A proton, a deuteron and an a-particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them will be

1 : 1 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 2 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 : 1 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 : 1 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $2 : 1 : 1$
The masses are in the ratio $m_{p} : m_{d} : m_{α} = 1 : 2 : 4$
As the momentum is same we get the velocity in the ratio $v_{p} : v_{d} : v_{α} = 4 : 2 : 1$
For a charged particle in uniform magnetic field, we can write,
$\frac{m v^{2}}{r} = B q v$
If +e is the charge on proton, then charge on deutron is also +e and charge on alpha particle is +2e.
Thus charges are in the ratio $q_{p} : q_{d} : q_{α} = 1 : 1 : 2$
For a proton, a deutron and an alpha-particle are moving with same momentum in a uniform magnetic field
$f_{p} : f_{d} : f_{α} = e B v : e B v : 2 e B v$
As $B$ is same we get
$f_{p} : f_{d} : f_{α} = 2 : 1 : 1$

Suggest Corrections

Similar questions

Q. A proton, a deuteron and an

α

- particle are moving with the same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them and the ratio of their speeds are respectively :

A proton, a deuteron (nucleus of $1_{H}^{2})$ and an $α$ -particle with same kinetic energy enter a region of uniform
magnetic field moving at right angles to the field. The ratio of the radii of their circular path is

Q. An

α

-particle, a deuteron and a proton are moving with same momentum in a uniform magnetic field. The ratio of their speeds will be

Q. Assertion :A deuteron and an

α -

particle are placed in an electric field. If

F_{1}

and

F_{2}

be the forces acting on them and

a_{1}

and

a_{2}

be their accelerations respectively then,

a_{1} = a_{2}

. Reason: Forces will be same in electric field.

Q. An electron and a proton move in a uniform magnetic field with same speed

20 m / s

perpendicular to the magnetic field (

1 T

). What are the forces they will experience ?

Join BYJU'S Learning Program