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Chapter 36: Q. 11 (page 1059)

You are standing at x=9.0km.Lightning bolt 1strikes at x=0kmand lightning bolt 2strikes at x=12.0km. Both flashes reach your eye at the same time. Your assistant is standing at x=3.0km. Does your assistant see the flashes at the same time? If not, which does she see first, and what is the time difference between the two?

Short Answer

Expert verified

The difference is40μs.

Step by step solution

01

Given Information

We have given that,

I am standing at x=9.0km

Lightning bolt 1strikes at x=0kmand lightning bolt 2strikes at x=12.0km.Both flashes reach my eye at the same time.

My assistant is standing at x=3.0km.

02

Simplify

Bolt 1is 9.0kmaway, thus the light take 30musto reach me. Bolt 2is 3.0kmaway, thus it will take 10μsto reach me.

Because both flashes hit my eye at the same moment, the occurrence took 20μs.

It takes light from bolt 110μsto reach my assistance and light from bolt 230μsto reach my assistance.

So, she sees the flash from bolt 1at t=10μsand flash from bolt 2at localid="1649506376024" t=50μs.

So, the difference is 40μs.

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