Chapter 8 #4 Flashcards

(92 cards)

1
Q

Section 1: Basics of Wave Motion

A
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2
Q

Define “wave motion.”

A

A disturbance that passes through a medium, carrying energy from one point to another without the permanent transfer of matter.

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3
Q

Do particles of a medium move with the wave?

A

No; particles vibrate about their fixed equilibrium positions and do not travel with the wave.

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4
Q

What is a “progressive wave”?

A

A wave that transfers energy through a medium or vacuum from one point to neighboring points through vibrations.

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5
Q

What is the primary difference between progressive and stationary waves?

A

Progressive waves transfer energy while traveling through a medium, whereas stationary waves confine energy within a fixed location. Progressive waves feature consistent particle amplitudes, while stationary waves have distinct nodes (zero amplitude) and antinodes (maximum amplitude).

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6
Q

Section 2: Essential Wave Properties

A
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7
Q

Define “displacement” for waves.

A

The distance of any point on a wave from its undisturbed (equilibrium) position.

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8
Q

Define “amplitude (A).”

A

The maximum displacement of any point on the wave from its equilibrium position.

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9
Q

Define “wavelength (λ).”

A

The distance between any two consecutive wavefronts on a wave that are in phase.

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10
Q

Define “frequency (f).”

A

The number of vibrations produced by the source per unit time (Hz).

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11
Q

Define “period (T).”

A

The time taken for one complete vibration.

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12
Q

What is the relationship between frequency and period?

A

f = 1/T.

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13
Q

Define “wave speed (v).”

A

The distance travelled by the wave per unit time (v = fλ).

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14
Q

Section 3: Phase and Wave Graphs

A
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15
Q

What does it mean for two points to be “in phase”?

A

They move in the same direction with the same speed and same displacement.

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16
Q

Define “phase difference.”

A

The fraction of a cycle by which one point moves behind another, measured in degrees or radians.

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17
Q

What is the phase difference between two points 0.5λ apart?

A

180˚ or π radians (Out of phase).

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18
Q

How do you identify wavelength on a displacement-distance graph?

A

The distance between two adjacent peaks.

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19
Q

How do you identify the period on a displacement-time graph?

A

The time interval between two adjacent peaks.

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20
Q

Section 4: Transverse and Longitudinal Waves

A
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21
Q

Define a “transverse wave.”

A

The particles of the medium vibrate perpendicular to the direction of energy transfer (wave propagation).

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22
Q

Define a “longitudinal wave.”

A

The particles of the medium vibrate are parallel to the direction of energy transfer (wave propagation).

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23
Q

What is a compression?

A

A region in a longitudinal wave where particles are closest together (high pressure).

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24
Q

What is a rarefaction?

A

A region in a longitudinal wave where particles are furthest apart (low pressure).

