Q. An electron is accelerated by a potential difference of $12000\ volts$. It then enters a uniform magnetic field of $10^{- 3}T$ applied perpendicular to the path of electron. Find the radius of path. Given mass of electron $= 9 \times 10^{- 31}kg$ and charge on electron $= 1.6 \times 10^{- 19}C$

A) 36.7 $m$
B) 36.7 $cm$
C) 3.67 $m$
D) 3.67 $cm$
Explanation

(b) $r = \frac{\sqrt{2mK}}{qB} = \frac{1}{B}\sqrt{\frac{2mV}{q}}$
$= \frac{1}{10^{- 3}}\sqrt{\frac{2 \times 9 \times 10^{- 31} \times 12000}{1.6 \times 10^{- 19}}} = 0.367\ m = 36.7\ cm$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.