Wave Motion
Q. A sound wave travels at 340 m/s. If its frequency is 170 Hz, what is its wavelength?
A.
0.5 m
B.
1 m
C.
2 m
D.
3 m
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Solution
Using the wave equation v = fλ, we can find λ = v/f = 340/170 = 2 m.
Correct Answer: B — 1 m
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Q. A sound wave travels at a speed of 340 m/s in air. If its frequency is 1700 Hz, what is its wavelength?
A.
0.2 m
B.
0.5 m
C.
1.0 m
D.
2.0 m
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Solution
Using the wave equation v = fλ, we can find the wavelength: λ = v/f = 340 m/s / 1700 Hz = 0.2 m.
Correct Answer: B — 0.5 m
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Q. A sound wave travels at a speed of 340 m/s in air. What is the wavelength of a sound wave with a frequency of 680 Hz?
A.
0.5 m
B.
1 m
C.
2 m
D.
4 m
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Solution
Using the wave equation v = fλ, we can find the wavelength: λ = v/f = 340 m/s / 680 Hz = 0.5 m.
Correct Answer: B — 1 m
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Q. A sound wave travels at a speed of 340 m/s. If its frequency is 170 Hz, what is its wavelength?
A.
0.5 m
B.
1 m
C.
2 m
D.
3 m
Show solution
Solution
Using the wave equation v = fλ, we can find the wavelength: λ = v/f = 340/170 = 2 m.
Correct Answer: B — 1 m
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Q. A sound wave travels in air at a speed of 340 m/s. If the frequency of the sound is 170 Hz, what is the wavelength?
A.
2 m
B.
1 m
C.
0.5 m
D.
0.2 m
Show solution
Solution
Wavelength λ = v/f = 340 m/s / 170 Hz = 2 m.
Correct Answer: A — 2 m
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Q. A sound wave travels in air at a speed of 340 m/s. If the frequency of the sound is 1700 Hz, what is the wavelength?
A.
0.2 m
B.
0.5 m
C.
2 m
D.
1 m
Show solution
Solution
Wavelength λ = v/f = 340 m/s / 1700 Hz = 0.2 m.
Correct Answer: A — 0.2 m
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Q. A sound wave travels in air at a speed of 340 m/s. If the frequency of the sound wave is 1700 Hz, what is its wavelength?
A.
0.2 m
B.
0.5 m
C.
2 m
D.
1 m
Show solution
Solution
Wavelength λ = v/f = 340 m/s / 1700 Hz = 0.2 m.
Correct Answer: B — 0.5 m
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Q. A wave has a frequency of 50 Hz and a wavelength of 2 m. What is its speed?
A.
25 m/s
B.
50 m/s
C.
100 m/s
D.
75 m/s
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Solution
Speed v = f × λ = 50 Hz × 2 m = 100 m/s.
Correct Answer: B — 50 m/s
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Q. A wave has a frequency of 50 Hz and a wavelength of 3 m. What is its speed?
A.
150 m/s
B.
100 m/s
C.
50 m/s
D.
200 m/s
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Solution
Speed v = f × λ = 50 Hz × 3 m = 150 m/s.
Correct Answer: B — 100 m/s
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Q. A wave on a string is described by the equation y(x, t) = 0.1 sin(2πx - 4πt). What is the amplitude of the wave?
A.
0.1 m
B.
0.2 m
C.
0.4 m
D.
1 m
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Solution
The amplitude is the coefficient of the sine function, which is 0.1 m.
Correct Answer: A — 0.1 m
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Q. A wave traveling along a string is described by the equation y(x, t) = A sin(kx - ωt). What is the phase velocity of the wave?
A.
A/k
B.
ω/k
C.
k/ω
D.
Aω
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Solution
The phase velocity v is given by v = ω/k.
Correct Answer: B — ω/k
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Q. A wave travels through a medium with a frequency of 500 Hz and a wavelength of 2 m. What is the speed of the wave?
A.
1000 m/s
B.
250 m/s
C.
500 m/s
D.
2000 m/s
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Solution
The speed of a wave is given by the formula v = fλ, where f is the frequency and λ is the wavelength. Here, v = 500 Hz * 2 m = 1000 m/s.
Correct Answer: A — 1000 m/s
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Q. A wave travels through a medium with a speed of 300 m/s and has a frequency of 150 Hz. What is its wavelength?
A.
1 m
B.
2 m
C.
3 m
D.
4 m
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Solution
Wavelength (λ) can be calculated using the formula λ = v/f. Here, λ = 300 m/s / 150 Hz = 2 m.
Correct Answer: B — 2 m
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Q. A wave travels with a frequency of 500 Hz and a wavelength of 2 m. What is its speed?
A.
250 m/s
B.
1000 m/s
C.
500 m/s
D.
200 m/s
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Solution
The speed of the wave is given by v = fλ. Here, v = 500 Hz * 2 m = 1000 m/s.
Correct Answer: A — 250 m/s
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Q. A wave travels with a speed of 300 m/s and has a frequency of 150 Hz. What is its wavelength?
A.
1 m
B.
2 m
C.
3 m
D.
