Two in-phase sources of waves are separated by a distance of 3.50 m. These sources produce identical waves that have a wavelength of 5.96 m. On the line between them, there are two places at which the same type of interference occurs (a) Is it constructive or destructive interference, and (b) where are the places located?

Answers

Answer 1

Answer:

(a) It is a destructive interference

(b) The places at which destructive interference occur on the line between the two in-phase sources, are 1.07798 m before and after the two sources

Explanation:

(a) The given parameters are;

The distance between the two in-phase sources, d = 3.50 m

The type of waves produced by the two sources = identical waves

The wavelength of the waves produced by the two sources, λ = 5.96 m

For constructive interference, we have;

d·sin(θ) = m·λ

Where, m = 0, 1, -1, 2, -2, ...

For destructive interference, we have;

[tex]d \cdot sin(\theta) = \left(m + \dfrac{1}{2} \right) \cdot \lambda[/tex]

d·sin(θ) = Δl =

Where, m = 0, 1, -1, 2, -2, ...

Therefore, given that λ > d, for constructive interference

sin(θ) = m·λ/d > 1 for m > 0 which is invalid as the maximum value for sin(θ) = 1

Therefore, the possible interference is destructive interference

(b) For destructive interference, when m = 0, we have;

[tex]3.5 \times sin(\theta) = \left(0 + \dfrac{1}{2} \right) \times 5.96[/tex]

∴ sin(θ) = (5.96/2)/3.5

θ = arcsin((5.96/2)/3.5)

By trigonometry, we have;

tan(θ) = (d/2)/l

Where

l = The location along the line

∴ l = (d/2)/(tan(θ))

By substitution, we have;

l = (3.5/2)/(tan(arcsin((5.96/2)/3.5))) = 1.07798

Therefore, the two locations along the line where there is a destructive are 1.07798 m along the line before and after the two in-phase sources.


Related Questions

What is
Magnetism ?

pls help

Answers

Answer:

A motion produced by electric charge which causes attractive and repulsive forces between objects.

Fishing boats use sonar to locate schools of fish. What characteristic of sound is most important for this application of sonar?
Sound waves reflect off some surfaces
Sound waves diffract around corners
Sound waves interfere when they overlap
Sound waves spread out from a source

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Answer:

A sonar device sends pulses of sound waves down through the water. When these pulses hit objects like fish, vegetation or the bottom, they are reflected back to the surface. The sonar device measures how long it takes for the sound wave to travel down, hit an object and then bounce back up.

HELP ME ANSWER THIS FOR 96 POINTS PLEASE!!

The three modified Atwood's machines shown below have blocks of mass M on a frictionless surface
and hanging from a string. When the blocks are released, they accelerate.

Rank them from smallest to largest and explain why in a short paragraph using the mass terms and force.

Answers

Answer:

Smallest - B

Largest - C

Middle - A

The hanging mass provides the force for accelerating the system.

In case A the force M G accelerates 2 * M

So you have for F = M a     M * g = 2 * M * a    or  a = g / 2

In case B  F = M a         M * g = 3 * M * a        and a = g / 3

In case C   F = 2 * M * g      2 M * g = 3 * M * a      and a = 2 * g / 3      

Rank from smallest to largest force Smallest - B, Middle - A, Largest - C.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Smallest - B

Largest - C

Middle - A

The hanging mass provides the force for accelerating the system.

In case A the force M G accelerates 2 * M

So you have for F = M a     M * g = 2 * M * a    or  a = g / 2

In case B  F = M a         M * g = 3 * M * a        and a = g / 3

In case C   F = 2 * M * g      2 M * g = 3 * M * a      and a = 2 * g / 3  

Rank from smallest to largest force Smallest - B, Middle - A, Largest - C.

To learn more about force refer to the link:

brainly.com/question/13191643

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How can knowing a chemical property such as flammability help you to use a product safely?

Answers

Answer:

When a substance burns, it produces new substances during a chemical change. Therefore, whether or not a substance is flammable is a chemical property. Knowing which substances are flammable helps you to use them safely. Another chemical property is how compounds react to light

Is there a change in speed from when a tennis ball first starts bouncing to when it is near the end of the bounce? How can you tell? No links please!

