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Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): In an uniform magnetic field, speed and energy remains the same for a moving charged particle.
Reason (R) : Moving charged particle experiences magnetic force perpendicular to its direction of motion.

Option: 1

Both \mathrm{\left ( A \right )} and \mathrm{\left ( R \right )} are true and \mathrm{\left ( R \right )} is the correct explanation of \mathrm{\left ( A \right )}.


Option: 2

Both \mathrm{(A)} and \mathrm{(R)} are true but \mathrm{(R)} is NOT the correct explanation of \mathrm{(A)}.


Option: 3

\mathrm{\left ( A \right )} is true but \mathrm{\left ( R \right )} is false.


Option: 4

\mathrm{\left ( A \right )} is false but \mathrm{\left ( R \right )} is true.


Answers (1)

best_answer

Force acting on moving charge in uniform magnetic field is,
\bar{F}= q\left ( \bar{V}\times \bar{B} \right )
As the force acting on charge is perpendicular to velocity direction, it will circular charge i.e, this for a provides nccessary centripetal force to charge so that it performs circular motion

\therefore \; \overline{V}\perp \overline{F}\; \left ( alway \right )

Work done on charge by magnetic force is zero, therefore,
\rightarrow  There is no change in K\cdot E.
\rightarrow No change in magnitude of momentum but the momentum changes.

The correct option is (1)
 

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