Q14 of 46 Page 458

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.


More from this chapter

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12

If a person lives on the average 100 years in his rest frame, how long does he live in the earth frame if he spends all his life on a spaceship going at 60% of the speed of light.

 13

An electric bulb, connected to a make and break power supply, switches off and on every second in its rest frame. What is the frequency of its switching off and on as seen from a spaceship travelling at a speed 0.8c?

 15

At what speed the volume of an object shrinks to half its rest value?

 16

A particular particle created in a nuclear reactor leaves a 1 cm track before decaying. Assuming that the particle moved at 0.995c, calculate the life of the particle

(a) in the lab frame and


(b) in the frame of the particle.