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QPage 458: Q7: HC Verma: Concepts of Physics - Volume 2 The Special Theory of Relativity Page 458: Q7 Solution: A person travels by a car at a speed of . It takes exactly 10…

A person travels by a car at a speed of 180 km h−1180 \text{ km h}^{-1}. It takes exactly 10 hours by his wristwatch to go from the station A to the station B. a) What is the rest distance between the two stations? b) How much time is taken in the road frame by the car to go from the station A to the station B?

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**Answer:** (a) Rest distance = 1800 km (b) Time in road frame = 10 hours (essentially unchanged). **Step-by-Step Explanation:** (a) v=180v = 180 km/h = 50 m/s. Proper distance is essentially 1800 km (length contraction negligible). (b) Time in road frame � 10 hours (time dilation negligible at this speed).

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