Answers

Explanation:

The potential energy is stronger at the start of the bounce and when it is near the end bounce the balls accelerated rate will be lower because the force has decreased . Also I love your profile picture miraculous rocks !

A 500N car is pulled up to 20m plank to a flat form 5m above the ground by an effort of 150N parallel to the plank. Calculate Velocity Ratio?

Answers

Answer:

4

Explanation:

Velocity ratio is the ratio of distance moved by effort to the ratio of distance moved by load

Velocity ratio = Distance moved by effort / Distance moved by load

Distance moved by effort = 20m

Distance moved by load = 5m

20m / 5m = 4

what is the best thermal insulator? aluminum copper steel or glass

Answers

Answer:

Copper is a better heat conductor than glass. In general, we think of metals as good conductors. In fact, metals vary widely in their conductivity but, overall, they are better conductors of heat than most liquids and gasses. Other solids also vary in their capability to conduct heat.

Explanation:

The best thermal insulator is glass. The correct option is D.

What is thermal insulator?

The prevention of heat transfer between surfaces that are in thermal contact or within a radiative influence zone is known as thermal insulation.

In addition to using the right item forms and materials, specially engineered technologies or processes can also be used to provide thermal insulation.

The term "thermal insulation" refers to the various ways we try to prevent heat from transferring from one object to another.

These two items could be the inside and outside of exterior walls in residential structures or the hot and cold faces of processing equipment in industrial settings.

Glass has a very small amount of unpaired electrons that are not in use, making it a good electrical insulator. Extremely strong electron interactions hold the atoms of glass together.

Thus, the correct option is D.

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Which of the following combinations would result in the least acceleration?
O 12N and 1.0 kg
O 60N and 2.0 kg
O IN and 0.20 kg
O5N and 0.35 kg

Answers

Answer:

I need to talk to somone about my confusing love life

Explanation:

_______ is responsible for all the genetic material in living things. DNA Codon Anticodon Replication

A. DNA
B. Codon
C. Anticodon
D. Replication

Answers

the answer is A , DNA

The international space station (ISS) orbits the earth with a velocity 7.6 km/s. How much energy is required to lift a payload of 2500 kg from the surface of the earth to the ISS

Answers

Answer:

7.22×10¹⁰ J

Explanation:

From the question given above, the following data were obtained:

Velocity (v) = 7.6 Km/s

Mass (m) = 2500 kg

Energy (E) =?

Next, we shall convert 7.6 Km/s to m/s. This can be obtained as follow:

1 km/s = 10³ m/s

Therefore,

7.6 Km/s = 7.6 Km/s × 10³ m/s / 1 km/s

7.6 Km/s = 7.6×10³ m/s

Finally, we shall determine the energy required as follow:

Velocity (v) = 7.6×10³ m/s

Mass (m) = 2500 kg

Energy (E) =?

E = ½mv²

E = ½ × 2500 × (7.6×10³)²

E = 1250 × 57760000

E = 7.22×10¹⁰ J

Thus, 7.22×10¹⁰ J of energy is required.

Scott is making a chart to show the difference between chemical reactions and nuclear reactions. Which part of his chart is incorrect? Chemical Reaction Nuclear Reaction Line 1 Happens in the nucleus of atoms Happens between atoms Line 2 Forms new compounds Forms new atoms and radioactive particles Line 3 Involves small amounts of energy Involves large amounts of energy

Answers

Answer:

The incorrect part of the chart is;

Line 1

Chemical [tex]{}[/tex] Reaction   [tex]{}[/tex]                                   Nuclear Reaction

Line 1 Happens in the nucleus of atoms   [tex]{}[/tex] Happens between atoms

Explanation:

The given chart can be presented as follows;

  Chemical Reaction [tex]{}[/tex]                               Nuclear Reaction

1. Happens in the nucleus of atoms    [tex]{}[/tex]   Happens Between atoms

2. Forms new compounds [tex]{}[/tex]                     Forms new atoms

3. Involves small amounts of energy [tex]{}[/tex]    Involves large amounts of energy

From the above chart, line 1 is incorrect because a chemical reaction happens between the valence electrons of the reacting atoms while a nuclear reaction is the reaction that takes place between the nucleus of two or more atoms or the nucleus of an atom and a subatomic particle to produce one or more than new nuclide of a new atom with a change in the mass of the nucleus being represented by the large amount of energy in the reaction. Therefore, a nuclear reaction takes place in the nucleus of an atom, forms new atoms and involves large amounts of energy

