Under the influence of a uniform magnetic field. a charged particle is moving in a circle of radius R with constant speed v. The time period of the motion.

depends on v and not on R

depends on both R and v

is independent of both R and v

depends on R and not on v

Solution

is independent of both R and v

To move on circular path in a magnetic field, a centripetal force is a provided by the magnetic force.
when magnetic field is perpendicular to motion of charge particle, then
i,e,
$fraction numerator m v squared over denominator R end fraction space equals space B q v o r space R space equals fraction numerator m v over denominator B q end fraction F u r t h e r comma space t i m e space p e r i o d space o f space t h e space m o t i o n T space equals space fraction numerator 2 pi R over denominator v end fraction space equals space fraction numerator 2 pi open parentheses begin display style fraction numerator m v over denominator B q end fraction end style close parentheses over denominator v end fraction T space equals fraction numerator 2 pi m over denominator B q end fraction$
It is independent of bot R and v.

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Electric Charges And Fields

Under the influence of a uniform magnetic field. a charged particle is moving in a circle of radius R with constant speed v. The time period of the motion.

depends on v and not on R

depends on both R and v

is independent of both R and v

depends on R and not on v

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

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NCERT Sample Papers

Entrance Exams Preparation

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Electric Charges And Fields

Under the influence of a uniform magnetic field. a charged particle is moving in a circle of radius R with constant speed v. The time period of the motion. depends on v and not on R depends on both R and v is independent of both R and v depends on R and not on v

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?b) Explain why two field lines never cross each other at any point?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Under the influence of a uniform magnetic field. a charged particle is moving in a circle of radius R with constant speed v. The time period of the motion.

depends on v and not on R

depends on both R and v

is independent of both R and v

depends on R and not on v

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?