Answer :


Given


Mass of the proton, mp = 1.6 × 10−27 kg



Magnetic field intensity, B = 0.02 T



Radius of the helical path, r = 5 cm = 5 × 10−2 m



Pitch of the helical path, p = 20cm = 2 × 10−1 m


In helical motion we have two components of velocity.



Component of velocity which is perpendicular to the magnetic field is given by -



Similarly component of velocity in the direction of magnetic field will be the parallel component given by -




Now,


Now, this force is balanced by Lorentz force acting due to presence of magnetic field ,









Now, pitch of the helix is calculated as –







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