The length of cruiser is 200 m- If If the cruiser travels at a speed of -32c past a planet- Calculate the length of the cruiser measured by the inhabitants of the planet-

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Question

The length of cruiser is $200 m$ . If If the cruiser travels at a speed of $(\frac{\sqrt{3}}{2}) c$ past a planet. Calculate the length of the cruiser measured by the inhabitants of the planet.

0

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Between

0

and

200 m

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200 m

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Greater than

200 m

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None of the above, since it is impossible to reach the described speed

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Solution

The correct option is E Between $0$ and $200 m$
According to the theory of relativity, the length of objects observed by a moving frame is less as compared to that observed by the rest frame. This is called length contraction.
The planet for the cruiser is a moving frame, and the cruiser itself is rest frame for it. Thus the length of cruiser as observed by observer on planet is less than $200 m$ .

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The length of cruiser is 200m. If If the cruiser travels at a speed of (√32)c past a planet. Calculate the length of the cruiser measured by the inhabitants of the planet.

The length of cruiser is $200 m$ . If If the cruiser travels at a speed of $(\frac{\sqrt{3}}{2}) c$ past a planet. Calculate the length of the cruiser measured by the inhabitants of the planet.