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SOLUTION
Given,
the velocity of protons, v= 4× 10^5 m/s
Uniform magnetic fiel, B= 0.3T
Angle made by particle with magnetic field 60°
The magnetic force will act like centripetal force.
Therefore,
r= mv/qB
r= 1.67×10^-27 ×4×10^5 sin 60°/1.6 × 10^-19 ×0.3
=) 1.2× 10^-2
=) 1.2cm
Pitch is the distance moved along the magnetic field in one rotation.
Therefore,
=) T= 2πr/v sin theta = 2.175 × 10^-7S
=) P= v cos theta. T
=) 4× 10^5 × 1/2 × 2.175 × 10^-7
=) 4.35cm
hope it helps
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