Question

Two particles x and y having equal charge after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular path of radius r1 and r2 the ratio of masses of x and y is

Answer 1

heya..........

the two particles can be proton and deuteron nuclei.or such pairs whose charges are same but masses are different.

Explanation:

the two particles have same +ve charge i.e. charge of proton.

In heavy hydrogen deuteron nucleus an additional neutron is bound.so its mass is roughly 2 times the mass of a nucleon.

they are accelerated through same potential difference so their kinetic energy is same but their velocities will be different due to different masses.

e.V=1/2×mv2 

Therefore v(proton) = √2.e.V/M

For Deuteron 

v(deteron)= 1/√2 . v(proton)

as the mass will change to twice its value for deuteron.

When they enter into same magnetic field region with different velocities the radius of the curved path will depend on the the masses also

R(1)=√Mv/B.e          for proton

and

R(2)=√2mv^2/B.e            for deuteron.

tysm..........#gozmit