A particle of specific charge qm=πCkg−1 is projected from the origin toward positive x−axis with a velocity of 10ms−1 in a uniform magnetic field →B=−2^kT. The velocity →v of particle after time t=112s will be (in ms−1)
A
5[^i+√3^j]
B
5[√3^i+^j]
C
5[√3^i−^j]
D
5[^i+^j]
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Solution
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Time period T=2πmqB=2πqmB=2ππ×2=1s
Since the particle will be at point P after time t=112=T12s , it is deviated by an angle θ=2π12=300