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25
On a displacement-distance graph, what does a negative gradient represent for a longitudinal wave?
A compression.
26
On a displacement-distance graph, what does a positive gradient represent for a longitudinal wave?
A rarefaction.
27
Section 5: The Electromagnetic (EM) Spectrum
28
Nature of EM oscillations?
Oscillating electric and magnetic fields perpendicular to each other and the wave direction.
29
Speed of EM waves in a vacuum?
3.00 × 10^8 m/s.
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Range of Radio waves?
> 10^-1 m.
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Range of Microwaves?
10^-1 m to 10^-3 m.
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Range of Infrared?
10^-3 m to 7 × 10^-7 m.
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Range of Visible light?
7 × 10^-7 m to 4 × 10^-7 m.
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Range of Ultraviolet?
4 × 10^-7 m to 10^-9 m.
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Range of X-rays?
10^-9 m to 10^-12 m.
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Range of Gamma rays?
< 10^-12 m.
37
Order of visible colors (Longest λ to shortest)?
Red, Orange, Yellow, Green, Blue, Indigo, Violet.
38
Which color has the highest energy per photon?
Violet (Highest frequency).
39
Section 6: Polarization & Malus’s Law
40
Define Polarization.
Restricting vibrations to one plane.
41
Can sound be polarized?
No, it is longitudinal.
42
Malus’s Law formula for intensity?
I = I_0 cos² θ.
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Formula for Amplitude after a polarizer?
A = A_0 cos θ.
44
Polarization direction of an EM wave?
The direction of the Electric Field.
45
What happens if θ = 90˚?
I = 0 (Light is blocked).
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What happens if θ = 0˚?
I = I0 (Light passes fully).
47
Polarization of unpolarized light after 1 filter?
Intensity is reduced by half (I0 / 2).
48
Section 7: Intensity and Inverse Square Law
49
Define Intensity.
I = Power / Area.
50
I vs A relationship?
I ∝ A².
51
Inverse Square Law formula?
I ∝ 1/r².
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Why does intensity decrease with distance?
Geometrical spreading and absorption.
53
I at distance r from point source?
I = P / (4π r²).
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Section 8: The Doppler Effect
55
Doppler formula?
fo = fs (\fracvv ± vs).
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Sign for source moving TOWARDS observer?
Minus (-) in the denominator.
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Sign for source moving AWAY from observer?
Plus (+) in the denominator.
58
What happens to λ in front of a moving source?
It decreases (waves bunch up).
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Does v change if the source moves?
No, v depends on the medium.
60
How to solve for vs using two frequencies?
Use the ratio ftoward / faway = (v+vs) / (v-vs).
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Section 9: C.R.O. (Cathode Ray Oscilloscope)
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What is Time Base?
Horizontal scale (time/cm).
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What is Y-Gain?
Vertical scale (voltage/cm).
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Period T from C.R.O.?
Horizontal distance (cm) × Time Base.
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Amplitude from C.R.O.?
Vertical distance from center (cm) × Y-Gain.
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Peak-to-Peak voltage?
Total vertical height × Y-Gain.
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Section 10: Quantitative Worked Examples
68
Speed of sound in Air?
≈ 320-340 m/s.
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Speed of sound in Solids?
≈ 3000-6000 m/s.
70
If frequency is doubled, what happens to v in the same medium?
v remains constant; λ is halved.
71
Calculating λ change in Doppler?
Δ λ = vs / fs.
72
Angle for 50% intensity reduction?
45˚ (\cos² 45 = 0.5).
73
How does a microphone work with a C.R.O.?
Converts sound pressure waves into an electrical signal (voltage).
74
If intensity is halved, what is the new amplitude?
Anew = A0 / \sqrt2 ≈ 0.707 A0.
75
What defines "Out of Phase"?
Phase difference of 180˚ (π rad).
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What stays constant when a wave changes medium?
Frequency.
77
Difference between "Isotropic" and "Point" source?
Isotropic means it radiates energy equally in all directions.
78
Unit of Intensity?
W/m² (Watts per square meter).
79
Derive the Wave Equation from basic speed formulas.
Since Speed = Distance / Time Let distance = λ and time = T. Thus, v = λ/T. Since 1/T = f, then v = fλ.
80
How does pressure behave in transverse vs. longitudinal waves?
In transverse waves, pressure remains constant; in longitudinal waves, pressure varies (higher in compressions, lower in rarefactions).
81
Where is kinetic energy (and speed) maximum in a wave oscillation?
At the equilibrium position (zero displacement).
82
Where is kinetic energy zero in an oscillating wave particle?
At the points of maximum displacement (the amplitude).
83
State the sign convention for particle displacement in a longitudinal wave.
Displacement to the right is positive (+ve); displacement to the left is negative (-ve).
84
Define "time lag."
The time shift of one particle relative to another, expressed in terms of the period T.
85
State the correspondence between path difference, phase difference, and time lag.
The correspondence is: 1. Path difference: 𝜆 2. Phase difference: 2𝜋 radians (or 360°) 3. Time lag: 𝑇 So one full wavelength corresponds to a phase change of 2𝜋 (or 360°) and a time delay of one period.
86
What is the "Doppler effect"?
The observed change in frequency when there is relative motion between a wave source and an observer.
87
If a source moves toward an observer, what happens to the received frequency?
The frequency increases (higher pitch).
88
If a source moves away from an observer, what happens to the received frequency?
The frequency decreases (lower pitch).
89
How do you handle a phase difference calculation if the initial result isn't a provided choice?
You can add or subtract 360^° (or 2π), as waves repeat periodically.
90
What defines the "center of compression" on a displacement-distance graph?
The point with the maximum negative gradient.
91
What defines the "center of rarefaction" on a displacement-distance graph?
The point with the maximum positive gradient.
92
State the Doppler formula for a stationary observer when the source moves towards the observer.
f' = f × v / (v - vs) Where f is the emitted frequency, v is the wave speed in the medium, and vs is the source speed towards the observer (positive when moving towards).