Relativistic Transformation of Velocity and the Relativistic Doppler Effect Practice Questions

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The following physics revision questions are provided in support of the physics tutorial on Relativistic Transformation of Velocity and the Relativistic Doppler Effect. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Relativistic Transformation of Velocity and the Relativistic Doppler Effect tutorials. The Relativistic Transformation of Velocity and the Relativistic Doppler Effect calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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18.4Relativistic Transformation of Velocity and the Relativistic Doppler Effect

Physics Revision Questions for Relativistic Transformation of Velocity and the Relativistic Doppler Effect

1. A particle is moving at 0.8c due right and at a certain point it explodes in two equal daughter particles where one of them moves in the original direction at 0.7c relative to the parent particle. What is the velocity of daughter particle when viewed from a stationary position to the Earth surface?

  1. 0.96c
  2. 1.5c
  3. 0.1c
  4. 0.75c

Correct Answer: A

2. A helium atom is in a galaxy travelling at a velocity of 4.78 × 106 m/s away from the Earth. An astronomer on Earth observes a frequency of 6.52 × 1014 Hz emitted from the helium atom. What frequency of light is really emitted from this helium atom?

  1. 5.18 × 1014 Hz
  2. 4.48 × 1014 Hz
  3. 6.22 × 1014 Hz
  4. 6.82 × 1014 Hz

Correct Answer: C

3. An astronomer is observing a remote galaxy from Earth. Measurements show that the light waves emitted by helium atoms, which normally have a wavelength of 600 nm, are observed from Earth at the new wavelength 500 nm. How fast is the galaxy moving towards or away from us?

  1. 1.66 × 109 m/s
  2. 3.3 × 109 m/s
  3. 3 × 107 m/s
  4. 1.8 × 107 m/s

Correct Answer: D

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