A charged particle in a uniform magnetic field $B=B_0 \hat{k}$ starts moving from the origin with velocity $v=3 \hat{i}+4 \hat{k}$ m/s. The trajectory of the particle and the time $t$ at which it reaches $2 \mathrm{~m}$ above $x-y$ plane are,

Question

A charged particle in a uniform magnetic field $B=B_0 \hat{k}$ starts moving from the origin with velocity $v=3 \hat{i}+4 \hat{k}$ m/s. The trajectory of the particle and the time $t$ at which it reaches $2 \mathrm{~m}$ above $x-y$ plane are,, Circular path, $\frac{1}{2}$ sec., Helical path, $\frac{1}{2}$ sec., Circular path, $\frac{2}{3}$ sec., Helical path, $\frac{2}{3}$ sec.

MARKS App · Accepted Answer

Hint : Velocity along z-direction will be const. $\mathrm{t}=\frac{\mathrm{s}}{V_z}=\frac{2}{4}=\frac{1}{2} \mathrm{sec}$ Path will be helical.

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