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A small particle of mass 1 kg and charge 1 C enters perpendicularly in a triangular region of a uniform magnetic field of strength 2 T as shown in the figure. What is the maximum velocity (in m s - 1 ) of the particle with which it can enter so that it completes a half-circle in the region of the magnetic field?

Correct answer

3

Step-by-step solution

sin ⁡ 37 ° = R 4 - R ⇒ 3 5 = R 4 - R ⇒ 12 – 3 R = 5 R ⇒ 8 R = 12 ⇒ R = 12 8 = 3 2 m V = q B R m = 1 × 2 × 1.5 1 = 3 m s - 1

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