Download App

The Special Theory of Relativity Physics - The Special Theory of Relativity

UP Board (UPMSP) - STD 11 Science - Physics (UPMSP - English Medium). 46 questions in this chapter.

Question types

The Special Theory of Relativity question types

46 questions across 4 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

46
Questions
4
Question groups
5
Question types
Sample Questions

The Special Theory of Relativity questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 11 Marks Question1 Mark
If the speed of a rod moving at a relativistic speed parallel to its length is doubled,
  1. The length will become half of the original value.
  2. Mass will become double of the original value.
  3. The length will decrease.
  4. The mass will increase.
  • ✓
    $c$ and $d $
  • B
    $a$ and $b $
  • C
    $b$ and $c $
  • D
    $a$ and $d$ 

Answer: A.

View full solution →
Q 21 Marks Question1 Mark
Mark the correct statements:
  1. Equations of special relativity are not applicable for small speeds.
  2. Equations of special relativity are applicable for all speeds.
  3. Nonrelativistic equations give exact result for small speeds.
  4. Nonrelativistic equations never give exact result.
  • A
    $a$ and $b$   
  • ✓
    $b$ and $d$
  • C
    $a$ and $c$
  • D
    $b$ and $c$

Answer: B.

View full solution →
Q 31 Marks Question1 Mark
The magnitude of linear momentum of a particle moving at a relativistic speed $v$ is proportional to:
  • A
    $\text{v}$
  • B
    $\sqrt{1-\frac{\text{v}^2}{\text{c}^2}}$
  • C
    $1-\frac{\text{v}^2}{\text{c}^2}$
  • ✓
    None of these.

Answer: D.

View full solution →
Q 41 Marks Question1 Mark
An experimenter measures the length of a rod. In the cases listed, all motions are with respect to the lab and parallel to the length of the rod. In which of the cases the measured length will be minimum?
  • A
    The rod and the experimenter move with the same speed $v$ in the same direction.
  • ✓
    The rod and the experimenter move with the same speed $v$ in opposite directions.
  • C
    The rod moves at speed $v$ but the experimenter stays at rest.
  • D
    The rod stays at rest but the experimenter moves with the speed $v.$

Answer: B.

View full solution →
Q 51 Marks Question1 Mark
A charged particle is projected at a very high speed perpendicular to a uniform magnetic field. The particle will:
  • ✓
    Move along a circle.
  • B
    Move along a curve with increasing radius of curvature.
  • C
    Move along a curve with decreasing radius of curvature.
  • D
    Move along a straight line.

Answer: A.

View full solution →
Q 62 Marks Questions2 Marks
By what fraction does the mass of a spring change when it is compressed by 1cm? The mass of the spring is 200g at its natural length and the spring constant is 500N/m.
View full solution →
Q 92 Marks Questions2 Marks
A 100W bulb together with its power supply is suspended from a sensitive balance. Find the change in the mass recorded after the bulb remains on for 1 year.
View full solution →
Q 102 Marks Questions2 Marks
Two babies are born in a moving train, one in the compartment adjacent to the engine and other in the compartment adjacent to the guard. According to the train frame, the babies are born at the same instant of time. Who is elder accordmg to the ground frame?
View full solution →
Q 123 Marks Question3 Marks
The guru of a yogi lives in a Himalyan cave, 1000km away from the house of the yogi. The yogi claims that henever he think.a about hi a guru, the guru unmediately knows about it. Calculate the minimum possible time interval between the yogi thinking about the guru and the euni knowing about it.
View full solution →
Q 133 Marks Question3 Marks
A particular particle created in a nuclear reactor leaves a $1\ cm$ track before decaying. Assuming that the particle moved at $0.995c$, calculate the life of the particle:
  1. In the lab frame and.
  2. In the frame of the particle.
View full solution →
Q 153 Marks Question3 Marks
According to the station clocks, two babies are born at the same instant, one in Howrah and other in Delhi.
  1. Who is elder in the frame of $2301\ Up$ Rajdhani Express going from Howrah to Delhi?
  2. Who is elder in the frame of $2302\ Dn$ Rajdhani Express going from Delhi to Howrah.
View full solution →
Q 165 Marks Questions5 Marks
A person travelling in a fast spaceship measures the distance between the earth and the moon. Is it the same, smaller or larger than the value quoted in this book?
View full solution →
Q 175 Marks Questions5 Marks
A suitcase kept on a shop's rack is measured 50cm × 25cm × 10cm by the shop's owner. A traveller takes this suitcase in a train moving with velocity 0.6c.
If the suitcase is placed with its length along the train's velocity, find the dimensions measured by:
  1. The traveller and.
  2. A ground observer.
View full solution →
Q 185 Marks Questions5 Marks
A person travels by a car at a speed of 180km/h. It takes exactly 10 hours by his wristwatch to go from the station A to the station B:
  1. What is the rest distance between the two stations?
  2. How much time is taken in the road frame by the car to go from the station A to the station B?
View full solution →
Q 195 Marks Questions5 Marks
The energy from the sun reaches just outside the earth's atmosphere at a rate of $1400W/m^2$. The distance between the sun and the earth is $1.5 \times 10^{11}m$.
  1. Calculate the rate at which the sun is losing its mass.
  2. How long will the sun last assuming a constant decay at this rate? The present mass of the sun is $2 \times 10^{80}kg$.
View full solution →
Q 205 Marks Questions5 Marks
An object may be regarded to be at rest or in motion depending on the frame of reference chosen to view the object. Because of length contraction it would mean that the same rod may have two different lengths depending on the state of the observer. Is this true?
View full solution →
Browse all question groups ↑

Generate a The Special Theory of Relativity paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll Physics chapters