A. 1.25 MHz
B. 2.5 MHz
C. 5 MHz
D. 10 MHz
19. A rectangular loop of dimensions 0.3 m × 0.2 m carries a current of 3 A. It is placed in a uniform magnetic field of 0.4 T, making an angle of 45° with the field. The torque on the loop is
A. 0.072 Nm
B. 0.12 Nm
C. 0.144 Nm
D. 0.216 Nm
20. An electron enters a magnetic field of 0.01 T with a velocity of 10⁵ m/s perpendicular to the field. The radius of its circular path is
A. 5.7 mm
B. 2.8 mm
C. 1.4 mm
D. 0.7 mm
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