A police car is traveling east at 40.0 m/s along a straight road, overtaking a car ahead of it moving east at 30.0 m/s . The police car has a malfunctioning siren that is stuck at 1000 Hz. (c) What is it behind the police car?

By using vector, the total displacement is 36 km.

We need to know about vectors to solve this problem. Vector has magnitude and also direction. Displacement is included in vector. It can be written as

s = sx i + sy j + sz k

where s is displacement, sx is displacement on x-axis, sy is displacement on y-axis and sz us displacement on z-axis.

From the question above, we know that

east = positive x

west = negative x

s1 = 92i km

s2 = -56i km

Hence, the total displacement is

s = s1 + s2

s = 92i - 56i

s = 36i

Find the magnitude

|s| = √sx²

|s| = √36²

|s| = 36 km

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Answer:

I don't know I can't see can you take a better picture

Small angle approximation is used. Thus, the magnetic dipole displaced from the equilibrium acts as a torsional pendulum only for a small angle.

The angle (measured in radians, degrees, or revolutions) through which a point spins around a particular axis or center is known as the angular displacement of a body. Because a body rotates about its axis, its motion cannot simply be analyzed as a particle because it constantly changes its speed and acceleration (t). It is less complicated to think of a body as rigid while dealing with its rotation. When all of the particle separations remain constant during a body's motion—for instance, when its mass is not flying off—the body is said to be rigid. Realistically, everything is susceptible to deformation, but the effects are little and insignificant.

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At various locations in space and time, a wave's intensity varies.

At various locations in space and time, a wave's intensity varies. A particle is typically thought of as something that exists solely at one location in space. Subatomic "particles" travel like waves and interact like particles according to quantum physics. Because they have varying intensities at various points in space and time, they travel in waves. Because they are made up of a single energy unit that can only be absorbed in a single location, they interact like particles.

What are the characteristics of the mechanical wave?

1. There are only two basic methods for moving energy: the flow of waves and the stream of particles. A wave is a type of physical phenomenon that moves energy but does not matter.

2. Generally speaking, a wave is a continuously moving disturbance of a medium, and that medium can either be a field (such as an electric or gravitational one) or a substance (a solid, a fluid).

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A bigger star has a bigger surface.The ability to emit more light and energy is made possible by the greater surface area.The luminosity of a star is also influenced by temperature.

The radius of star B is nearly 800 times greater than that of star A.

When two stars with a 3000K surface temperature are present.

The star A is about 5% brighter than the star B, which is about 32,000 imes brighter.In light of the fact that brightness is a property of both stars and suns, star B will have a radius that is 800 times greater than star A's.

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If a force f acts on an object as that object moves through a displacement s , the work done by that force equals the scalar product of f and s : w . This is because when the object moves, the force applied to it changes in magnitude and direction.

Therefore, multiplying this change in Force by the distance traveled.

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The electron has the longer wavelength which is option (a) .

As mass of electron is less that the mass of the proton .

From equation (1) it is clear that de Broglie wavelength is inversely proportional to the square root of the mass of the material.

Hence , so de Broglie wavelength of electron will be greater than that of proton.

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The statements which are true about Newton's Third Law force pairs include the following:

Newton's Third Law of Motion states that for every action there is an equal but opposite reaction. This ultimately implies that, in every interaction, there is a pair of forces (force pairs) acting on the two interacting objects.

In Science, force pairs are also referred to as action-reaction pairs, which are forces acting on different object and have the same (equal) magnitude but opposite in direction.

A free body diagram can be defined as a graphical illustration which is typically used to visualize moments, tension, and applied forces that are acting on an isolated or rigid body (object), while using arrows pointing in the direction of these forces.

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Complete Question:

Which of the following statements are true about Newton's 3rd law force pairs? There may be more than one correct answer.

The average speed of the plane is 816 m/s.

We need to know about the average speed to solve this problem. The average speed can be determined as the total distance divided by the total time. It can be written as

v = d / t

where v is average speed, d is distance and t is time.

From the question above, we know that

d1 = d2 = 430 km

v1 = 680 m/s

v2 = 1020 m/s

Because of the distance is the same, we can calculate the average speed as

v = 2d / (t1 + t2)

v = 2.d / (d/v1 + d/v2)

v = 2/(1/v1 + 1/v2)

v = 2/(1/680 + 1/1020)

v = 816 m/s

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Answer:

Ο Α. 300.0 Ω

Explanation:

The equivalent resistance of a circuit that contains four 75.0 Ω  in series combination 300Ω

When two or more resistors are connected between two same points, they are said to be connected in parallel combination(as shown in fig). The equivalent resistance is the reciprocal and the sum of reciprocals of all resistance connected in parallel combination.

