Question 1

The normal mode of a resonating system is sinusoidally disturbed at a frequency $f$. Assume that $\gamma<<f_{0}$, where $f_{0}$ is the normal mode's natural frequency.
-(b) If $f$ is about $30 f_{0}$ ?
A) Roughly zero
B) Roughly $A_{0} / 30$
C) Roughly $A_{0} / 1.4$
D) Roughly $A_{0}$
E) Roughly $1.4 \mathrm{~A}_{0}$
F) Roughly $30 A_{0}$
G) Other (specify)

Accepted Answer

When the frequency of disturbance $f$ is much higher than the natural frequency $f_0$ (in this case, $f = 30f_0$), the system cannot respond effectively to such rapid oscillations. Therefore, the amplitude of the system's response is roughly zero, as it cannot keep up with the high frequency of disturbance.

Question 2

Two stretched strings with the same length but different tensions are both resonating at the same frequency. Which string has the greater number of antinodes?
A) The string with the larger tension.
B) The string with the smaller tension.
C) Both must have the same number of antinodes.

Accepted Answer

The string with the smaller tension will have a lower wave speed, requiring more segments (antinodes) to achieve the same frequency as the string with higher tension.

Question 3

In chapter Q1, we noted that the speed of sound in air depends on the air's temperature (increasing as the square root of the air temperature). Suppose a flute player tunes a flute that has been sitting in a cold automobile. As the flute warms up to room temperature, does it go sharp (A) or flat (B)?
A) Sharp
B) Flat

Accepted Answer

The answer of In chapter Q1, we noted that the...

Question 4

The period $T$ of the fundamental mode of the air in a pipe open at one end and closed at the other is equal to what multiple or fraction of the time $\Delta t$ required for a sound wave to travel from one end of the tube to the other?
A) $T=\Delta t / 4$
B) $T=\Delta t / 2$
C) $T=\Delta t$
D) $T=2 \Delta t$
E) $T=4 \Delta t$

Accepted Answer

The answer of The period $T$ of the fundamental mode...

Question 5

A certain organ pipe is open at both ends. Another pipe of the same length is open at one end and closed at the other. Which will have the lower pitch?
A) The pipe open at both ends.
B) The pipe closed at one end.
C) Both will have the same pitch.
D) It depends on the pipes' diameters.

Accepted Answer

The pipe closed at one end will have a lower pitch because it can only support odd harmonics due to its boundary conditions, leading to a lower fundamental frequency compared to the pipe open at both ends, which supports both even and odd harmonics.

Question 6

Waves from two slits $S$ and $Q$ will destructively interfere and cancel at a point $P$ if the distance between $P$ and $S$ is larger than the distance between $P$ and $Q$ by
A) $\lambda$
B) $n \lambda$ (where $n$ is an integer)
C) $\frac{1}{2} n \lambda$ (where $n$ is an integer)
D) $\left(n+\frac{1}{2}\right) \lambda$ (where $n$ is an integer)
E) Other (specify)

Accepted Answer

Destructive interference occurs when the path difference between two waves is an odd multiple of half wavelengths, i.e., $\left(n+\frac{1}{2}\right) \lambda$, where $n$ is an integer. This ensures that the waves are out of phase by $\pi$ radians (or 180 degrees), leading to cancellation.

Question 7

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen ,
 
-The wavelength of the light increases.
A) increases
B) decreases
C) remains the same

Accepted Answer

When the wavelength of light increases, it means the light is shifting towards the red end of the spectrum, which corresponds to an increase in wavelength.

Question 8

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen ,
 
-The spacing between the slits increases.
A) increases
B) decreases
C) remains the same

Accepted Answer

When the spacing between the slits increases, the diffraction pattern spreads out, causing the fringe spacing to decrease.

Question 9

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen ,
 
- The intensity of the light increases.
A) increases
B) decreases
C) remains the same

Accepted Answer

The answer of Consider a two-slit interference experiment like the...

Question 10

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen ,
 
-The width of the slits increases.
A) increases
B) decreases
C) remains the same

Accepted Answer

The answer of Consider a two-slit interference experiment like the...

