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A beam of protons enters a uniform magnetic field of 0.3 Tesla with a velocity of 4 x 10⁵ m/sec at an angle of 60° to the field. The radius of the helical path taken by the beam is
  • a)
    47.1 mm
  • b)
    32 mm
  • c)
    18 mm
  • d)
    46 mm
Correct answer is option 'A'. Can you explain this answer?

IIT JAM Question

RITU GUPTA
May 20, 2020
v1 is responsible for horizontal motion of proton
v2 is responsible for circular motion of proton
Mass of proton =  1.67 * 10-27 Kg
Charge on proton= 1.6 * 10-19 C
∴ mv22 / r = qv2 B
r = mv2 /qB
= 1.67 * 10-27 *  4 x 10⁵ / 1.6 * 10-19 * 0.3
= 0.013 m
Pitch of helix = v1 x T
Where T = 2πr / v2
                ­ = 2πr / v sin θ
⇒ Pitch of helix = v cos θ x 2πr / v sin θ
                     = 2 πr cotθ
                     = 2x 3.14 x 0.013 x cot 60°
                     = 0.0471 m
                     = 47.1 mm

This discussion on A beam of protons enters a uniform magnetic field of 0.3 Tesla with a velocity of 4 x 10 m/sec at an angle of 60° to the field. The radius of the helical path taken by the beam isa)47.1 mmb)32 mmc)18 mmd)46 mmCorrect answer is option 'A'. Can you explain this answer? is done on EduRev Study Group by IIT JAM Students. The Questions and Answers of A beam of protons enters a uniform magnetic field of 0.3 Tesla with a velocity of 4 x 10 m/sec at an angle of 60° to the field. The radius of the helical path taken by the beam isa)47.1 mmb)32 mmc)18 mmd)46 mmCorrect answer is option 'A'. Can you explain this answer? are solved by group of students and teacher of IIT JAM, which is also the largest student community of IIT JAM. If the answer is not available please wait for a while and a community member will probably answer this soon. You can study other questions, MCQs, videos and tests for IIT JAM on EduRev and even discuss your questions like A beam of protons enters a uniform magnetic field of 0.3 Tesla with a velocity of 4 x 10 m/sec at an angle of 60° to the field. The radius of the helical path taken by the beam isa)47.1 mmb)32 mmc)18 mmd)46 mmCorrect answer is option 'A'. Can you explain this answer? over here on EduRev! Apart from being the largest IIT JAM community, EduRev has the largest solved Question bank for IIT JAM.

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