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>>Motion of Charged Particle Combined in Magnetic Field and Electric Fields
>> $A proton and an alpha - particle enter a$

Question

A proton and an $α -$ particle enter a uniform magnetic field at right angles to it with same velocity. The time period of $α -$ particle as compared to that of proton, will be

A

four times

B

two times

C

half

D

one-fourth

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Updated on : 2022-09-05

Solution

Verified by Toppr

Correct option is B)

Time Period $T = \frac{2 π m}{q B}$
$∴ \frac{T _{a l p h a}}{T _{p r o t o n}} = \frac{m _{a l p h a}}{m _{p r o t o n}} \times \frac{q _{p r o t o n}}{q _{a l p h a}} = \frac{4}{1} \times \frac{1}{2} = 2$

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