Synchronized clocks are stationed at regular intervals, a million apart, along a straight line. When the clock next to you reads 12 noon:

(a) What time do you see on the 90thclock down the line?

(b) What time do you observe on that clock?

Short Answer

Expert verified

(a) The time on clock down the line is 11:55 A.M.

(b) The time observed by you on 90thclock is 12 noon.

Step by step solution

01

Given information: 

Given data:

The distance between two adjacent clocks is 1 million km .

02

Determine the time on 90thclock down:

(a)

Write the relation between distance, speed, and time.

t=dc …… (1)

Here, d is the distance, and c is the speed of light 3×108m/s.

Calculate the distance between90thclock and the next clock.

d=90×1millionkm×109m1millionkmd=90×109m

Substitute the value of d and c in the above relation.

t=90×109m3×108m/st=300s×1min60st=5minAsthetimeis5minlessthan12noon,the90thclockdownwillread11:55A.M..Therefore,thetimeon90thclockdownthelineis11:55A.M.

03

Determine the time observed by you on 90thclock down:

(b)

Since, 12 noon is observed on the clock.

Therefore, the time observed by you on90th clock is12noon.

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