A proton is projected with speed making an angle of with a uniform magnetic field of…

PHYSICS · Multi-part · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A proton is projected with speed

3.0\times10^{6}\,\text{m\,s}^{-1}

making an angle of

30^{\circ}

with a uniform magnetic field of magnitude

0.20\,\text T

. (i) Determine the pitch of the helical path followed by the proton. (ii) Calculate the time taken by the proton to complete

10

full turns of the helix. (iii) Find the axial distance travelled by the proton during these

10

turns. (iv) If instead of a proton an alpha particle (charge

+2e

, mass

4m_p

) is projected with the same speed and angle, compare its pitch with that of the proton and justify your answer quantitatively.