﻿ A proton projected with a velocity v describes a circle of radius r in a uniform magnetic field. With what velocity should an alpha-particle be projected so that it describes a circle of the same radius r in the same magnetic field?    : Kaysons Education

# A Proton Projected With A Velocity v describes A Circle Of Radius r in A Uniform Magnetic Field. With What Velocity Should An Alpha-particle Be Projected So That It Describes A Circle Of The Same Radius r in The Same Magnetic Field?

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## Question

### Solution

Correct option is

Charge of -particle = 2e, mass of -particle = 4m, where e is charge of a proton and m its mass.

. Therefore, r will be same if  is the same for both particles, i.e.

Which gives

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