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Three paticles, an electron (e), a proto...

Three paticles, an electron (e), a proton (p) and a helium atom (He) are moving in circular paths with constant speeds in the x-y plane in a region where a uniform magnetic field B exists along z-axis. The times taken by e, p and He inside the field to complete one revolution are `t_e, t_p and t_He` respectively. Then,

A

`t_(He) gt t_(p)=t_(c )`

B

`t_(He) gt t_(p) gt t_(c )`

C

`t_(He) = t_(p) = t_(c )`

D

none of these

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the motion of the three charged particles (electron, proton, and helium atom) in a uniform magnetic field. The magnetic field is directed along the z-axis, while the particles are moving in the x-y plane. ### Step-by-Step Solution: 1. **Understanding the Motion in a Magnetic Field**: - When a charged particle moves in a magnetic field, it experiences a magnetic force that acts as the centripetal force required for circular motion. - The magnetic force \( F \) on a charged particle is given by: \[ ...
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