Question 11

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen ,
 
-The distance between the slits and the screen increases.
A) increases
B) decreases
C) remains the same

Accepted Answer

As the distance between the slits and the screen increases, the fringe spacing in an interference pattern also increases, leading to a larger distance between the fringes on the screen.

Question 12

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen ,
 
-The value of $n$ increases (careful!).
A) increases
B) decreases
C) remains the same

Accepted Answer

As $n$ increases, the value of $n$ itself increases by definition.

Question 13

Imagine that sound waves with a certain definite wavelength flow through a partially open sliding door. If the door is closed somewhat further (but not shut entirely), the angle through which the sound waves are diffracted
A) Decreases.
B) Increases.
C) Remains the same.
D) Depends on quantities not specified (explain).

Accepted Answer

The diffraction of sound waves increases as the size of the opening decreases relative to the wavelength of the sound. When the door is closed further, making the opening smaller, the sound waves are diffracted more, leading to an increase in the diffraction angle.

Question 14

Imagine that sound waves with a certain definite wavelength flow through a partially open sliding door. If the wavelength of the waves increases, the angle through which the sound waves are diffracted
A) Decreases.
B) Increases.
C) Remains the same.
D) Depends on quantities not specified (explain).

Accepted Answer

When the wavelength of sound waves increases, the amount of diffraction (bending around obstacles) also increases. This means the sound waves will spread out more after passing through the opening, effectively increasing the angle of diffraction.

Question 15

Line waves with wavelength $\lambda$ going through a slit with width a will be diffracted into circular waves with approximately equal amplitude in all forward directions
A) Always
B) Never
C) Only if $\lambda \gg>a$
D) Only if $a>>\lambda$
E) Only if $a=\lambda$

Accepted Answer

When the wavelength $\lambda$ is much greater than the slit width $a$, the wave behaves like a point source, causing the waves to diffract widely in all forward directions.

Question 16

If the two slits in a two-slit interference experiment are so far apart that their diffraction patterns do not overlap, the pattern displayed is consistent with a particle model of light.

Accepted Answer

When the two slits are far apart enough that their diffraction patterns do not overlap, the interference pattern characteristic of wave behavior disappears, and the pattern observed is consistent with a particle model of light, where particles of light (photons) are seen to travel through one slit or the other, but not both.

Question 17

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen
- The wavelength of the light increases.
A) increases
B) decreases
C) remains the same

Accepted Answer

When the wavelength of the light increases, the distance between adjacent dark fringes in the diffraction pattern also increases. This is because the diffraction pattern spreads out more with longer wavelengths.

Question 18

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen
-The intensity of the light increases.
A) increases
B) decreases
C) remains the same

Accepted Answer

The distance between adjacent dark fringes in a diffraction pattern depends on the wavelength of the light and the size of the slit, not on the intensity of the light. Increasing the intensity of the light does not change these physical parameters, so the pattern remains the same.

Question 19

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen
-The width of the slit increases.
A) increases
B) decreases
C) remains the same

Accepted Answer

When the width of the slit increases, the diffraction pattern becomes narrower, meaning the distance between adjacent dark fringes decreases. This is because the diffraction pattern's width is inversely proportional to the slit width.

Question 20

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen
- The distance between the slit and the screen increases.
A) increases
B) decreases
C) remains the same

Accepted Answer

As the distance between the slit and the screen increases, the diffraction pattern spreads out more, causing the distance between adjacent dark fringes to increase.

Quiz 5: Matter Behaves Like Waves Quantum Physics

The normal mode of a resonating system is sinusoidally disturbed at a frequency $f$ . Assume that $\gamma<<f_{0}$ , where $f_{0}$ is the normal mode's natural frequency. -(b) If $f$ is about $30 f_{0}$ ?

Two stretched strings with the same length but different tensions are both resonating at the same frequency. Which string has the greater number of antinodes?

The period $T$ of the fundamental mode of the air in a pipe open at one end and closed at the other is equal to what multiple or fraction of the time $\Delta t$ required for a sound wave to travel from one end of the tube to the other?

