A Proton Projected With Kinetic Energy K describes A Circle Of Radius r in A Uniform Magnetic Field. With What Kinetic Energy Should An -particle Be Projected In The Same Magnetic Field So That It Describes A Circle Of Radius 2r?

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Question

A proton projected with kinetic energy K describes a circle of radius r in a uniform magnetic field. With what kinetic energy should an -particle be projected in the same magnetic field so that it describes a circle of radius 2r?

Solution

Correct option is

4K

In term of kinetic energy K, the radius of the circular path is given by 

          

For -particle, the mass is 4 m and charge is 2e. Hence 

         

              

               

               = 4K.

SIMILAR QUESTIONS

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Q9

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Q10

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