Ampere's Circuital Law & Motion of charged particle -1

In a current carrying long solenoid the field produced does not depends on:

• number of turns per unit length

• current in solenoid

• radius of cross section of the solenoid

• all of the above

If length and number of turns becomes half for a solenoid then value of magnetic field becomes:

• twice

• same

• half

• one fourth

If number of turns and current becomes double for any solenoid, then value of magnetic field becomes:

• twice

• same

• half

• four times

A current of 1/4.pi Ampere is flowing through a toroid. It has 1000 number of turn per meter then value of magnetic field along its axis is :

• 10^-2

• 10^-3

• 10^-4

• 10^-7

when alpha and Beta rays are subjected to a magnetic field which is perpendicular to the direction of their motion with same speed. The curvature of path of both the particles are:

• equal

• more for alpha particles

• more for Beta particles

• none

An electron is travelling along the x- direction and magnetic field in the y- direction. Its motion will be:

• straight line along the x- direction

• a circle in the xz-plane

• a circle in the yz- plane

• a circle in the xy- plane

A proton, deutron and alpha particle are accelerated by same potential, enters in uniform magnetic field perpendicularly. Ratio of radii of circular path respectivelly:

• 1:√2:√2

• 2:2:1

• 1:2:1

• 1:1:1

An electron moves with velocity v in normal & uniform magnetic field on circular path of radius r, then value e/m for it is:

• v/Br

• B/rv

• Bvr

• vr/B

If a charged particle is describing a circle of radius r in a magnetic field with a time period T, then T² directly propotional to:

• r³

• r

• r²

• r⁰

A charged particle moving in a uniform magnetic field penetrates a layer of lead and thereby loses one half of its kinetic energy. How does the radius of curvature of its path changes?

• radius decreases to r√2

• radius decreases to r/√2

• radius remains the same

• radius becomes r√2