Physics: Special Theory of Relativity | everexams.com
Chapter 11: Special Theory of Relativity
Class
1st Year
Subject
Physics (SNC)
Chapter
Special Theory of Relativity
Paper Type
Practice Paper
Multiple Choice Questions (MCQs)
Short Answer Questions
Important Formulas

Time Dilation:

Δt = Δt₀/√(1 – v²/c²)

where Δt = dilated time

Δt₀ = proper time

v = relative velocity

c = speed of light

Length Contraction:

L = L₀√(1 – v²/c²)

where L = contracted length

L₀ = proper length

v = relative velocity

c = speed of light

Relativistic Mass:

m = m₀/√(1 – v²/c²)

where m = relativistic mass

m₀ = rest mass

v = velocity

c = speed of light

Rest Mass Energy:

E₀ = m₀c²

where E₀ = rest energy

m₀ = rest mass

c = speed of light

Time Dilation Calculator
Relativistic Mass Calculator
Detailed Answer Questions
Question 1 (5 marks)
A neutron, being not a stable particle, disintegrates in 20 minutes on the average. How long will it seem to exist if shoots out from a nucleus with a speed of 0.8 c? (Numerical Problem)
Question 2 (5 marks)
The rest mass of an electron is 9.11 × 10⁻³¹ kg. Calculate the corresponding rest-mass energy. (Numerical Problem)
Question 3 (5 marks)
At what speed would the mass of a proton in a particle accelerator be tripled? (Numerical Problem)

Note: Answer any 2 questions. Each question carries 5 marks.

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