Q. A wave has a frequency of 500 Hz and a wavelength of 0.6 m. What is the speed of the wave? (2022)
A.
300 m/s
B.
500 m/s
C.
600 m/s
D.
400 m/s
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Solution
Using the wave equation v = fλ, we find v = 500 Hz * 0.6 m = 300 m/s.
Correct Answer:
A
— 300 m/s
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Q. A wave has a frequency of 60 Hz and a wavelength of 1.5 m. What is its speed? (2022)
A.
90 m/s
B.
60 m/s
C.
40 m/s
D.
30 m/s
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Solution
Speed (v) = frequency (f) × wavelength (λ) = 60 Hz × 1.5 m = 90 m/s.
Correct Answer:
A
— 90 m/s
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Q. A wave has a frequency of 60 Hz and a wavelength of 3 m. What is its speed? (2016)
A.
180 m/s
B.
120 m/s
C.
60 m/s
D.
90 m/s
Show solution
Solution
Speed v = f × λ = 60 Hz × 3 m = 180 m/s.
Correct Answer:
A
— 180 m/s
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Q. A wave has a frequency of 60 Hz and a wavelength of 3 m. What is the speed of the wave?
A.
180 m/s
B.
120 m/s
C.
60 m/s
D.
30 m/s
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Solution
The speed v of a wave is given by v = fλ. Thus, v = 60 * 3 = 180 m/s.
Correct Answer:
B
— 120 m/s
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Q. A wave has a speed of 300 m/s and a frequency of 150 Hz. What is its wavelength? (2022)
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. Therefore, λ = 300 m/s / 150 Hz = 2 m.
Correct Answer:
B
— 2 m
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Q. A wave has a wavelength of 0.5 m and a frequency of 300 Hz. What is its speed? (2020)
A.
150 m/s
B.
300 m/s
C.
600 m/s
D.
1200 m/s
Show solution
Solution
Speed (v) = frequency (f) × wavelength (λ) = 300 Hz × 0.5 m = 150 m/s.
Correct Answer:
A
— 150 m/s
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Q. A wave on a string has a frequency of 10 Hz and a wavelength of 2 m. What is the speed of the wave? (2022)
A.
5 m/s
B.
10 m/s
C.
15 m/s
D.
20 m/s
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Solution
Wave speed v is given by v = fλ. Thus, v = 10 Hz * 2 m = 20 m/s.
Correct Answer:
B
— 10 m/s
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Q. A wave on a string has a frequency of 60 Hz and a wavelength of 0.5 m. What is the speed of the wave? (2021)
A.
30 m/s
B.
60 m/s
C.
120 m/s
D.
15 m/s
Show solution
Solution
Speed (v) = Frequency (f) × Wavelength (λ) = 60 Hz × 0.5 m = 30 m/s.
Correct Answer:
C
— 120 m/s
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Q. A wave on a string has a speed of 50 m/s and a wavelength of 2 m. What is its frequency? (2018)
A.
25 Hz
B.
50 Hz
C.
100 Hz
D.
75 Hz
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Solution
Frequency f = v/λ = 50 m/s / 2 m = 25 Hz.
Correct Answer:
A
— 25 Hz
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Q. A wave on a string is described by the equation y(x, t) = 0.05 sin(2π(0.1x - 5t)). What is the amplitude of the wave?
A.
0.01 m
B.
0.05 m
C.
0.1 m
D.
0.2 m
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Solution
The amplitude of the wave is the coefficient in front of the sine function. Here, the amplitude is 0.05 m.
Correct Answer:
B
— 0.05 m
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Q. A wave pulse travels along a string and reflects off a fixed end. What happens to the wave upon reflection? (2021)
A.
It inverts
B.
It remains unchanged
C.
It doubles in amplitude
D.
It disappears
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Solution
When a wave pulse reflects off a fixed end, it inverts due to the boundary condition at the fixed end.
Correct Answer:
A
— It inverts
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Q. A wave traveling along a string has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2020)
A.
25 m/s
B.
50 m/s
C.
100 m/s
D.
75 m/s
Show solution
Solution
Speed (v) = frequency (f) × wavelength (λ) = 50 Hz × 2 m = 100 m/s.
Correct Answer:
C
— 100 m/s
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Q. A wave travels in a medium with a speed of 300 m/s and has a frequency of 75 Hz. What is the wavelength? (2021)
A.
4 m
B.
2 m
C.
3 m
D.
1 m
Show solution
Solution
Wavelength λ = v/f = 300 m/s / 75 Hz = 4 m.
Correct Answer:
A
— 4 m
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Q. A wave travels through a medium with a speed of 500 m/s and has a wavelength of 2 m. What is its frequency? (2022)
A.
250 Hz
B.
500 Hz
C.
1000 Hz
D.
2000 Hz
Show solution
Solution
Using the wave equation v = fλ, we can find frequency f = v/λ = 500 m/s / 2 m = 250 Hz.
Correct Answer:
A
— 250 Hz
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Q. A wave travels through a medium with a speed of 500 m/s and has a wavelength of 5 m. What is its frequency? (2021)
A.
100 Hz
B.
50 Hz
C.
200 Hz
D.
250 Hz
Show solution
Solution
Frequency (f) = speed (v) / wavelength (λ) = 500 m/s / 5 m = 100 Hz.
