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

⇦

⇨

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. which of the following statement is false for the properties of electromagnetic waves?
2. If h is the height of the capillary rise and r be the radius of capillary tube,
3. Dispersion of light is caused due to
4. Alternating current cannot be measured by D.C Ammeter because
5. Current in a coil changes from 4 A to zero in 0.1 second and the emf induced is 100V

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.

---

Share this page with your friends