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

explanation:

v=uf/(u-f)

= 5.10/(5-10) convex lens has positive focal length

=50/-5

=-10 cm (formed at other side)

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s