A longitudinal standing wave, in second harmonic mode, is established in a tube that is open at both ends. The length of the tube is 0.80 m. What is the wavelength of the waves that make up the standing wave?
Correct answer: C. 0.80 m
- A. 0.20 m
- B. 0.40 m
- C. 0.80 m
- D. 1.60 m
Explanation
Option C is correct since according to the formula for standing waves in an open pipe, the fundamental frequency is : v/2L. For the second harmonic, the frequency is 2v/2L. Let's calculate the wavelength of the waves according to the formula given in the image. As the length of the tube is 0.80m, there will be three antinodes and 2 nodes. Since L= (2 * lambda )/2, so L= lambda. So 0.80m is the wavelength of the waves.Option A is incorrect since it states 0.20m which corresponds to a quarter of a wavelength.Option B is incorrect since it states 0.40m which corresponds to half a wavelength.Option D is incorrect since it states 1.60m which corresponds to double wavelength.
Last updated
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.
Exams that ask Physics questions like this
Physics is on 13 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
20 waves pass through a point in a medium, in 5 seconds. What is the time required for one wave to pass?
A 100 cm long string fixed at its two ends is plucked from the middle. The wavelength of stationary waves generated is:
A 100 cm long string fixed at its two ends is plucked from the middle. The wavelength of stationary waves generated is:
A 200 cm organ pipe with one end open is in resonance with a sound wave of wavelength 270 cm. The pipe is operating in its:
A car moving at 30 m/s toward an observer sounds its horn at 400 Hz. If the speed of sound is 343 m/s, what frequency does the observer hear?