NEET 2007 Physics question

Under the influence of a uniform magnetic field a charged particle is moving in a circle of radius R with constant speed V. The time period of the motion

(1)depends on R and not on V
(2)depends on V and not on R
(3)depends on both R and V
(4)is independent of both R and VCorrect

Answer: (4)

Solution

In a uniform magnetic field the magnetic force provides the centripetal force: , so . The time period is \frac{2π R}{V}\frac{2π}{V}\frac{mV}{qB}$ =

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Question ID VK-089916