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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 $\vec{B} = - 2 \hat{k}$ Tesla. The velocity $\vec{V}$ of the particle after time t = 1/6 s will be

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

10j^ m/s

(53i^−5j^) m/s

−10j^ m/s

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detailed solution

Correct option is A

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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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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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 $\vec{B} = - 2 \hat{k}$ Tesla. The velocity $\vec{V}$ of the particle after time t = 1/6 s will be