1/Rs = 1/R₁ + 1/R₂ + 1/R₃...........+ 1/R(n).

where Rs is the equivalent or total resistance of the circuit.

In parallel combination, same potential difference exists across each resistor. But current through each resistance is different.

When two or more resistors are connected one after other, they are said to be connected in series as shown in figure. in this combination voltage difference across each resistance is different which is given by ohms law. current flowing through each resistance is same.

equivalent resistance for series combination is given by,

R(s) = R₁ + R₂ + R₃...........+R(n).

Given,

R₁ + R₂ = R₃ = R₄ = 75Ω

For series combination,

R(s) = R₁ + R₂ + R₃+R₄

R(s) = 75+75+75+75

R(s) = 300 Ω

Hence option A is correct.

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Then step off and then throw to the base where the infraction occurred. There is no need to tell an umpire what you are appealing the players have a greater change of hitting a home run.

In baseball, a home run (abbreviated HR) is scored when the batter is able to safely round the bases and get to home plate in one play without any errors from the opposing team's defense. Typically, a home run is obtained by launching the ball over the outfield fence in between the foul poles (or by striking either foul pole) without allowing it to touch the field. A much less frequent type of home run is one that occurs "within the park," in which the batter makes it safely home while the ball is still in play on the field.

A hit, a run scored, and a run batted in (RBI) are all given to the batter when a home run is hit.

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Total magnetic field at the point P midway between the wires is Zero.

The higher wire's contribution to the magnetic field at point P is directed into the page, whereas the lower wire's contribution is directed out of the page. These two oppositely directed contributions to the magnetic field have identical magnitudes and cancel each other out since point P is equally spaced from the two wires and the currents flowing through them are of equal magnitude.

The term "magnitude" refers to an object's greatest size and direction. Scalar and vector quantities both use magnitude as a common factor. We are aware that scalar quantities are those that have just magnitude by definition. Those quantities with both magnitude and direction are considered vector quantities. It can also be used to describe how far an object has travelled or how much an object weighs in terms of its magnitude.

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The magnitude of their relation compares by the given relation E_A= E_B  > 0 (c) when two solid spheres, both of radius 5cm, carry identical total charges of 2 μC, given that Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume

Both spheres produce identical fields at the outer locations, much like particles do at the cores, due to the spherically symmetric charge distributions. However, the magnitude of the electric field in charge A is equal to the magnitude of the electric field in charge B greater than zero.

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The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. The Pythagorean equation, which is typically used to express this theorem, can be expressed as an equation linking the lengths of the legs (a, b), and the hypotenuse (c):

There are several ways to generalize the theorem, including to higher-dimensional spaces, non-Euclidean spaces, objects other than right triangles, and even things that are not triangles at all but n-dimensional solids. The Pythagorean theorem has garnered interest outside of mathematics as a representation of mathematical mystique, power, or obscurity; there are numerous references to it in popular works of fiction, dramas, musicals, songs, stamps, and cartoons.

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150m far the car travel during this time.

The rate at which the speed and direction of a moving object vary over time is called acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Acceleration is a vector quantity since it has both a magnitude and a direction. The velocity vector change during a time interval divided by the time interval is the definition of acceleration. The limit of the ratio of the change in velocity over a given time interval to the time interval, as the time interval approaches zero, determines the instantaneous acceleration (at a specific time and location).

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A tone with 20 crests can be heard coming from the stands, each of which is spaced out in time by 0.004s.

A crest, or the object carried on top of the helm, is a part of a heraldic display. Crests were originally decorative sculptures worn by knights during tournaments and, to a lesser extent, wars; but, until the 16th century, they exclusively consisted of pictures.

A typical heraldic achievement consists of the shield, the helm, the crest, and the base of the crest, which is encircled by a circlet of twisted fabric known as the torse. The term "crest" is used frequently due to the practice of using the crest and torse separately from the rest of the achievement, which spread during the paper heraldry era.

a) Let the horizontal width of each row of seats be 60cm=0.6m.

Let the speed of sound v= 340m/s

Let's now imagine that the single narrow peak on a graph of air pressure versus time corresponds to our loud, acute sound impulse.

The time it takes the sound impulse to travel from one riser to the next is,

[tex]t=\frac{0.6m}{340m/s}[/tex]

 =0.002s

Let's say there are 20 rows of seating.

