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
grigory [225]
3 years ago
7

A student uses an audio oscillator of adjustable frequency to measure the depth of a water well. The student reports hearing two

successive resonances at 53.95 Hz and 59.00 Hz. (Assume that the speed of sound in air is 343 m/s.)
(a) How deep is the well?
(b) How many antinodes are in the standing wave at 53.95 Hz?
Physics
1 answer:
katrin [286]3 years ago
4 0

Answer:

a)     L = 33.369 m , b) 21

Explanation:

The analysis of the ocean depth can be performed assuming that at the bottom of the ocean there is a node and the surface must have a belly, so the expression for resonance is

         λ = 4 L / n

         n = 1, 3, 5, ...

The speed of the wave is

         v = λ f

        v = 4L / n f

        L = n v / 4f

Let's write the expression for the two frequencies

       L = n₁ 343/4 53.95

       L = n₁ 1,589

       

       L = n₂ 343/4 59

       L = n₂ 1.4539

Let's solve the two equations

       n₁ 1,589 = n₂ 1,459

       n₁ / n₂ = 1.4539 / 1.589

       n₁ / n2 = 0.91498

Since the two frequencies are very close the whole numbers must be of consecutive resonances, let's test what values ​​give this value

  n₁    n₂    n₁ / n₂

  1      3       0.3

  3     5       0.6

  5     7        0.7

  7     9        0.77

  9    11        0.8

  17   19       0.89

  19  21        0.905

  21  23       0.913

  23 25       0.92

Therefore the relation of the nodes is n₁ = 21  and n₂ = 23

Let's calculate

                L = n₁ 1,589

                L = 21  1,589

                L = 33.369 m

b) the number of node and nodes is equal therefore there are 21 antinode

You might be interested in
after singing for a few minutes the soloist rejoins the choir a second choir, consist of 90 additional singers then joins in eac
vredina [299]
If the soloist produces "x" decibels and the 10-person choir produces "y" decibels, combined they will produce "x+y" decibels. 

The second choir has 90 additional singers, we base our description on the first choir. If a 10-person choir produces "x+y" decibels, then the 90 person choir produces 10 (x+y) decibels. 
7 0
3 years ago
Manipulate p+x=r to solve for x
Tanzania [10]
X=r-p. Maybe I don't understand, but I am assuming that you need to isolate for X? you simply subtract p from both sides.<span />
4 0
3 years ago
Read 2 more answers
Select the correct answer.
Ad libitum [116K]

Answer:

Acceleration

Explanation:

acceleration because it has magnitude but no direction

8 0
3 years ago
Read 2 more answers
When measuring espresso for a drink, which instrument would give the<br> greatest precision?
Gemiola [76]

How many mL is an espresso?

One shot of espresso is generally about 30–50 ml (1–1.75 oz), and contains about 63 mg of caffeine (3). Important point: The “golden ratio” for espresso is this: a single shot is 30 to 44 mL (1 to 1.5 ounces) of water and 7 grams of coffee

5 0
3 years ago
Select all the statements regarding electric field line drawings that are correct.
Sophie [7]

Answer:

All statement are correct.

Explanation:

1. Electric field lines are the same thing as electric field vectors, electric field are mathematically vectors quantity. These vectors point in the direction in which a positive test charge would move.

2.  Electric field line drawings allow you to determine the approximate direction of the electric field at a point in space. Yes it is correct tangent drawn at any point on these lines gives the direction of electric filed at that point.

3. The number of electric field lines that start or end at a charged particle is proportional to the magnitude of charge on the particle, is a correct statement.

4.The electric field is strongest where the electric field lines are close together, again a correct statement as relative closeness of field lines indicate a stronger strength of electric field.

Hence we can say that all the statement are correct.

7 0
3 years ago
Other questions:
  • 21 of 35 Review A friend of yours is loudly singing a single note at 401 HzHz while racing toward you at 23.0 m/sm/s on a day wh
    10·1 answer
  • Which ocean borders the west coast of this United States
    11·1 answer
  • Which type of bond forms when two or more atoms share electrons?
    5·1 answer
  • Which is an electron dot diagram of an ionic compound?
    7·1 answer
  • A car goes from 4.47 m/s to 17.9 m/s in 3 seconds. calculate the acceleration of the car
    11·2 answers
  • Two stationary positive point charges, charge 1 of magnitude 3.05 nC and charge 2 of magnitude 1.85 nC, are separated by a dista
    11·1 answer
  • A train moves from rest to a speed of 25 m/s in 50.0 seconds. What is its acceleration?
    9·1 answer
  • A proton is released from rest at the origin in a uniform electric field that is directed in the positive x direction with magni
    12·1 answer
  • What is letaral inversion?​
    6·1 answer
  • It is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon. regardless of the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!