Home
Class 12
PHYSICS
A proton, a deuteron and an alpha partic...

A proton, a deuteron and an alpha particle with the same kinetic energy enter a region of uniform magnetic field B at right angles to the field. The ratio of the radii of their circular paths is :

A

`1:1:1`

B

`1: sqrt(2): sqrt(2)`

C

`sqrt(2):1:1`

D

`sqrt(2):sqrt(2):1`

Text Solution

Verified by Experts

The correct Answer is:
B
Radius of circular paths is proportional to square root of mass.
`" "R propto sqrt(m)`
`" "(R_(d))/(R_(p))=sqrt(m_(d)/m_(p))=sqrt(2)/1`
`rArr" "R_(p)/R_(d)=1/sqrt(2)`
Also, `R_(d)/R_(alpha)=sqrt(M_(d))/sqrt(M_(alpha))=sqrt(2)/sqrt(4)=1/sqrt(2)`
Hence, ratio is `1:sqrt(2):sqrt(2)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The velocities of two alpha particles entering a uniform magnetic field are in the ratio 2:3. What is the ratio of the radii of their circular path.

An electron with energy 1 keV is entering a uni form magnetic field of 0.04T at an angle 60 with the field. Predict the path of the electron and find the characteristics of the path.

An alpha particle and a proton are moving in a region normal to a uniform magnetic field B. If two particles have equal linear momenta, what will be the ratio of the radii of their trajectories in the field?