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The insignia painted on the side of spaceship is a circle with a line across it at 45° to the vertical. As the ship shoots past another ship in space, with a relative speed of 0.95c, the second ship observes the insignia. What angle does the observed line make to the vertical?
  • a)
    0.31°
  • b)
    1.73°
  • c)
    17.3°
  • d)
    1.31°
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The insignia painted on the side of spaceship is a circle with a line ...
Let L be the length of the line as seen in the first spaceship. The horizontal and vertical extents of the line are each L/√2. In the second ship the horizontal extent is shortened to  while the vertical extent is unchanged. Then

or 
and θ = 17.3°
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Most Upvoted Answer
The insignia painted on the side of spaceship is a circle with a line ...
Let L be the length of the line as seen in the first spaceship. The horizontal and vertical extents of the line are each L/√2. In the second ship the horizontal extent is shortened to  while the vertical extent is unchanged. Then

or 
and θ = 17.3°
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Community Answer
The insignia painted on the side of spaceship is a circle with a line ...
Degrees, creating an X shape.
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The insignia painted on the side of spaceship is a circle with a line across it at 45° to the vertical. As the ship shoots past another ship in space, with a relative speed of 0.95c, the second ship observes the insignia. What angle does the observed line make to the vertical?a)0.31°b)1.73°c)17.3°d)1.31°Correct answer is option 'C'. Can you explain this answer?
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