Correct Answer:
A
— 100 Hz
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Q. A wave travels with a speed of 300 m/s and has a frequency of 150 Hz. What is the wavelength? (2020)
A.
2 m
B.
1.5 m
C.
3 m
D.
0.5 m
Show solution
Solution
Wavelength (λ) = Speed (v) / Frequency (f) = 300 m/s / 150 Hz = 2 m.
Correct Answer:
A
— 2 m
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Q. A wave travels with a speed of 340 m/s and has a frequency of 170 Hz. What is its wavelength? (2022)
A.
2.0 m
B.
1.0 m
C.
0.5 m
D.
3.0 m
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Solution
Wavelength λ = v/f = 340 m/s / 170 Hz = 2.0 m.
Correct Answer:
A
— 2.0 m
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Q. If the amplitude of a simple harmonic oscillator is increased, what happens to its total energy? (2021)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
The total energy (E) in a simple harmonic oscillator is given by E = (1/2)kA². If amplitude (A) increases, energy increases.
Correct Answer:
A
— Increases
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Q. If the amplitude of a simple harmonic oscillator is tripled, how does the total energy change? (2020)
A.
Increases by 3 times
B.
Increases by 6 times
C.
Increases by 9 times
D.
Remains the same
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Solution
Total energy in SHM is proportional to the square of the amplitude. If amplitude is tripled, energy increases by 3^2 = 9 times.
Correct Answer:
C
— Increases by 9 times
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Q. If the amplitude of a wave is doubled, how does it affect the energy of the wave? (2020)
A.
Remains the same
B.
Doubles
C.
Increases by four times
D.
Halves
Show solution
Solution
Energy of a wave is proportional to the square of the amplitude. If amplitude is doubled, energy increases by (2^2) = 4 times.
Correct Answer:
C
— Increases by four times
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Q. If the amplitude of a wave is doubled, how does this affect the energy carried by the wave? (2021)
A.
Energy is halved
B.
Energy remains the same
C.
Energy is doubled
D.
Energy is quadrupled
Show solution
Solution
The energy carried by a wave is proportional to the square of the amplitude. Therefore, if the amplitude is doubled, the energy increases by a factor of four.
Correct Answer:
D
— Energy is quadrupled
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Q. If the frequency of a vibrating tuning fork is 440 Hz, what is the time period of the vibration? (2023)
A.
0.00227 s
B.
0.005 s
C.
0.01 s
D.
0.0227 s
Show solution
Solution
The time period T is the reciprocal of frequency f, T = 1/f. Therefore, T = 1/440 ≈ 0.00227 s.
Correct Answer:
A
— 0.00227 s
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Q. If the frequency of a wave is doubled, what happens to its wavelength, assuming the speed remains constant? (2021)
A.
Doubles
B.
Halves
C.
Remains the same
D.
Quadruples
Show solution
Solution
Wavelength (λ) is inversely proportional to frequency (f) when speed (v) is constant: λ = v/f. If f is doubled, λ is halved.
Correct Answer:
B
— Halves
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Q. If the frequency of a wave is halved, what happens to its wavelength? (2015)
A.
Halves
B.
Doubles
C.
Remains the same
D.
Increases by four times
Show solution
Solution
Wavelength is inversely proportional to frequency. If frequency is halved, wavelength doubles.
Correct Answer:
B
— Doubles
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Q. In a damped harmonic oscillator, what happens to the amplitude over time? (2023)
A.
Increases
B.
Decreases
C.
Remains constant
D.
Oscillates
Show solution
Solution
In a damped harmonic oscillator, the amplitude decreases over time due to energy loss.
Correct Answer:
B
— Decreases
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Q. In a harmonic oscillator, if the mass is doubled while keeping the spring constant the same, how does the frequency change? (2021)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
Frequency (f) = (1/2π)√(k/m). If mass (m) is doubled, frequency decreases.
Correct Answer:
B
— Decreases
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Q. The frequency of a tuning fork is 440 Hz. What is the time period of the fork? (2019)
A.
0.00227 s
B.
0.0045 s
C.
0.01 s
D.
0.005 s
Show solution
Solution
Time period (T) = 1 / frequency (f) = 1 / 440 Hz ≈ 0.00227 s.
Correct Answer:
A
— 0.00227 s
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Q. The frequency of a tuning fork is 440 Hz. What is the time period of the sound wave produced? (2022)
A.
0.00227 s
B.
0.0045 s
C.
0.01 s
D.
0.005 s
Show solution
Solution
Time period (T) = 1 / frequency (f) = 1 / 440 Hz ≈ 0.00227 s.
Correct Answer:
A
— 0.00227 s
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Q. The frequency of a wave is doubled. How does this affect its wavelength if the speed of the wave remains constant? (2022)
A.
Wavelength doubles
B.
Wavelength halves
C.
Wavelength remains the same
D.
Wavelength quadruples
Show solution
Solution
According to the wave equation v = fλ, if frequency (f) is doubled and speed (v) remains constant, wavelength (λ) must halve.
Correct Answer:
B
— Wavelength halves
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Q. The maximum displacement of a wave from its rest position is called what? (2022)
A.
Amplitude
B.
Wavelength
C.
Frequency
D.
Period
Show solution
Solution
The maximum displacement from the rest position is defined as the amplitude of the wave.
Correct Answer:
A
— Amplitude
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