You can hear a tone with 20 crests coming from the stands, each one separated in time from the next by,

[tex]\frac{2(0.6m)}{340m/s} =0.004s[/tex]

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Sun exploded 16 years after Tau Ceti.

Considering a scenario in which the Sun is going to explode.

In order to escape the explosion, we depart in a spacecraft with a speed of v = 0.8c.

The star Tau Ceti is 12 life years away.

At the midpoint of the journey, the Sun as well as Tau Ceti explode. at the same instant.

Now, the distance between the Sun and the spacecraft:

L = L(p) √( 1 - (v/c)²)

L = (6 ly) √[1 - (0.8)²] = 3.6 ly

Now, we observe Sun to be flying away from us at a speed of 0.8c whereas the light from the Sun approaches at a speed 1c.  Therefore, the gap between the Sun and the blast of the Sun wave is opened at a speed of 1.8c.

Therefore, the time passed ever since the Sun exploded is:

t = 3.60 ly / 1.80c = 2 years.

Now, we observe Tau Ceti moving toward us at a speed of 0.8c, whereas the light from the blast approaches at a speed of 1c which is only 0.2c faster. Then the gap between the Tau Ceti and its blast wave is 3.60 ly and growing at a speed of 0.2c.

Therefore, the time for which it has been opening is:

t = 3.60 ly/ 0.20c

t = 18 years.

Therefore, Tau Ceti exploded 16 years before the Sun.

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The amplitude of the current at resonant frequency is 5 A

R L C is acronym representing Resistor Inductor and Capacitor. A circuit containing Resistor, Inductor, and Capacitor is called R L C circuit. The connection of the circuit can be in series or in parallel;

For connection in series, like we have the end of the connection point of the resistor marks the beginning of the connection point of the inductor and the end of the inductor marks the beginning of the connection point for the capacitor. The sequence of the connection may not be exactly R L C however connection of the three components end to end represents the R L C series connection

Given  values:

L=20.0mH,

C=100 nF,

R=20.0 Ω ,

ΔVmax = 100V

I = ΔVmax  / R

I = 100 / 20

I = 5.0 Amp

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The ball  that is thrown into the air with a velocity of 44 ft/s, its height in feet t seconds later is given by the following equation:

y=46 ft/s * t - (32.17 ft/s² * t²/2)

The height in (ft) at a time (t) of a body that has been thrown with a certain velocity and is in vertical motion is given by the following equation:

y = vi * t - (g* t²/2)

Where:

Information about the problem:

Applying the height formula we get:

y = vi * t - (g* t²/2)

y = 46 ft/s * t - (32.17 ft/s² * t²/2)

It is the movement described by an object that has been thrown vertically upwards in which the height and the effect of the force of the earth's gravity on the thrown object are considered.

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Answer:

1.65 m = 165 cm = 1650 mm

Explanation:

Hope this helps :)

Answer:

1.65 m = 165cm

1.65 m = 1,650mm

Explanation:

1.65 m = 165cm

    for converting m to cm ▶ meters×100 ▶ 1.65×100=165cm

1.65 m = 1,650mm

    for converting m to mm ▶ meters×1,000 ▶ 1.65×1,000=1,650mm

Hope it helps!!!

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The force on the wire will be

F = 3.16 Newton

We have a current carrying wire in a uniform magnetic field.

We have to determine the magnitude of the magnetic force on the wire assuming the angle between the magnetic field and the current is 60.0°.

The force on the current carrying wire will be -

F = IBL sinθ

According to the question, we have -

L = 2.80 m

I = 5 A

B = 0.39 T

Therefore -

F = IBL sinθ

F = 5 x 0.39 x 2.80 x sin(120)

F = 5.46 x sin(120)

F = 5.46 x 0.58

F = 3.16 Newton

Hence, the force on the wire will be

F = 3.16 Newton

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The magnitude of the magnetic force on the wire 4.728 N.

To find the magnetic force, the values given are:

Length A = 2.80m

Current I = 5 A

Magnetic field B = 0.390 T

Angle = 120° .

What is meant by magnetic force?

                      F =iBLsinθ Newton

Substituting the values given,

Magnetic force,

F = 5 A × 0.390 T × 2.80 m × Sin 120°

  = 5 A × 0.390 T × 2.80 m × 0.8660254

F = 4.728 N.

The magnitude of the magnetic force on the wire 4.728 N.

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The Michelson-Morley test set out to test whether or not or not the ether becomes an absolute reference body by measuring the velocity of light with admire to the shifting Earth. It became hypothesized that the rate of light ought to alternate with a change within the Earth's velocity across the solar.

