When a standing wave is set up on a string fixed at both ends, which of the following statements is true?
Correct answer: C. The shape of the string at any instant shows a symmetry about the midpoint of the string
- A. Sum of the number of antinodes and the number of nodes is always even
- B. Wavelength = length string / number of nodes
- C. The shape of the string at any instant shows a symmetry about the midpoint of the string
- D. Frequency = number of nodes x fundamental frequency
Explanation
A string plucked from 1/2 of the length or any of the further harmonics shows symmetry about it's midpoint, if the wave pattern is divided into two equal parts, then it is observed that they are symmetrical. The frequency of such wave is given by ω/2π.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Waves
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.
Practise Waves
1,281 free Waves MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Waves questions
Beats can be used to find:
If a pipe is closed at one end and open at the other, the closed end is a:
A stationary wave is setup on a string of length 10 cm. Four loops are formed. What is the distance between two consecutive antinode?
In a stationary wave, the distance between a node and consecutive antinode is:
Ten complete waves pass through a point in 2 seconds. If the wavelength is 20 cm, what is the speed of the wave?
A longitudinal wave is moving through a medium. Which of the following statements about the direction of the propagation of the wave and displacement of the medium is true?