Free Waves MCQs with Answers
1,281 Waves MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
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1,281 questions · page 48 of 65
- A. 2.0 m
- B. 0.4 m
- C. 1.0 m
- D. 0.2 m
Explanation: Given: v = 340 m/s, Ratio of 3 frequencies = 425 : 595 : 765Solution:Since frequencies are in odd number ratio, the pipe has to be a…
Correct answer: 1.0 m- A. cos kx sin ωt
- B. k2x2 - ω2t2
- C. cos2(kx + ωt)
- D. cos (k2x2 - ω2t2)
Explanation: The correct expression for wave motion is typically of the form y(x, t) = A sin(kx - ωt) or y(x, t) = A cos(kx - ωt), where A is the…
Correct answer: cos kx sin ωt- A. 200 Hz
- B. 300 Hz
- C. 240 Hz
- D. 480 Hz
Explanation: Following is the solution to this question:Fundamental frequency in an open organ pipe: f = v/2LFrequency of 3rd harmonic in a closed…
Correct answer: 200 Hz- A. 2
- B. 4
- C. 8
- D. 1
Explanation: The frequency of a vibrating string is given by the formula v = (1/2L)√(T/μ), where L is the length, T is the tension, and μ is the linear…
Correct answer: 1- A. 33 m/s
- B. 22 m/s
- C. Zero
- D. 11 m/s
Explanation: To solve this problem, we apply the concept of the Doppler effect. The condition for no beats is when the frequencies from the police…
Correct answer: 22 m/s- A. n = 3, f2 = 3/4 f1
- B. n = 3, f2 = 5/8 f1
- C. n = 5, f2 = 5/4 f1
- D. n = 5, f2 = 3/4 f1
Explanation: In an open pipe, the harmonics occur at integer multiples of the fundamental frequency.
Correct answer: n = 5, f2 = 5/4 f1- A. Increases by 0.455 ms−1
- B. Decreases by 4.55 ms−1
- C. Increases by 4.55 ms−1
- D. Decreases by 0.455 ms−1
Explanation: When pressure increases by 1/2 atm and temperature increases by 10˚C from 100°C, the velocity of sound increases by 0.455 m/s.
Correct answer: Increases by 0.455 ms−1- A. Twice
- B. Half
- C. Four times
- D. Eight times
Explanation: In a stretched string, the frequency of the fundamental mode is given by the formula: f = (1/2L) * √(T/μ), where T is the tension, L is…
Correct answer: Twice- A. 204.1 cm/s
- B. 110 cm/s
- C. 58 cm/s
- D. 280 cm/s
Explanation: To find the velocity of sound, use the formula: v = f * λ, where f is the frequency and λ is the wavelength.
Correct answer: 280 cm/s- A. 1/250 s
- B. 1/500 s
- C. 1/1000 s
- D. 1/350 s
Explanation: The wave speed (v) is given as 350 m/s, and the frequency (f) of the wave is 500 Hz, which means the time period (T) is T = 1/f = 1/500…
Correct answer: 1/1000 s951. A stretched string fixed at both ends vibrates in n loop. Its length in terms of wavelength is:
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: Length of I loop in terms of wave length = λ/2Length of n loops in terms of wave length = n λ/2
Correct answer: Option D- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The speed "v" of the waves in the string depends upon the tension "F" and mass per unit length of the string "m".
Correct answer: Option B- A. Frequency
- B. Period
- C. Wavelength
- D. Phase difference
Explanation: The correct answer is wavelength because it specifically refers to the spatial distance between two consecutive crests or troughs in a…
Correct answer: Wavelength- A. 100 m/sec
- B. 200 m/sec
- C. 450 m/sec
- D. 900 m/sec
Explanation: The explanation is:Distance between adjacent nodes = λ/2 λ/2 = 1.5 --> λ = 3 mand v = fλ = (300)(3) = 900 m/s
Correct answer: 900 m/sec- A. Maximum
- B. Minimum
- C. Zero
- D. Constant
Explanation: The explanation is:At a node, the particles of the medium remain at rest.
Correct answer: Zero- A. They are always in-phase with each other
- B. Sometimes in-phase but sometimes out-of-phase
- C. They are always out-of-phase with each other
- D. Neither in-phase nor out-of-phase
Explanation: The points separated from one another through distances of λ, 2λ, 3λ, are all in phase with each other.
Correct answer: They are always out-of-phase with each other- A. Both in gas and metal
- B. In gas but not in metal
- C. In metal but not in gas
- D. Neither in gas nor in metal
Explanation: Transverse and longitudinal waves can be set up in solids. In gases transverse waves die out very quickly and usually cannot be produced…
Correct answer: In metal but not in gas- A. Decreases
- B. Increases
- C. Remains same
- D. None of these
Explanation: f = (1/2L) * √ (T/m)Where:f = frequency of oscillationL = length of the wireT = tension in the wirem = linear density (mass per unit…
Correct answer: Increases- A. f4 = v/2L
- B. f4 = 4/2L
- C. f4 = 3v/(2L)
- D. f4 = 4v/(2L)
Explanation: In an open organ pipe, the harmonics are integer multiples of the fundamental frequency.
Correct answer: f4 = 4v/(2L)- A. 0.5m
- B. 1 m
- C. 2m
- D. 3m
Explanation: Plucking the string from the middle means it vibrates in the first harmonic.λ/2 = f --> λ = 2f = 2(1) = 2m
Correct answer: 2m