The outcomes of the Michelson-Morley experiment found no interference styles which means that the velocity of light is equal in a vacuum. This brought about the realization that mild does now not require any medium to travel. The results of the Michelson-Morley experiment supported Einstein's principle of unique relativity.

It turned into hypothesized that the rate of mild ought to trade with a change in the Earth's pace around the sun. however, no such exchange in velocity of light turned into observed and this became called the null result. Michelson and Morley were capable of degree the velocity of light by means of seeking out interference fringes among the mild which had surpassed via the 2 perpendicular palms of their equipment.

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Vania is correct in her saying that 25 meters per second is speed as in 25 meter per seconds nothing represents the direction in which the speed is pointing.

Speed is a physical quantity that represents the change in distance per unit time it is a scalar quantity and its SI unit is meter per second. Speed only has magnitude but does not have direction.

Velocity is a physical quantity that represents the change in displacement per unit time it is electric quantity and its SI unit is meter per second. Velocity has both magnitude and direction.

Given:

The physical quantity is 25 meters per second.

According to the question Shakib points out that 25 meters per second is velocity, but Shakib is wrong in saying so as in 25 meters per second nothing represents the direction of this quantity.

Here from the given data we can only know the magnitude of the physical quantity but not wear it is pointing towards to.

On the other hand one ya says that 25 m per second is a physical quantity that represents speed and her reasoning is that 25 m per second gives the magnitude as well as the SI units of speed and do not point out in a particular direction therefore the quantity must be speed.

Hence, Vania is correct in her saying that 25 meters per second is speed as in 25 meter per seconds nothing represents the direction in which the speed is pointing.

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Answer: I would say that the answer to your question is "Nature"

Explanation: Everything that you've listed is related to nature.

A bulb that consumes 25 A of current is separated from a dc power source by a span of 250 feet. Calculate the amount of power lost in the cable if 14 AWG wire is used (keep in mind that two wires are required for a total length of 500 ft).

The answer is 34%, according to the Energy Information Administration (EIA). In other words, by the time the power reaches the consumer metre, 66% of the raw energy needed to generate it has been lost.

The biggest televisions in particular might be the most energy-hungry of all entertainment devices, according to Brian Horne, Senior Insights & Analytics Consultant, Energy Saving Trust. Regardless of its energy rating, a television will use more energy the bigger it is.

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The pitch of the helical path of positron is, [tex]p=1.038 \times 10^{-4}[/tex]

The radius of a circular arc that most closely resembles the curve at a given point on a projectile's trajectory is the radius of the trajectory, which reveals the direction in which the projectile is curving at that particular location.

Given:

Magnitude of magnetic field, [tex]B=0.150\;T[/tex]

Speed of position, [tex]v=5 \times 10^{6}\;m/s[/tex]

Angle, [tex]\;\theta=85^{\circ}[/tex]

The motion of the particle is expected to be a helix.

(a)

We know that,

[tex]Pitch,\;p=V_{11} \times T[/tex]

Where,

[tex]V_{11}=parallel\;velocity\;to\;magnetic\;field[/tex]

[tex]T=Time\;period=\frac{2 \times \pi \times m}{q \times B}[/tex]

[tex]Mass\;of\;positron,\;m=9.1 \times 10^{-31}\;kg\\[/tex]

[tex]Change\;of\;positron,\;q=+1e=1.6 \times 10^{-19}\;kg[/tex]

Substitute the known values in pitch equation,

[tex]p=Vcos\theta\frac{2\times \pi \times m}{q\times B}[/tex]

[tex]p=(5\times 10^{6)} cos85^{\circ}\;\frac{2\times \pi \times 9.1 \times 10^{-31} }{1.6 \times 10^{-19} \times 0.150}[/tex]

By solving the above equation, we get

[tex]p=1.038 \times 10^{-4}[/tex]

Therefore,

[tex]p=1.038 \times 10^{-4}[/tex]

(b)

We know that,

[tex]Radius\;of\;trajectory,\;r=\frac{m \times V_{1} }{q \times B}[/tex]

Where,

[tex]V_{1}=perpendicular\;velocity\;to\;magnetic\;field[/tex]

[tex]m=mass\;of\;positron=9.1 \times 10^{-31} \;kg[/tex]

[tex]q=charge\;of\;positron=+1e=1.6 \times 10^{-19}\;kg[/tex]

Substitute the known values in the radius of trajectory equation,

[tex]Radius\;of\;trajectory,\;r=\frac{m}{q \times B}\;(Vsin\theta)[/tex]

[tex]Radius\;of\;trajectory,\;r=\frac{9.1 \times 10^{-31} \times 5 \times 10^{6} \times sin85^{\circ}}{1.6 \times 10^{-19} \times 0.150}[/tex]

By solving the above equation, We get,

[tex]r=1.88 \times 10^{-4} \;m[/tex]

Therefore, The radius of the trajectory is,

[tex]r=1.88 \times 10^{-4} \;m[/tex]

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The total distance of the student is 37 m. The total displacement of the student is 7 m south.

