A rectangular coil of 100 turns and size 0.1 m x 0.05 m is placed perpendicular to a magnetic field of 0.1 T. If the field drops to 0.05 T in 0.05 s, the magnitude of the e.m.f. imuuced in the coil is

• $\sqrt{2}$ V

• $\sqrt{3}$ V

• 0.5 V

• $\sqrt{6}$ V

A charged particle experiences magnetic force in the presence of magnetic field. Which of the following statement is correct ?

• The particle is moving and magnetic field is perpendicular to the velocity

• The particle is moving and magnetic field is parallel to the velocity

• The particle is stationary and magnetic field is perpendicular

• The particle is stationary and magnetic field is parallel

If a velocity has both perpendicular and parallel components while moving through a magnetic field, what is the path followed by a charged particle ?

• Circular

• Elliptical

• Linear

• Helical

A solenoid has length 0.4 cm, radius 1 cm and 400 turns of wire. If a current of 5 A is passed through this solenoid, what is the magnetic field inside the solenoid ?

• 6.28 × 10^-4 T

• 6.28 × 10^-3 T

• 6.28 × 10^-7 T

• 6.28 × 10^-6 T

A gyromagnetic ratio of the electron revolving in a circular orbit of hydrogen atom is 8.8 × 10¹⁰ C kg^-1. What is the mass of the electron ? Given, charge of the electron = 1.6 x 10^-19 C.

• 1 x 10^-29 kg

• 0.1 x 10^-29 kg

• 1.1 x 10^-29 kg

• 1/11 x 10^-29 kg

What is the value of shunt resistance required to convert a galvanometer of resistance 100 Ω into an ammeter of range 1 A ?

Given, full scale deflection of the galvanometer is 5 mA.

• $\frac{5}{9.95} \mathrm{\Omega }$

• $\frac{9.95}{5} \mathrm{\Omega }$

• 0.5 Ω

• 0.05 Ω

A circular coil of radius 10 cm and 100 turns carries a current 1 A. What is the magnetic moment of the coil ?

• 3.142 × 10⁴ Am²

• 10⁴ Am²

• 3.142 Am²

• 3 Am²

A solenoid of inductance 2 H carries a current 1 A. What is the magnetic energy stored in a solenoid ?

• 2 J

• 1 J

• 4 J

• 5 J

A plane electromagnetic wave of frequency 20 MHz travels through a space along x-direction. If the electric field vector at a certain point in space is 6 Vm^-1, what is the magnetic field vector at that point ?

• 2 × 10^-3 T

• 2 × 10^-8 T

• 2 T

• $\frac{1}{2} \mathrm{T}$

A proton beam enters a magnetic field of 10^-4 Wb m^-2 normally. If the specific charge of the proton is 10¹¹ C kg^-1 and its velocity is 10⁹ ms^-1, then the radius of the circle described will be

• 100 m

• 0.1 m

• 1 m

• 10 m