1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
k0ka [10]
3 years ago
7

The intensity of the sound from a certain source is measured at two points along a line from the source. The points are separate

d by 11.0 m, the sound level is 66.40 dB at the first point and 55.74 dB at the second point. How far is the source from the first point?
Physics
1 answer:
Artemon [7]3 years ago
8 0

Answer:

The source is at a distance of 4.56 m from the first point.

Solution:

As per the question:

Separation distance between the points, d = 11.0 m

Sound level at the first point, L = 66.40 dB

Sound level at the second point, L'= 55.74 dB

Now,

L = 10log_{10}\frac{I}{I_{o}}          

I = I_{o}10^{\frac{L}{10}} = I_{o}10^{0.1L} = 10^{- 12}\times 10^{0.1\times 66.40} = 10^{- 5.36}      

L' = 10log_{10}\frac{I'}{I_{o}}

I' = I_{o}10^{\frac{L'}{10}} = 10^{- 12}\times 10^{0.1\times 55.74} = 10^{- 6.426}        

where

I_{o} = 10^{- 12} W/m^{2}

I = Intensity of sound

Now,

I = \frac{P}{4\pi R^{2}}

Similarly,

I' = \frac{P}{4\pi (R + 11.0)^{2}}

Now,

\frac{I}{I'} = \frac{(R + 11.0)^{2}}{R^{2}}

\frac{10^{- 5.36}}{10^{- 6.426}} = \frac{(R + 11.0)^{2}}{R^{2}}

R ^{2} + 22R + 121 = 11.64R^{2}}

10.64R ^{2} - 22R - 121 = 0

Solving the above quadratic eqn, we get:

R = 4.56 m

You might be interested in
A car travels 90 meters due north in 15 seconds. Then the car
tatyana61 [14]
I got you kid It’s A- 2.5m/sb
6 0
3 years ago
a train travles at a speed of 30m/s. the train starts at an initial position of 1000 meters and travels for 30 seconds. what is
ycow [4]

Answer:

1900 meters

Explanation:

30m/s x 30 second = 900 meters

+ 1000 meters starting position

= 1900meters

5 0
3 years ago
An automobile is sitting on a hill which is 20 m higher than ground level. Find the mass of the automobile if it contains 362,60
mr Goodwill [35]
M= ?
g=9.8 m/s (2)
h=20 m

Eg=362,600 J
Eg/mg

362,600 J/9.8 m/s (2) x 20 m
=1,850 m
6 0
3 years ago
Preston tossed a red ball upward and it reaches a maximum height of 3.0. What is the final velocity when it returns to prestons
Leokris [45]
That will depend on the units of the 3.0. We need to know if it's 3 feet, 3 yards, 3 meters, or 3 miles. Each one will have a different answer.
5 0
3 years ago
A static charge that is produced by a nearby objet is an?
Wittaler [7]
I believe that it is electric field
7 0
3 years ago
Other questions:
  • A professor designing a class demonstration connects a parallel-plate capacitor to a battery, so that the potential difference b
    9·1 answer
  • Ralphie runs north 0.5 km, then turns east and runs 2.0 km, turns south and runs 1.5 km, turns west and runs another 1km. What i
    10·1 answer
  • Given equation is F=mv ×v/R<br> what is the relationship exist between F and R?
    11·1 answer
  • Is it true of false that the slope of a line equals the average speed of the object.
    5·1 answer
  • how do Swati and Banks adjust their body position during a skydiving jump so they can fall at the same rate
    12·1 answer
  • A maser is a laser-type device that produces electromagnetic waves with frequencies in the microwave and radio-wave bands of the
    10·1 answer
  • What is Cognitive Behavioural Therapy?
    7·2 answers
  • If the kinetic energy of a particle is doubled, by what factor has its speed increased?
    11·2 answers
  • A student using a tuning fork of frequency 512 Hz observes that the speed of sound is 340.0 m/s. What is the wavelength of this
    6·1 answer
  • A grape is thrown straight up in the air. If it was thrown at 2 m/s, how high will it go in the air?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!