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  • A positively charged particle having charge 1 C and mass 40 g is revolving along a circle of radius 40 cm with speed 5 m/s in a uniform magnetic field with centre of circle at origin. At time t = 0

A positively charged particle having charge 1 C and mass 40 g is revolving along a circle of radius 40 cm with speed 5 m/s in a uniform magnetic field with centre of circle at origin. At time t = 0, the particle is at (0, 0.4m, 0) and velocity is directed along positive xdirection. Another particle having same charge and mass 10 g moving uniformly parallel to z-direction with velocity 40 m/s collides with revolving particle at t = 0 and gets stuck to it. Neglecting gravitational force and coulomb force, at  \mathrm{t=\pi / 40} sec. co-ordinates of combined system is

Option: 1

(0.2,0.2,0.628)


Option: 2

(0.4,0.4,0.628)


Option: 3

(0.6,0.6,0.628)


Option: 4

none of these


Answers (1)

best_answer

\mathrm{5 \mathrm{~m} / \mathrm{s} \rightarrow 40 \mathrm{~g}~ to ~50 \mathrm{~g} \rightarrow 4 \mathrm{~m} / \mathrm{s} }

\mathrm{40 \mathrm{~m} / \mathrm{s} \rightarrow 10 \mathrm{~g}~ to ~50 \mathrm{~g} \rightarrow 8 \mathrm{~m} / \mathrm{s}}

\mathrm{Z\rightarrow coordinate =8 \times \frac{\pi}{40}=\frac{\pi}{5}~ new ~radius ~\Rightarrow .2 \mathrm{~m} \ \mathrm{~T}=4 \mathrm{t}}

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