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The Special Theory of Relativity — JEE Main & Advanced Physics PYQs

55 previous year questions from The Special Theory of Relativity with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

55 questionsPhysicsSolutions on every page
1

A yogi's guru resides in a Karakoram cave, located 1000 km away from the house of the yogi. The yogi asserts that whenever he thinks about his guru, the guru instantly knows about

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 2

Measured at rest, a rod has an exact length of 1 m . Determine its length when it travels at a speed of 3 10^5 m s ⁻¹ .

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Measured at rest, a rod has an exact length of 1 m . Determine its length when it travels at a speed of 3 10^6 m s ⁻¹ .

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Measured at rest, a rod has an exact length of 1 m . Determine its length when it travels at a speed of 3 10^7 m s ⁻¹ .

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A shop owner measures a suitcase kept on a rack to be 50 cm 25 cm 10 cm . A traveller takes this suitcase on a train travelling with a velocity of 0.6c . If the suitcase is oriente

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A shop owner measures a suitcase kept on a rack to be 50 cm 25 cm 10 cm . A traveller takes this suitcase on a train travelling with a velocity of 0.6c . If the suitcase is oriente

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A person standing on a platform notes that a train travelling with a velocity of 0.6c requires one second to pass by them. Determine the length of the train as seen by this person.

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A person standing on a platform notes that a train travelling with a velocity of 0.6c requires one second to pass by them. Determine the rest length of the train.

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An aeroplane flies over a rectangular field of dimensions 100 m 50 m , moving parallel to its length. Determine the speed of the plane such that the field appears as a square in th

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The rest distance between Lucknow and Bhopal is 1000 km . A nonstop train travels at 360 km h ⁻¹ . Determine the distance between Lucknow and Bhopal in the train frame.

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The rest distance between Lucknow and Bhopal is 1000 km . A nonstop train travels at 360 km h ⁻¹ . Determine the amount of time that elapses in the train frame between Lucknow and

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A person travels by a car at a speed of 180 km h ⁻¹ . By his wristwatch, the journey from station X to station Y takes exactly 10 hours . What is the rest distance between the two

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A person travels by a car at a speed of 180 km h ⁻¹ . By his wristwatch, the journey from station X to station Y takes exactly 10 hours . How much time is taken in the road frame b

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A person is travelling on a spaceship that moves at a speed of 5c/13 . Determine the time interval calculated by this person between consecutive birthday celebrations of his friend

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A person is travelling on a spaceship that moves at a speed of 5c/13 . Determine the time interval calculated by his friend on the earth between consecutive birthday celebrations o

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According to the station clocks, two babies are born at the exact same instant, one in Kanpur and the other in Agra. Who is elder in the reference frame of the 12033 Shatabdi Expre

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According to the station clocks, two babies are born at the exact same instant, one in Kanpur and the other in Agra. Who is elder in the reference frame of the 12034 Shatabdi Expre

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Two babies are born on a moving train; one is in the compartment adjacent to the engine and the other is in the compartment adjacent to the guard. According to the train frame, the

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Assume that Devlok (heaven) moves constantly at a speed of 0.9999c relative to the earth. In the earth's frame of reference, how much time elapses on the earth for one day to pass

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If a person lives on average 100 years in his rest frame, determine how long he lives in the earth frame if he spends his entire life on a spaceship travelling at 60 % of the speed

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An electric bulb, linked to a make and break power supply, turns off and on every second in its rest frame. Determine the frequency of its switching off and on as observed from a s

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 22

A person travelling in a car moving at 100 km h ⁻¹ observes that his wristwatch agrees with the clock on a tower A . When the car reaches another tower B , 1000 km (in the earth's

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 23

Determine the speed at which the volume of an object shrinks to half of its rest value.

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Before decaying, a specific particle produced in a nuclear reactor leaves a 1 cm track. Determine the life of the particle in the lab frame, assuming it travelled at 0.995c .

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Before decaying, a specific particle produced in a nuclear reactor leaves a 1 cm track. Determine the life of the particle in the frame of the particle, assuming it travelled at 0.

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Determine the fractional change in the mass of a spring upon being compressed by 1 cm . At its natural length, the spring has a mass of 200 g and a spring constant of 500 N m ⁻¹ .

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Determine the increase in mass when 1 kg of water is heated from 0^ C to 100^ C . The specific heat capacity of water is given as 4200 J kg ⁻¹ K ⁻¹ .

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Determine the loss in the mass of 1 mole of an ideal monatomic gas held in a rigid container as it cools down by 10^ C . The gas constant is given as R = 8.3 J K ⁻¹ mol ⁻¹ .

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When a boy starts running at a speed of 12 km h ⁻¹ , by what fraction does his mass increase?

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 30

Suspended from a sensitive balance is a 100 W bulb along with its power supply. Determine the change in the recorded mass after the bulb is kept on for 1 year .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 31

Just outside the earth's atmosphere, energy from the sun arrives at a rate of 1400 W m ⁻² . The distance separating the sun and the earth is 1.5 10¹¹ m . Determine the rate at whic

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Just outside the earth's atmosphere, energy from the sun arrives at a rate of 1400 W m ⁻² . The distance separating the sun and the earth is 1.5 10¹¹ m . If the present mass of the

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 33

An electron and a positron travelling at small speeds collide and annihilate each other. Determine the energy of the resulting gamma photon.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 34

Determine the mass, the kinetic energy, and the momentum of an electron travelling at 0.8c .

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Through what potential difference must an electron be accelerated to give it a speed of 0.6c ?

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Through what potential difference must an electron be accelerated to give it a speed of 0.9c ?

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Determine the speed of an electron possessing a kinetic energy of 1 eV .

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Find the speed of an electron that has a kinetic energy of 10 MeV .

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Through what potential difference must an electron be accelerated to give it a speed of 0.99c ?

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Calculate the speed of an electron whose kinetic energy is 10 keV .

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Calculate the kinetic energy, in electronvolts, of an electron that has a mass equal to twice its rest mass.

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Determine the speed at which the kinetic energy of a particle will deviate by 1 % from its nonrelativistic value 1 2 m₀ v^2 .

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For a particle travelling at a relativistic speed v , the magnitude of its linear momentum is proportional to

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When the speed of a particle increases, its rest mass

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The length of a rod is measured by an experimenter. Initially, both the experimenter and the rod are stationary with respect to the lab. Evaluate the following statements: (A) If t

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 46

An experimenter measures the length of a rod. In the scenarios provided, all motions are relative to the lab and parallel to the rod's length. In which scenario will the measured l

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When the speed of a particle travelling at a relativistic speed is doubled, its linear momentum will

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When a constant force is applied to a particle, its acceleration will

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When a charged particle is projected at an extremely high speed perpendicular to a uniform magnetic field, it will

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When the speed of a rod travelling parallel to its length at a relativistic speed is doubled,

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Identify the correct statements concerning relativistic and nonrelativistic equations:

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Two events occur simultaneously at points A and B as observed in the lab frame. These events will also appear simultaneous in a frame moving with respect to the lab in a direction

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A rod having a rest length L travels at a relativistic speed. Let L' = L/ . Its length

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Which of the quantities listed below concerning an electron possesses a finite upper limit?

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If a rod travels at a relativistic speed v , its mass

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