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Chapter 36: Q. 11 (page 1058)

Event A occurs at space-time coordinates (300m,2μs).

a. Event B occurs at space time coordinates (1200m,6μs). Could A possibly be the cause of B? Explain.

b. Event C occurs at space time coordinates (2400m,8μs). Could A possibly be the cause of C? Explain

Short Answer

Expert verified

a. yes

b. no

Step by step solution

01

Part (a) Step 1: Given information

We have given, Space-time coordinates of A

(300m,2μs)

Space time coordinates of B

(1200m,6μs)

we have to find the is A possibly be the cause of B.

02

Simplify

The distance between the A and B

∆x=xB-xA∆x=1200m-300m∆x=900m

The time taken from A to B

∆t=tA-tB∆t=6μs-2μs∆t=4μs

then velocity will be

V=∆x∆t=900m4μsV=225×106m/sV<<c

Since speed is less than the speed of light then A will be cause of B.

03

Part (b) Step : Given information

We have given,

Space-time coordinates of A (300m,2μs)

Space-time coordinates of C (2400m,8μs)

we have to find the is A possibly be the cause of C.

04

SImplify

The distance between the A and C

∆x=xB-xA∆x=2400m-300m∆x=2100m

The time taken from A to C

∆t=tA-tB∆t=8μs-2μs∆t=6μs

then velocity will be

V=∆x∆t=2100m6μsV=350×106m/sV>c

It is not possible.

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