4 m
Show solution
Solution
Wavelength (λ) can be calculated using the formula λ = v/f. Here, λ = 300 m/s / 150 Hz = 2 m.
Correct Answer: B — 2 m
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Q. If the amplitude of a wave is tripled, how does the energy of the wave change?
A.
Increases by a factor of 3
B.
Increases by a factor of 6
C.
Increases by a factor of 9
D.
Remains the same
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Solution
Energy is proportional to the square of the amplitude, so if amplitude is tripled, energy increases by a factor of 3^2 = 9.
Correct Answer: C — Increases by a factor of 9
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Q. If the amplitude of a wave is tripled, what happens to its energy?
A.
Increases by a factor of 3
B.
Increases by a factor of 6
C.
Increases by a factor of 9
D.
Remains the same
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Solution
The energy of a wave is proportional to the square of its amplitude, so if amplitude is tripled, energy increases by a factor of 3^2 = 9.
Correct Answer: C — Increases by a factor of 9
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Q. If the frequency of a wave is doubled, what happens to its wavelength, assuming the speed of the wave remains constant?
A.
Wavelength doubles
B.
Wavelength halves
C.
Wavelength remains the same
D.
Wavelength quadruples
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Solution
According to the wave equation v = fλ, if frequency (f) is doubled and speed (v) remains constant, the wavelength (λ) must halve.
Correct Answer: B — Wavelength halves
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Q. If the frequency of a wave is doubled, what happens to its wavelength?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
The speed of a wave is given by the product of its frequency and wavelength (v = fλ). If the frequency is doubled, the wavelength must be halved to keep the speed constant.
Correct Answer: B — It halves
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Q. If the speed of a wave in a medium is 300 m/s and its wavelength is 3 m, what is the frequency of the wave?
A.
100 Hz
B.
150 Hz
C.
200 Hz
D.
300 Hz
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Solution
Frequency f = v/λ = 300 m/s / 3 m = 100 Hz.
Correct Answer: B — 150 Hz
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Q. If two waves of the same frequency interfere constructively, what is the result?
A.
A wave of lower amplitude
B.
A wave of higher amplitude
C.
No wave
D.
A standing wave
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Solution
Constructive interference results in a wave of higher amplitude.
Correct Answer: B — A wave of higher amplitude
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Q. If two waves traveling in opposite directions interfere constructively, what is the result?
A.
A smaller amplitude wave
B.
A larger amplitude wave
C.
No wave
D.
A standing wave
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Solution
Constructive interference occurs when two waves meet in phase, resulting in a wave with a larger amplitude.
Correct Answer: B — A larger amplitude wave
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Q. In a standing wave, the points of maximum displacement are called:
A.
Nodes
B.
Antinodes
C.
Crests
D.
Troughs
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Solution
In a standing wave, the points of maximum displacement are called antinodes, while nodes are points of zero displacement.
Correct Answer: B — Antinodes
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Q. In a standing wave, what is the position of the nodes?
A.
Points of maximum amplitude
B.
Points of minimum amplitude
C.
Points of zero displacement
D.
Points of maximum energy
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Solution
Nodes in a standing wave are points where there is no displacement, meaning they are points of minimum amplitude.
Correct Answer: C — Points of zero displacement
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Q. In a wave equation y(x, t) = A sin(kx - ωt), what does 'A' represent?
A.
Wavelength
B.
Frequency
C.
Amplitude
D.
Wave number
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Solution
'A' represents the amplitude of the wave, which is the maximum displacement from the equilibrium position.
Correct Answer: C — Amplitude
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Q. In a wave, if the amplitude is increased, what effect does it have on the energy of the wave?
A.
Energy decreases
B.
Energy remains the same
C.
Energy increases linearly
D.
Energy increases with the square of the amplitude
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Solution
The energy of a wave is proportional to the square of its amplitude, so if the amplitude increases, the energy increases with the square of the amplitude.
Correct Answer: D — Energy increases with the square of the amplitude
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Q. In a wave, if the amplitude is increased, what happens to the energy carried by the wave?
A.
Energy decreases
B.
Energy remains the same
C.
Energy increases linearly
D.
Energy increases with the square of the amplitude
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Solution
The energy carried by a wave is proportional to the square of its amplitude, so if the amplitude increases, the energy increases with the square of that increase.
Correct Answer: D — Energy increases with the square of the amplitude
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Q. In a wave, if the amplitude is increased, what happens to the energy of the wave?
A.
Energy decreases
B.
Energy remains the same
C.
Energy increases
D.
Energy becomes zero
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Solution
The energy of a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy increases.
Correct Answer: C — Energy increases
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Q. What is the effect of increasing tension on the speed of a wave traveling along a string?
A.
Increases speed
B.
Decreases speed
C.
No effect
D.
Depends on the mass
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Solution
Increasing tension in the string increases the speed of the wave.
Correct Answer: A — Increases speed
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Q. What is the effect of increasing the amplitude of a wave?
A.
Increases frequency
B.
Increases speed
C.
Increases energy
D.
Decreases wavelength
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Solution
Increasing the amplitude of a wave increases its energy, as energy is proportional to the square of the amplitude.
Correct Answer: C — Increases energy
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