Special Relativity
Physics ⇒ Modern Physics
Special Relativity starts at 11 and continues till grade 12.
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Define the Lorentz factor (γ) and write its formula.
Describe the twin paradox and explain its resolution.
Describe what is meant by the term 'proper length' in Special Relativity.
Explain the concept of simultaneity in Special Relativity.
A clock on a spaceship moving at 0.9c relative to Earth measures 1 hour. How much time passes on Earth?
A muon created in the upper atmosphere travels at 0.995c and reaches the Earth's surface in 20 μs as measured by an observer on Earth. What is the proper time experienced by the muon?
A particle has a rest mass of 2 kg and moves at 0.6c. What is its relativistic mass? (Use m = m0γ)
A particle moves at 0.6c. What is its Lorentz factor (γ)?
Which of the following best describes the relativity of simultaneity?
(1) All observers agree on the order of events.
(2) Simultaneous events in one frame may not be simultaneous in another.
(3) Time is absolute.
(4) Space and time are independent.
Which of the following is an inertial frame of reference?
(1) A car moving at constant speed on a straight road
(2) A car turning around a corner
(3) A stationary train
(4) Both (1) and (3)
Which of the following is NOT a postulate of Special Relativity?
(1) The speed of light in vacuum is constant for all observers.
(2) The laws of physics are the same in all inertial frames.
(3) Time and space are absolute.
(4) Nothing can travel faster than light.
Which of the following quantities is invariant (remains the same) in all inertial frames according to Special Relativity?
(1) Time interval
(2) Length
(3) Speed of light
(4) Mass
Fill in the blank: The formula for length contraction is L = ______ × √(1 - v²/c²).
Fill in the blank: The phenomenon where moving clocks run slower compared to stationary clocks is called ______.
The speed of light in vacuum is approximately ______ m/s.
Fill in the blank: According to Special Relativity, the momentum of a particle moving at velocity v is given by p = ______.
Length contraction occurs along the direction of motion. True or False?
True or False: According to Special Relativity, no information or matter can travel faster than the speed of light in vacuum.
True or False: According to Special Relativity, the mass of an object increases as its speed approaches the speed of light.
True or False: The laws of physics are different in different inertial frames of reference.