The correct arrangement is presented as follows;

  Chemical Reaction [tex]{}[/tex]                              Nuclear Reaction

1. Happens Between atoms    [tex]{}[/tex]                Happens in the nucleus of atoms

Pedro uses a bar magnet to pick up a nail. He then touches the tip of the nail to some staples.

Answers

This isn’t a question

Answer:

B) The nail has become a temporary magnet, while the bar magnet remains a permanent magnet.

Explanation:

I hope this helped you ;)

The Drop
How much time would a 4 kg ball take to fall 1.5 meters?

Answers

Answer:

t = 0.553

Explanation:

The mass has nothing to do with an object falling.

Givens

d = 1.5 m

a = 9.8

vi = 0

t = ?

Formula

d = vi * t + 1/2 a t^2

Solution

1.5 = 0 + 1/2 9.81 * t^2

1.5 = 4.905 t^2

1.5/4.905 = t^2

0.3058 = t^2

sqrt(t^2) = sqrt(0.3058)

t = 0.553

About 1/2 a second which is really surprising wouldn't you think?

The Pine Mountain Ski Jump in Michigan is an artificial ski jump and is one of the highest in the world. It is approximately 200 meters high. Calculate the mechanical energy of a 52-kg jumper if halfway down the ski jump, the jumper has both potential and kinetic energy. At this point, the jumper's speed is 28 m/s.

Answers

Answer:

71344 J

Explanation:

From the law of conservation of energy,

Mechanical Energy = Kinetic Energy + Potential Energy

M.E = (mv²/2)+ mgh.................... Equation 1

Where M.E = Mechanical Energy, m = mass, v = Velocity, h = height, g = acceleration due to gravity.

Given: m = 52 kg, v = 28 m/s, h = 100 m (half way down the ski jump)

Constant: g = 9.8 m/s²

Substitute these values into equation 1

M.E = (52×28²/2) + (52×100×9.8)

M.E = 20384+50960

M.E = 71344 J

PLEASE I NEED HELP

Best answer gets BRAINLIEST


A 3.23kg book falls off the top of a 3.01 m bookshelf. What is its kinetic energy right before it hits the ground? ( g= −9.81m/s2 )

Show work please

Answers

Answer:

K= 95.4 J

Explanation:

For this exercise we must use the conservation of mechanical energy.

We set a reference system on the floor.

Starting point. Higher

          Em₀ = U = m g h

Final point. Just before taking the floor

           Em_f = K = ½ m v²

energy is conserved because there is no friction

         Em₀ = Em_f

         mg h = K

         

The height is

        h = y -y₀

                 h = 0- y₀

let's calculate

       K =  3.23 (-9.81)  (-3.01)          

       K= 95.4 J

What is the connection between the x- and y-motions of a projectile?

A. time
B. gravity
C. velocity
D. height

Answers

Answer c, velocity would be the answer.

Which of the following describe an electric motor?
Check all that apply.
A. Uses the interaction between a spinning coil of wire and a magnet
B. Can be powered by a hand crank
c. Changes mechanical energy to electrical enggy
D. Is found in many appliances with moving parts, like a vacuum
cleaner or a blender

Answers

Answer:

C. Changes mechanical energy to electrical

Answer:

A,C and D

Explanation:

ok this is the one i need help with but no
links bc i know its viruses

Answers

Answer:

polar covalent bonding

Explanation:

Water (H2O) is polar because of the bent shape of the molecule. The shape means most of the negative charge from the oxygen on side of the molecule and the positive charge of the hydrogen atoms is on the other side of the molecule. This is an example of polar covalent chemical bonding.

The above person is correct, have a nice day y’all

Give five examples of ways to add steps to your day

Answers

Answer:

go for a walk/run

pace while texting/calling someone

park further away

take the stairs instead of the elevator

get up and get something frequently, or move between rooms frequently

The _________ is the location of tectonic plate movement where an earthquake begins.

