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Q.

A particle of specific charge q/m=π C/kg is projected from the origin towards positive x-axis with a velocity of 10 m/s in a uniform magnetic field B→=−2k^ Tesla. The velocity V→ of the particle after time t = 1/6 s will be

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a

(5i^+53j^) m/s

b

10j^ m/s

c

(53i^−5j^) m/s

d

−10j^ m/s

answer is A.

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Detailed Solution

Time period T=2πmqB=1 sThus, the particle will be at P after t=16 s∴ V→=10(cos⁡60i^+sin⁡60j^) =5(i^+3j^) m/s

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