You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Magnetic Moment

A proton and ...

Question

A proton and an α particle enter perpendicular to a uniform magnetic field with the same speed. The ratio of the radii of their trajectories is

1:1

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

1:2

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

3:1

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

1:4

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

Open in App

Solution

The correct option is B
1:2

$R_{p} = \frac{m v}{q B} R_{α} = \frac{4 m v}{2 q B} = 2 R_{p} R_{p} : R_{α} = 1 : 2$

Suggest Corrections

Similar questions

Q. A proton and an

α

- particle (Helium nucleus) enters a uniform magnetic field with their direction of velocity perpendicular to the direction of magnetic field.

(i i i)

If proton and

α

- particle enter the magnetic field, perpendicular to it with same momentum, then the ratio of the radii of curvature of proton and

α

- particle will be

[

1 Mark

]

Q. A proton and an

α

- particle (Helium nucleus) enters a uniform magnetic field with their direction of velocity perpendicular to the direction of magnetic field.

(i v)

If proton and

α

- particle enter the magnetic field, perpendicular to it with same kinetic energy, then the ratio of the radii of curvature of proton and

α

- particle will be

[

1 Mark

]

Q. A proton and an

α

- particle (Helium nucleus) enters a uniform magnetic field with their direction of velocity perpendicular to the direction of magnetic field.

(i i)

If proton and

α

- particle enter the magnetic field, perpendicular to it with same velocity, then the ratio of the radii of curvature of proton and

α

- particle will be

[

1 Mark

]

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 and proton are accelerated from rest through same potential difference and both enter into a uniform perpendicular magnetic field. Find the ratio of their radii of curvature.

Join BYJU'S Learning Program

A proton and an α particle enter perpendicular to a uniform magnetic field with the same speed. The ratio of the radii of their trajectories is

The correct option is B 1:2 Rp=mvqBRα=4mv2qB=2RpRp:Rα=1:2

The correct option is B
1:2

$R_{p} = \frac{m v}{q B} R_{α} = \frac{4 m v}{2 q B} = 2 R_{p} R_{p} : R_{α} = 1 : 2$