Answers

Answer:

Epicenter

Explanation:

The epicenter is the location of tectonic plate movement where an earthquake begins.

Connecting a charged object to the ground creates a way for the charged object to leak that charge into the earth. This is called ?

Answers

Answer:

lightning KILLUAAAA

if the volume of a fixed mass of hydrogen in a container is 30cm³ at a pressure of 50mmHg find the volume of the gas if the pressure is 60mmHg at constant pressure​

Answers

25

Explanation:

P1V1=P2V2 hence 50×30=60v

V=1500÷60

V=25

!!!!URGENT!!!! Which of these does not change with the increase in pressure?

A- Changing the number of particles

B- Changing the volume

C- Change the temperature

D- Changing the states of matter.

Answers

Answer:

a the number of particles

Explanation:

the volume will decrease because the particles are closer

if the particles are closer they generate more heat and thus can change their state of matter

help me which one is the right answer?

Answers

Answer:

The correct option is (b).

Explanation:

The ideal gas law is given by :

[tex]PV=nRT[/tex]

Where

P, V and T are pressure, volume and temperature of the gas

R is gas constant

[tex]V=\dfrac{nRT}{P}[/tex]

If n,R and P are constant,

[tex]V\propto T[/tex]

i.e.

At constant pressure, the volume of a gas is directly proportional to its temperature. Hence, the correct option is (b).

In an experiment, you test whether the number of times you rub a cloth against a balloon changes how long it will stick against the wall. You start by rubbing the balloon 10 times with the cloth and stick it to the wall. You repeat this three times and record your results in a table.

Observation
Number of Times Balloon is Rubbed by Cloth Trial #1 Trial #2 Trial #3
10 6 seconds 20 seconds 20 seconds
What statement best reflects why you should do repeated trials in an experiment? (2 points)

a
Rubbing the balloon against a cloth 10 times produces very different results each time it is repeated.

b
The first trial is right because it is done with new materials that give the best results.

c
The second and third trials were wrong because they were very different from the first trial.

d
You would make a wrong conclusion if it were based on the first trial in the experiment.

Answers

D as the other two are similar so we know the first trial is wrong

what is meaning of phase​

Answers

Answer:

phares

[tex]phares \\ \\ means \: a \: noun \: \\ \\ i \: thnk \: so \: \:[/tex]

It's a distinct stage in a process of change or dev't

If a 6V battery is connected to a light bulb whose resistance is 55,000Ω How much current will flow in the circuit?

Answers

Answer:

Current, I = 0.000109 Amps

Explanation:

Given the following data;

Voltage = 6V

Resistance = 55,000 Ohms

To find the current flowing through the circuit;

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

[tex] V = IR[/tex]

Where;

V represents voltage measured in voltage.

I represents current measured in amperes.

R represents resistance measured in ohms.

Making current the subject of formula, we have;

[tex] I = \frac {V}{R} [/tex]

Substituting into the formula, we have;

[tex] I = \frac {6}{55000} [/tex]

Current, I = 0.000109 Amps

draw the graph of the cooling curve of Naphtalene; hence discuss the cooling curve of Nephtalene​

Answers

Answer:

soory but i cant under stand it proper can explain

a person travelled 350 m east from his home and returns back home an hour has displacement of_?​

Answers

Answer:

vector of zero magnitude

Explanation:

The displacement is a vector magnitude, therefore, in addition to being a module, it has direction and sense.

In this case it moved 350 m and then returned the same 350 m, so the total displacement is zero.

If we draw the vector, one has a directional direction to the right and the other direction to the left, therefore when adding the two vectors gives a vector of zero magnitude

A 50kg block is at rest on the ground.
(a) Draw a diagram of the block and draw in the forces acting on the block (label these forces)
(b) Determine the magnitude and direction of weight of the block and the normal force acting on the block.​

Answers

Answer:

(b) 490 N downwards

Explanation:

(b) Formula : w= mg

m is the mass of the object

g is a gravitational constant (9.8)

w= mg

= 50×9.8

= 490 N downwards

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