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Special theory of relativity

14 Official GATE PH Questions with Verified Solutions & Answer Keys

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Solved Questions for Special theory of relativity

GATE PH 2007 • Q61 (MCQ) +2 Mark

A relativistic particle travels a length of $3 \times 10^{-3}$ m in air before decaying. The proper lifetime of the particle is $10^{-11}$ s. The speed of the particle is approxima...

View Step-by-Step Derivation → • Answer Key: A
GATE PH 2009 • Q41 (MCQ) +2 Mark

The disintegration energy is defined to be the difference in the rest energy between the initial and final states. Consider the following process : 240 Pu →336 U +* He. The emitted...

View Step-by-Step Derivation → • Answer Key: 0
GATE PH 2010 • Q23 (MCQ) +1 Mark

For the set of all Lorentz transformations with velocities along the x-axis, consider the two stutements given below: P: If L is a Lorentz transformation then. L'is also a Lorentz ...

View Step-by-Step Derivation → • Answer Key: A
GATE PH 2011 • Q32 (MCQ) +2 Mark

Two particles, each of rest mass m collide head-on and stick together. Before collision, the speed of each mass was 0.6 times the speed of light in free space. The mass of the fina...

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GATE PH 2012 • Q35 (MCQ) +1 Mark

A rod of proper length l0 oriented parallel to the x-axis moves with speed 2c/3 along the x-axis in the S-frame, where c is the speed of the light in free space. The observer is al...

View Step-by-Step Derivation → • Answer Key: D
GATE PH 2016 • Q17 (NAT) +1 Mark

The kinetic energy of a particle of rest mass 0m is equal to its rest mass energy. Its momentum in units of c m0 , where c is the speed of light in vacuum, is _______. (Give your a...

View Step-by-Step Derivation → • Answer Key: 4 : 4
GATE PH 2016 • Q27 (NAT) +1 Mark

The kinetic energy of a particle of rest mass m, is equal to its rest mass energy. Its momentum in units of m,c, where c is the speed of light in vacuum, is _ (Give your answer upt...

View Step-by-Step Derivation → • Answer Key: 1.72 : 1.74
GATE PH 2021 • Q41 (MCQ) +2 Mark

Consider two concentric conducting spherical shells as shown in the figure. The inner shell has a radius a and carries a charge +Q. The outer shell has a radius b and carries a cha...

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GATE PH 2022 • Q61 (NAT) +2 Mark

Two identical particles of rest mass m_0 approach each other with equal and opposite velocity v = 0.5c, where c is the speed of light. The total energy of one particle as measured ...

View Step-by-Step Derivation → • Answer Key: 1.65 to 1.70
GATE PH 2023 • Q40 (MCQ) +2 Mark

A rod PQ of proper length L lies along the x-axis and moves towards the positive x direction with speed v = 3c 5 with respect to the ground (see figure) , where c is the speed of l...

View Step-by-Step Derivation → • Answer Key: C
GATE PH 2024 • Q25 (MCQ) +1 Mark

An inertial observer sees two spacecrafts S and T flying away from each other along x-axis with individual speed 0.5c, where c is the speed of light. The speed of T with respect to...

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GATE PH 2025 • Q25 (MSQ) +1 Mark

Which of the following option(s) is/are correct for photons?...

View Step-by-Step Derivation → • Answer Key: A;B;D
GATE PH 2025 • Q27 (MSQ) +1 Mark

Which of the following consideration (s) is/are showing t hat nuclear beta decay , n → p + e- + 𝜈̅e, has to be a three-body decay?...

View Step-by-Step Derivation → • Answer Key: A;B
GATE PH 2025 • Q29 (MSQ) +1 Mark

Nuclear radiation emitted from a Co60 radioactive source is detected by a photomultiplier tube (PMT) coupled to a scintillator crystal. Which of the following option(s) is/are corr...

View Step-by-Step Derivation → • Answer Key: B;D