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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: - Two parallel long wires carry currents i₁ and i₂ with i₁ > i₂ .
- A 2 kg mass starts from rest on an inclined smooth surface with inclination
- When 4 A current flows for 2 min in an electroplating experiment,
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Topics: Current Electricity
(136)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Two parallel long wires carry currents i₁ and i₂ with i₁ > i₂ .
- A 2 kg mass starts from rest on an inclined smooth surface with inclination
- When 4 A current flows for 2 min in an electroplating experiment,
- When a p-n junction is reverse biased, then the current through the junction
- A particle has initial velocity(3i⃗ +4j⃗)and has acceleration (0.4i⃗ +0.3j⃗)
Topics: Current Electricity (136)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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