Question

A proton, a deutron and an $a$-particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them will be (a) $1: 1: 2$ (b) $1: 2: 3$ (c) $2: 1: 1$ (d) $1: 1: 1$

Name: Problem 24, Chapter 23: Guide to Physics IIT JEE
Uploaded: 2022-01-16T13:42:20-08:00
Duration: 1 min 22 s
Channel: Ankur S
Description: A proton, a deutron and an a-particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them will be (a) 1: 1: 2 (b) 1: 2: 3 (c) 2: 1: 1 (d) 1: 1: 1

   A proton, a deutron and an $a$-particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them will be
(a) $1: 1: 2$
(b) $1: 2: 3$
(c) $2: 1: 1$
(d) $1: 1: 1$

Guide to Physics IIT JEE

Ravi Raj Dudeja 1st Edition

Chapter 23, Problem 24

Instant Answer

Solved by Expert Ankur S

01/16/2022

Step 1

The magnetic force $ F $ is given by: \[ F = qvB \sin \theta \] where $ q $ is the charge of the particle, $ v $ is the velocity, $ B $ is the magnetic field strength, and $ \theta $ is the angle between the velocity and the magnetic field. For Show more…

Show all steps

Thanks for your feedback!

A proton, a deutron and an $a$-particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them will be (a) $1: 1: 2$ (b) $1: 2: 3$ (c) $2: 1: 1$ (d) $1: 1: 1$

Play audio

Feedback

Ankur S and 82 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Charge-to-Mass Ratio

Given that the magnetic force can be expressed as F = (qB * p)/m by substituting v = p/m into the Lorentz force law, the resultant force on a particle depends on its charge-to-mass ratio (q/m). This ratio is key to comparing the magnetic forces experienced by different particles moving with the same momentum.

Lorentz Force

The Lorentz force law states that a charged particle moving in a magnetic field experiences a force given by F = qvB when the velocity is perpendicular to the magnetic field. This principle is fundamental in analyzing the motion and deflection of charged particles within magnetic fields.

Momentum and Velocity Relationship

Momentum is defined as p = mv. When particles have the same momentum, their velocities must be inversely proportional to their masses (v = p/m). This relationship is crucial in determining how different particles respond to the same magnetic field when their momentum is held constant.

Please give Ace some feedback