EASY
JEE Main/Advance
IMPORTANT
Earn 100

An experimenter’s diary reads as follows, a charged particle is projected in a magnetic field of 7.0i^3.0j^×103 T. The acceleration of the particle is found to be xi^+7.0j^×106 m s-2. Find the value of x.

Important Questions on Magnetic Effect of Current

EASY
JEE Main/Advance
IMPORTANT

A particle of mass m and positive charge q, moving with a uniform velocity v, enters a magnetic field B as shown in the figure. a Find the radius of the circular arc it describes in the magnetic field. b Find the angle subtended by the arc at the centre. c How long does the particle stay inside the magnetic field? d Solve the three parts of the above problem if the charge q on the particle is negative.

Question Image 

MEDIUM
JEE Main/Advance
IMPORTANT

A particle of mass m and charge q is projected into a region having a perpendicular magnetic field B. Find the angle of deviation (figure) of the particle as it comes out of the magnetic field if the width d of the region is very slightly smaller than

Question Image

a mvqB b mv2qB and c 3mvqB

MEDIUM
JEE Main/Advance
IMPORTANT

The figure shows a convex lens of focal length 10 cm lying in a uniform magnetic field B of magnitude 1.2 T parallel to its principal axis. A particle having a charge 2.0×103 C and mass 2.0×105 kg is projected perpendicular to the plane of the diagram with a speed of 4.8 m s-1. The particle moves along a circle with its centre on the principal axis at a distance of 15 cm from the lens. The axis of the lens and of the circle are the same. Show that the image of the particle goes along a circle and find the radius of that circle.

Question Image

EASY
JEE Main/Advance
IMPORTANT
A uniform magnetic field of magnitude 0.20 T exists in space from east to west. A particle having mass 105 kg and charge 105 C is projected from south to north so that it moves with a uniform velocity. Find the velocity of projection of the particle? g=10 m s-2
EASY
JEE Main/Advance
IMPORTANT
A tightly-wound, long solenoid has n turns per unit length, a radius r and carries a current i. A particle having charge q and mass m is projected from a point on the axis in a direction perpendicular to the axis. What can be the maximum speed for which the particle does not strike the solenoid?
HARD
JEE Main/Advance
IMPORTANT
A particle having a charge of 5.0 μC and mass of 5.0×10-12 kg is projected with a speed of 1.0 km s-1 in a magnetic field of magnitude 5.0 mT. The angle between magnetic field and velocity is sin-10.90. Show that the path of the particle will be a helix. Find the diameter and pitch of the helix.
HARD
JEE Main/Advance
IMPORTANT
A proton projected in a magnetic field of 0.04 T travels along a helical path of radius 5.0 cm (of projected circle) and pitch 20 cm. Find the components of the velocity of the proton along and perpendicular to the magnetic field. Take the mass of the proton = 1.6 × 1027 kg.
HARD
JEE Main/Advance
IMPORTANT

An electron gun G emits electron of energy 2 keV travelling in the positive x-direction. The electrons are required to hit the spot S where GS=0.1 m and the line GS makes an angle of 60° with the x-axis, as shown in the figure. A uniform magnetic field B parallel to GS exists in the region outside of electron gun. Find the minimum value of B needed to make the electron hit S. [Take mass of electron = 9 × 1031 kg]

Question Image