Length contraction (AQA A-Level Physics): Quizzes

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Length contraction
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What is length contraction in special relativity?

Objects appear shorter in motion direction

In which type of frames does length contraction occur?

Inertial frames only

What is the proper length l0l_0 of an object?

Length measured when at rest relative to it

Which formula represents length contraction?

l=l01v2c2l = l_0 \sqrt{1 - \frac{v^2}{c^2}}

Which dimensions are affected by length contraction?

Only length in direction of motion

What happens to contracted length ll as velocity vv approaches cc?

ll decreases towards zero

In the muon experiment, what is the contracted length at v=0.996cv=0.996c with l0=2l_0=2 km?

180 m

In the muon experiment, how many half-lives pass during travel through 180 m?

0.4

What is the expected count rate at detector 2 in the muon experiment (counts per second)?

76

When calculating in special relativity, what should you avoid?

Applying both effects simultaneously

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