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A proton enters into a magnetic field of induction 1.732 T, with a velocity of 107 m/s at an angle 60° to the field. The force acting on the proton is e = 1.6 × 10-19 C, sin 60° = cos 30° = 32 -

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Question

A proton enters into a magnetic field of induction 1.732 T, with a velocity of 107 m/s at an angle 60° to the field. The force acting on the proton is e = 1.6 × 10-19 C, sin 60° = cos 30° = `sqrt3/2`

Options

  • 1.6 × 10-12 N

  • 3.2 × 10-12 N

  • 4.0 × 10-12 N

  • 2.4 × 10-12 N

MCQ

Solution

2.4 × 10-12 N

Explanation:

F = q(B × v) = qBv sin 60° = 1.732 × 1.6 × 10-19 × 107 × `sqrt3/2`

= 2.4 × 10-12 N

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