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Physics Question on Moving charges and magnetism

A proton (mass m) accelerated by a potential difference VV flies through a uniform transverse magnetic field BB. The field occupies a region of space by width dd. If α\alpha be the angle of deviation of proton from initial direction of motion (see figure), the value of sinα\sin \,\alpha will be :

A

B2qdmV\frac{B}{2}\sqrt{\frac{qd}{mV}}

B

Bdq2mV\frac{B}{d}\sqrt{\frac{q}{2mV}}

C

Bdq2mVBd\sqrt{\frac{q}{2mV}}

D

qVBd2mqV\sqrt{\frac{Bd}{2m}}

Answer

Bdq2mVBd\sqrt{\frac{q}{2mV}}

Explanation

Solution