The rest distance between Patna and Delhi is 1000 km. A nonstop train travels at 360 km h–1.

(a) What is the distance between Patna and Delhi in the train frame?


(b) How much time elapses in the train frame between Patna and Delhi?



The distance between Patna and Delhi = 1000km

Speed of the train= 360 km h–1 =100 m/s


(a) Distance between the two cities in the train frame d





(b) time elapses in the train frame



To solve for





Change in length = 56 nm


therefore, the distance between Patna and Delhi in the train frame is 56 nm less than 1000 km.


now, actual time taken by train= time = distance/ speed



change in time,


So, the time lapse in the train between Patna and Delhi will be 0.56ns less than


1
1