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Lorentz transformation and muon experiment - class-XI

lorentz transformation and muon experiment

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Question 1 Multiple Choice (Single Answer)
We don't observe space contraction in our every day lives and the reason is
  1. Space contraction is not noticeable until objects approach the speed of light.
  2. Space contraction does not occur until objects approach the speed of light.
  3. Space contraction only occurs in a vacuum.
  4. Space contraction is offset by the effect of gravity.
  5. Acceleration is necessary for length contraction.
Question 2 Multiple Choice (Single Answer)
The best definition for space contraction ?
  1. The length of an object decreases in the same direction it is moving.
  2. All dimensions of an object decrease at high speeds.
  3. The length of an object increases in the same direction it is moving.
  4. Both length and width, but not depth, decrease at high speeds.
  5. Space is constant regardless of its location or state of motion.
Question 3 Multiple Choice (Multiple Answers)

A rod of rest length L moves at a relativistic speed. Let L' = L/$\gamma$. Its length

  1. must be equal to L'
  2. may be equal to L
  3. may be more than L' but less than L
  4. may be more than L
Question 4 Multiple Choice (Single Answer)

A man is sitting inside a moving train and observes the objects outside of the train. Then choose the single correct choice from the following statements

  1. all stationary objects outside the train will move with same velocity in opposite direction of the train with respect to the man.
  2. Stationary objects near the train will move with grater velocity & object far from train will move with lesser velocity with respect to the man
  3. large objects like moon or mountains will move with same velocity as that of the train
  4. all of these.
Question 5 Multiple Choice (Single Answer)

According to special relativity, which of the following people would see me aging most slowly? (I am sitting)

  1. A person running by me at $6.0\ m/s$
  2. A person sitting next to me in a rocket travelling at half the speed of light
  3. A person viewing me from the top of a mountain
  4. A person beside me on a bus moving at $15 m/s$
  5. All people would see me age at the same rate
Question 6 Multiple Choice (Single Answer)

A person is watching a rocket with an astronaut inside move by at a speed near the speed of light.
Which of the following statement is true?

  1. The passage of time on the astronaut's watch is faster from the person's perspective than from the astronaut's
  2. The passage of time on the astronaut's watch is the same from the perspective of the person and the astronaut
  3. The passage of time on the astronaut's watch is faster from the perspective of the astronaut than from the perspective of the person
  4. The passage of time on the person's watch is faster, from his own perspective, as the rocket files by, than it was before the rocket flew by
  5. The passage of time on the astronaut's watch is faster, from his own perspective, as he flies by the person, than it was before he flew by the person
Question 7 Multiple Choice (Single Answer)

The length of cruiser is $200 m$. If If the cruiser travels at a speed of $(\dfrac{\sqrt{3}}{2})c$ past a planet. Calculate the length of the cruiser measured by the inhabitants of the planet.

  1. $0$
  2. Between $0$ and $200 m$
  3. $200 m$
  4. Greater than $200 m$
  5. None of the above, since it is impossible to reach the described speed
Question 8 Multiple Choice (Single Answer)
A space traveler is moving at a speed of 0.6 times the speed of light as seen from the Earth's frame of reference. After one year passes on Earth, the space traveler will
  1. age more than one year
  2. age less than one year
  3. age exactly one year
  4. not age at all
  5. become younger
Question 9 Multiple Choice (Single Answer)

An astronaut on a fast-moving spaceship appears to age only $1$ year to an outside observer, even though the person travels for $5$ years from the observer's perspective. The astronaut travels a distance of X during this time, from the observer's perspective.
Which of the following is true from the astronaut's perspective?

  1. The astronaut ages $5$ years during the trip
  2. The distance the astronaut travels is X
  3. The distance the astronaut travels is greater than X
  4. The distance the astronaut travels is less than X
  5. The astronaut ages more than $5$ years during the trip
Question 10 Multiple Choice (Single Answer)

A person is watching a rocket with a astronaut inside move by at a speed near the speed of light. Which of the following statement is true?

  1. The length of the rocket is greater from the person's perspective than from the astronaut's perspective
  2. The length of the rocket is the same from the perspective of the person and the astronaut
  3. The length of the rocket is greater from the perspective of the astronaut than from the perspective of the person
  4. The person's length is greater, from his own perspective, as the rocket flies by, than it was before the rocket flew by
  5. The astronaut's length is greater, from his own perspective, as he flies by the person, than it was before he flew by the person
Question 11 Multiple Choice (Single Answer)
Two clocks are running in synchronism. One clock is moved at a very high speed and returned to the original position on the earth while the other remains at rest. The time passed in the travelling clock is 1 hr. Which of the following could be the time passed in the clock kept on the earth.
  1. 30 minutes
  2. 45 minutes
  3. 59 minutes
  4. 1 hours
  5. 2 hours
Question 12 Multiple Choice (Single Answer)

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?

  1. The rod and the experimenter move with the same speed v in the same direction.
  2. The rod and the experimenter move with the same speed v in opposite directions.
  3. The rod moves at speed v but the experimenter stays at rest.
  4. The rod stays at rest but the experimenter moves with the speed v.
Question 13 Multiple Choice (Multiple Answers)

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. the mass will become double of the original value
  3. the length will decrease
  4. the mass will increase
Question 14 Multiple Choice (Single Answer)

Imagine an unlikely situation where a cannon fires a cannon ball at $(0.7)c$ (seventy percent of the speed of light) relative to a train to which the cannon is attached. The train is moving at $(0.6)c$ (sixty percent of the speed of light) relative to the ground.
If an observer on the ground measured the speed of the cannon ball relative to the ground, what speed would he measure?

  1. Exactly $c$
  2. $(1.3)c$
  3. $(0.7)c$
  4. $(0.6)c$
  5. Between $(0.7)c$ and $c$
Question 15 Multiple Choice (Single Answer)

An experimenter measures the length of a rod. Initially the experimenter and the rod are at rest with respect to the lab. Consider the following statements.
(A) If the rod starts moving parallel to its length but the observer stays at rest, the measured length will be reduced.
(B) If the rod stays at rest but the observer starts moving parallel to the measured length of the rod, the length will be reduced.

  1. A is true but B is false.
  2. B is true but A is false.
  3. Both A and B are true.
  4. Both A and B are false.
Question 16 Multiple Choice (Single Answer)

An air-bubble rises from the bottom of a long and narrow glass-tube full of glycerine. What happens to the speed of the air-bubble till it comes to the top?

  1. It goes on increasing
  2. It goes on decreasing
  3. It first increases, then moves up with constant velocity
  4. The speed remains the same throughout
Question 17 Multiple Choice (Single Answer)

Box $1$ and box $2$ are identical when at rest relative to each other. An astronaut floating in intergalactic space sees the two boxes fly by from the astronaut's left to his right. Box $1$ flies by at $(0.8)c(80$% of the speed of light), and box $2$ flies by at $(0.9)c(90$% of the speed of light).
Because of relativistic effects, what is true from the point of view of the astronaut?

  1. Box $2$ is longer and taller than box $1$
  2. Box $2$ is longer and not as tall asbox $1$
  3. Box $1$ is longer and taller than box $2$
  4. Box $1$ is longer and not as tall as box $2$
  5. Box $2$ is shorter and the same height as box $1$

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Clocks and Calendars (428 questions)

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