An α-particle and a proton are accelerated through same potential difference

An Particle And A Proton Are Accelerated Through Same Potential Physics Question

An α-particle and a proton are accelerated through same potential difference from rest. Find the ratio of their final velocity

Options

(a) (4:1)
(b) (1:1)
(c) (1:√2)
(d) (1:2)

Correct Answer:

(1:√2)

Explanation:

When a charged particle of charge q and mass m is accelerated from rest through a potential difference V.

.·. Gain in kinetic energy = Loss in potential energy

(1/2) mv² – (1/2) m(0)² = qV or (1/2) mv² = qV or v = √(2qV / m)

For proton, v(p) = √[2eV / m(p)] = √[2eV / m] —–(i)

where m is the mass in atomic mass unit

For α-particle v(α) = √[2(2e)V / m(α)]

= √[2(2e)V / 4m] = (1/√2) v(p)

Therefore, v(α) / v(p) = 1/√2

Related Questions:

  1. Eight drops of a liquid of density ρ and each of radius a are falling through air
  2. A bucket full of water is revolved in a vertical circle of 2m
  3. In a vaccum triode the function of grid voltage is
  4. In the elastic collision of objects
  5. Two lenses of power 15 D and -3 D are placed in contact.

Topics: Current Electricity (136)
Subject: Physics (2479)

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*