A certain organ pipe is open at both ends. Another pipe of the same length is open at one end and closed at the other. Which will have the lower pitch?

Waves from two slits $S$ and $Q$ will destructively interfere and cancel at a point $P$ if the distance between $P$ and $S$ is larger than the distance between $P$ and $Q$ by

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The wavelength of the light increases.

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The spacing between the slits increases.

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , - The intensity of the light increases.

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The width of the slits increases.

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The distance between the slits and the screen increases.

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The value of $n$ increases (careful!) .

Imagine that sound waves with a certain definite wavelength flow through a partially open sliding door. If the door is closed somewhat further (but not shut entirely) , the angle through which the sound waves are diffracted

Imagine that sound waves with a certain definite wavelength flow through a partially open sliding door. If the wavelength of the waves increases, the angle through which the sound waves are diffracted

Line waves with wavelength $\lambda$ going through a slit with width a will be diffracted into circular waves with approximately equal amplitude in all forward directions

If the two slits in a two-slit interference experiment are so far apart that their diffraction patterns do not overlap, the pattern displayed is consistent with a particle model of light.

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen - The wavelength of the light increases.

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen -The intensity of the light increases.

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen -The width of the slit increases.

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen - The distance between the slit and the screen increases.

Quiz 5: Matter Behaves Like Waves Quantum Physics

The normal mode of a resonating system is sinusoidally disturbed at a frequency fff . Assume that γ<<f0\gamma<<f_{0}γ<<f0​ , where f0f_{0}f0​ is the normal mode's natural frequency. -(b) If fff is about 30f030 f_{0}30f0​ ?

Two stretched strings with the same length but different tensions are both resonating at the same frequency. Which string has the greater number of antinodes?

The period TTT of the fundamental mode of the air in a pipe open at one end and closed at the other is equal to what multiple or fraction of the time Δt\Delta tΔt required for a sound wave to travel from one end of the tube to the other?

A certain organ pipe is open at both ends. Another pipe of the same length is open at one end and closed at the other. Which will have the lower pitch?

Waves from two slits SSS and QQQ will destructively interfere and cancel at a point PPP if the distance between PPP and SSS is larger than the distance between PPP and QQQ by

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The wavelength of the light increases.

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The spacing between the slits increases.

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , - The intensity of the light increases.

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The width of the slits increases.

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The distance between the slits and the screen increases.

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The value of nnn increases (careful!) .

Imagine that sound waves with a certain definite wavelength flow through a partially open sliding door. If the door is closed somewhat further (but not shut entirely) , the angle through which the sound waves are diffracted

Imagine that sound waves with a certain definite wavelength flow through a partially open sliding door. If the wavelength of the waves increases, the angle through which the sound waves are diffracted

Line waves with wavelength λ\lambdaλ going through a slit with width a will be diffracted into circular waves with approximately equal amplitude in all forward directions

If the two slits in a two-slit interference experiment are so far apart that their diffraction patterns do not overlap, the pattern displayed is consistent with a particle model of light.

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen - The wavelength of the light increases.

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen -The intensity of the light increases.

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen -The width of the slit increases.

Consider an experiment where we send monochromatic light to a distant screen through a single narrow slit. The distance between adjacent dark fringes in the diffraction pattern displayed on the screen - The distance between the slit and the screen increases.

The normal mode of a resonating system is sinusoidally disturbed at a frequency $f$ . Assume that $\gamma<<f_{0}$ , where $f_{0}$ is the normal mode's natural frequency. -(b) If $f$ is about $30 f_{0}$ ?

The period $T$ of the fundamental mode of the air in a pipe open at one end and closed at the other is equal to what multiple or fraction of the time $\Delta t$ required for a sound wave to travel from one end of the tube to the other?

Waves from two slits $S$ and $Q$ will destructively interfere and cancel at a point $P$ if the distance between $P$ and $S$ is larger than the distance between $P$ and $Q$ by

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The value of $n$ increases (careful!) .

Line waves with wavelength $\lambda$ going through a slit with width a will be diffracted into circular waves with approximately equal amplitude in all forward directions