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A car of rest length 5m  passes through a garage of rest length 4m. Due to the relativistic lorentz contraction, the car is only 3 long in length in the garage’s rest frame. There are doors on both ends of the garage, which open automatically when the front of the car reaches them and close automatically when the rear passes them. The opening or closing of the doors requires a negligible amount of time.
Which of the following is the best response to the question : “was the car ever inside the closed garage”
  • a)
    No, because the car is longer than the garage in all reference frames
  • b)
    Yes, because the car is shorter than the garage in all frames. 
  • c)
    No, because the lorentz contraction is not a “real” effect
  • d)
    There is no unique answer, as the order of door openings and closings depends on the reference frame
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A car of rest length 5m passes through a garage of rest length 4m. Due...
The order of the door opening depends on which reference frame one is in
own frame            other’s    frame
Length of car         5m         3m
length of garage    4m         2.4m
So, the car fits in the garage’s frame (the car is 3m  and the garage is 4m). But in its own frame, the car is much longer to fit in the garage (car is 5m  and the garage is only 2.4m)
Both the frames give different answers.
The correct answer is: There is no unique answer, as the order of door openings and closings depends on the reference frame
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A car of rest length 5m passes through a garage of rest length 4m. Due to the relativistic lorentz contraction, the car is only 3mlong in length in the garage’s rest frame. There are doors on both ends of the garage, which open automatically when the front of the car reaches them and close automatically when the rear passes them. The opening or closing of the doors requires a negligible amount of time.Which of the following is the best response to the question : “was the car ever inside the closed garage”a)No, because the car is longer than the garage in all reference framesb)Yes, because the car is shorter than the garage in all frames.c)No, because the lorentz contraction is not a “real” effectd)There is no unique answer, as the order of door openings and closings depends on the reference frameCorrect answer is option 'D'. Can you explain this answer?
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A car of rest length 5m passes through a garage of rest length 4m. Due to the relativistic lorentz contraction, the car is only 3mlong in length in the garage’s rest frame. There are doors on both ends of the garage, which open automatically when the front of the car reaches them and close automatically when the rear passes them. The opening or closing of the doors requires a negligible amount of time.Which of the following is the best response to the question : “was the car ever inside the closed garage”a)No, because the car is longer than the garage in all reference framesb)Yes, because the car is shorter than the garage in all frames.c)No, because the lorentz contraction is not a “real” effectd)There is no unique answer, as the order of door openings and closings depends on the reference frameCorrect answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A car of rest length 5m passes through a garage of rest length 4m. Due to the relativistic lorentz contraction, the car is only 3mlong in length in the garage’s rest frame. There are doors on both ends of the garage, which open automatically when the front of the car reaches them and close automatically when the rear passes them. The opening or closing of the doors requires a negligible amount of time.Which of the following is the best response to the question : “was the car ever inside the closed garage”a)No, because the car is longer than the garage in all reference framesb)Yes, because the car is shorter than the garage in all frames.c)No, because the lorentz contraction is not a “real” effectd)There is no unique answer, as the order of door openings and closings depends on the reference frameCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car of rest length 5m passes through a garage of rest length 4m. Due to the relativistic lorentz contraction, the car is only 3mlong in length in the garage’s rest frame. There are doors on both ends of the garage, which open automatically when the front of the car reaches them and close automatically when the rear passes them. The opening or closing of the doors requires a negligible amount of time.Which of the following is the best response to the question : “was the car ever inside the closed garage”a)No, because the car is longer than the garage in all reference framesb)Yes, because the car is shorter than the garage in all frames.c)No, because the lorentz contraction is not a “real” effectd)There is no unique answer, as the order of door openings and closings depends on the reference frameCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A car of rest length 5m passes through a garage of rest length 4m. Due to the relativistic lorentz contraction, the car is only 3mlong in length in the garage’s rest frame. There are doors on both ends of the garage, which open automatically when the front of the car reaches them and close automatically when the rear passes them. The opening or closing of the doors requires a negligible amount of time.Which of the following is the best response to the question : “was the car ever inside the closed garage”a)No, because the car is longer than the garage in all reference framesb)Yes, because the car is shorter than the garage in all frames.c)No, because the lorentz contraction is not a “real” effectd)There is no unique answer, as the order of door openings and closings depends on the reference frameCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
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