The distance of an object is the total space covered by the object. It is scalar quantity because it has only magnitude with no direction.

The total distance covered by the student is calculated as follows;

distance  = 15 m + 7 m + 15 m

distance = 37 m

The displacement of an object is the change in the position of the object. Displacement is vector quantity because it has both magnitude and direction.

The displacement of the student is calculated as follows;

displacement = space between the 15 m west and 15 meter east = 7 m south.

Thus, the total distance of the student is 37 m. The total displacement of the student is 7 m south.

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Mixture has a final temperature of 3.22 ⁰C

What is specific heat capacity ?

Scientifically, specific heat capacity is the quantity of heat (J) absorbed by a material when its temperature increases 1 K (or 1 °C) per unit mass, expressed as J/(kg K) or J/(kg °C).

Q = mCΔT

Ft is the final temperature. It is, however, important to note that ice absorbs heat during the melting and cooling processes, and as such, it does not lose heat to or from the surrounding environment; hence, it conserves energy.

75g of heat rejected by ice = 825g of heat absorbed by water

m(ice)[C(ice) [LH(ice) + C(water)(ΔT)] = C(water) m(water) (ΔT)

So, 75x [ 333.5 + 4.187(Ft - 0)]= 285 x 4.187 x (25 - Ft)

333.5 + 4.187Ft = 3.8 x 4.187 (25-Ft)

333.5 + 4.187Ft = 397.765 -15.9106Ft

20.1Ft =64.265

Ft = 3.22 ⁰C

Therefore, Mixture has a final temperature of 3.22 ⁰C

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The speed of the electron is 0.98c, given that the rest energy of an electron is 0.511MeV and the rest energy of a proton is 938MeV, with both particles having kinetic energies of 2.00MeV.

A particle's total energy and the rest energy follow the laws of physics and the theory of relativity. The energy of any particle is equal to mass times the speed of the light-squared relatively.

Where;  E=γ.〖mc〗^2

γ is the ratio of total energy to rest energy of the particle.

m_0 is known as the rest mass of the particle.

Rest energy can be written as: E_0=〖m_0 c〗^2

γ=K/E_0 +1    (1)

γ=1/(√1-v^2/c^2 )     (2)

Putting the values of the electron energy into equation (1):

γ=2.00MeV/0.511MeV+1

γ= 3.91 + 1

γ=4.91

From equation (2),

γ=1/(√1-v^2/c^2 )

Squaring both sides of the equation,

γ^2=1/(1-v^2/c^2 )

1/γ^2 =1-v^2/c^2  

v^2/c^2 =1-1/γ^2  

v/c=√1-1/γ^2    

Making v subject of the formula,

v=√1-1/γ^2 ×c    (3)

Inserting the values in the equation,

v=√1-1/〖4.91〗^2 ×c

v=√1-1/24.11×c

v=√0.959×c

v=0.98×c

v=0.98c

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The interference pattern that you you see on the interior surface of the cylinder is (a) bright and dark fringes so closely spaced as to be indistinguishable

Young's double slit experiment is the experiment performed in 1801 by Thomas Young to prove that light is a wave.

Since you are performing Young's double-slit experiment with the slit separation slightly smaller than the wavelength of the light and as a screen, you use a large half-cylinder with its axis along the midline between the slits.

Now, we know that the interference pattern of a Young's double slit experiment is as a result of diffraction.

Interference pattern is the pattern observed due to the vectorial combination of waves

Diffraction is the property of a wave in which a wave spreads out as it passes through an opening.

Now, we know that diffraction occurs when a wave goes through an aperture or opening smaller than its wavelength.

Now, the smaller the opening compared to the wavelength of the wave, the more the diffraction you would observe bright and dark fringes so closely spaced as to be indistinguishable.

So, the interference pattern that you you see on the interior surface of the cylinder is (a) bright and dark fringes so closely spaced as to be indistinguishable

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