A proton and a deuteron are moving with equal velocities perpendicular to a uniform magnetic field. A deuteron has the same charge as the proton but has twice its mass. The ratio of the acceleration of the proton to that of the deuteron is:

a) 2

b) 1/2

c)There is no acceleration for proton and deutron

d) 1

e) 4

The ratio of the acceleration of the proton to that of the deuteron is 2

Explanation:

For a moving charge in magnetic field, the magnetic force is balanced by force due to its motion. So,

Acceleration of proton,

 .........(1)

Acceleration of deuteron,

  ..........(2)

Since, a deuteron has the same charge as the proton but has twice its mass.

Dividing equation (1) and (2) we get :

So, the ratio of the acceleration of the proton to that of the deuteron is 2. Hence, the correct option is (a).

d) physical means can be used to separate the components of air.