An α−particle and a proton are both simultaneously projected in opposite directions into a region of constant magnetic field perpendicular to the direction of the field. After some time it is found that the velocity of the α−particle has changed in direction by $$45$$°. Then at this time, the angle between velocity vectors of α−particle and proton is

Question

An α−particle and a proton are both simultaneously projected in opposite directions into a region of constant magnetic field perpendicular to the direction of the field. After some time it is found that the velocity of the α−particle has changed in direction by $$45$$°. Then at this time, the angle between velocity vectors of α−particle and proton is

Infinity Learn · Accepted Answer

ω$$=qB/m$$,  ωP $$=$$  $$eB/m$$,  ωα $$=$$  $$2eB4m=$$  ω$$P/2So$$ proton will cover double angle in same time as that of α−particle Clearly from figure angle between vα  and vP is  $$1350$$.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material