Question

A charged particle is projected in a magnetic field $\overrightarrow{B}=10\hat{k}T$ from the origin in x - y plane. The particle moves in a
circle and just touches a straight line y = 5(m) at $x=5\sqrt{3}$ (m). Then (mass of particle = $5\times {10}^{5}kg$ , charge = $1\mu C$)

• A. The particle is projected at an angle ${60}^{\circ }$ with x-axis
• B. The radius of curvature at $(5\sqrt{3},5)$ is 10 m
• C. The speed of the particle is 2 m/s
• D. The particle moves in a helical path

Answer 1

Answer: (A), (C)

The correct options are
A The particle is projected at an angle ${60}^{\circ }$ with x-axis
C The speed of the particle is 2 m/s

$r=\frac{mvsin\theta }{qB}=5\times {10}^{-5}$
$x=5\sqrt{3}$
$y=xtan({180}^{\circ }-\theta )$