A person travelling by a car moving at 100 km h–1 finds that his wristwatch agrees with the clock on a tower A. By what amount will his wristwatch lag or lead the clock on another tower B, 1000 km (in the earth’s frame) from the tower A when the car reaches there?
Time taken by the car to reach the tower B from tower A =.
As the frame of wrist watch is moving the wrist watch will lag by
Where , V is velocity of moving object and C is speed of light in vacuum i.e.
And is time in rest frame .
V=
as
using binomial expansion we know we can write
when
Similarly, =
And as we can see the calculated value is too small to make drastic affect that’s why we don’t face any trouble in real life situation.