You are a distance "d" away from a source emitting light waves of amplitude “A". If you move away to distance "4d", what amplitude of waves will you receive there?

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2-1: please help explain why C is correct

You are a distance "d" away from a
source emitting light waves of
amplitude “A". If you move away to
distance “4d", what amplitude of waves
will you receive there?
A. amplitude = A
B. amplitude = A/16
C. amplitude = A/4
%3D
D. amplitude = A/2
E amplitude =2A
Transcribed Image Text:You are a distance "d" away from a source emitting light waves of amplitude “A". If you move away to distance “4d", what amplitude of waves will you receive there? A. amplitude = A B. amplitude = A/16 C. amplitude = A/4 %3D D. amplitude = A/2 E amplitude =2A
Expert Solution
Step 1

if A is the amplitude of the wave, then the intensity I can be given as

A2 α  IAmplitude square is proportional to the intensityI α 1d2    ( d is the distance from the source to the observation point)intensity of the wave at any point is inversely proportional to the square of the distance of seperationI=kd2, k is the proportionality constantI1I2=d22d12d1=d , d2=4 d   (given in this problem)I1I2=16d2d2=16

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