The loudness of a sound is inversely proportional to the square of your distance from the source of the sound. If your friend is right next to the speakers at a loud concert and you are four times as far away from the speakers, how does the loudness of the music at your position compare to the loudness at your friend's position?

Question
Asked Oct 2, 2019
36 views

The loudness of a sound is inversely proportional to the square of your distance from the source of the sound. If your friend is right next to the speakers at a loud concert and you are four times as far away from the speakers, how does the loudness of the music at your position compare to the loudness at your friend's position?

check_circle

Expert Answer

Step 1

Let L be the loudness and x be the distance measured from source to the point where the loudness is to be measured.

Write the expression for Loudness in terms of x.

Loc
help_outline

Image Transcriptionclose

Loc

fullscreen
Step 2

Let L1 be the loudness and x1 be the distance from the source at the point the friend is standing, L2 be the loudness and x2 be the distance from the source at the point where we are standing.

Write the relation between x1 and x2.

fullscreen
Step 3

Compare the loudness with the help...

L2
L L
(4x,)
LL
16
help_outline

Image Transcriptionclose

L2 L L (4x,) LL 16

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: The current through each resistor in  if each resistance R = 4.25 kΩ and V = 14.0 V . What is the th...

A: Given that the value of all the resistors is equal and has the value R=4.25kΩ.The circuit is shown b...

question_answer

Q: You measure the electric field strength at points directly above the center of a square plate carryi...

A: We can find the average of electric field as follows Eavg:

question_answer

Q: A jet airliner is moving east at 225 m/s, but experiences a head wind heading north at 50.0 m/s.   b...

A: Given:Velocity of the jet airliner, v1 = 225 m/s toward eastVelocity of wind, v2 = 50 m/s toward nor...

question_answer

Q: Question in pic below.

A: a)The required potential energy of the alpha-radon composition is,

question_answer

Q: A swimmer runs horizontally off a diving board with a speed of 3.22 m/s and hits the water a horizon...

A: Time of flight of the diver can be calculated as follows.

question_answer

Q: An electron is a subatomic particle (m = 9.11 x 10-31 kg) that is subject to electric forces. An ele...

A: The acceleration of the of the electron is,

question_answer

Q: Two long, parallel transmission lines, 4.0 cm apart, carry1.0-A and 3.0-A currents. Find all locatio...

A: Figure shows the two long parallel transmission lines 4 cm apart carrying i1 and i2 currents. Let x ...

question_answer

Q: 24.33   A 12.5-µF capacitor is connected to a power supply that keeps a constant potential differenc...

A: (a)The energy stored in the capacitor before the dielectric slab is inserted is,Substitute the value...

question_answer

Q: A plane travels from Detroit to Seattle WA and back (Seattle is to the West ofDetroit). In both trip...

A: Consider vPA be the velocity of the plane with respect to surrounding air and vAG be the velocity of...