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Question

# A charged particle is moving in a circular orbit in a magnetic field. If the strength of the magnetic field becomes four times, Find out the change in radius of the particle's orbit.

A
It is quartered
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B
It is halved
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C
It is unchanged
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D
It is doubled
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E
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Solution

## The correct option is A It is quarteredUsing Bqr=mv ⟹r=mvBqNow the magnetic field is increased to 4 times i.e B′=4B∴ New radius r′=mvB′q=mv(4B)q=r4Thus the radius is quartered.

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