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A violin string vibrates with fundamental frequency of 440Hz. What are the frequencies of the first and second overtones?

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प्रश्न

A violin string vibrates with fundamental frequency of 440Hz. What are the frequencies of the first and second overtones?

संख्यात्मक
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उत्तर

Data: n = 440 Hz

The first overtone, n1 = 2n = 2 x 440 = 880 Hz

The second overtone, n2 = 3n = 3 x 440 = 1320 Hz

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पाठ 6: Superposition of Waves - Exercises [पृष्ठ १५७]

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बालभारती Physics [English] Standard 12 Maharashtra State Board
पाठ 6 Superposition of Waves
Exercises | Q 20 | पृष्ठ १५७

संबंधित प्रश्‍न

Answer in brief:

What are harmonics and overtones?


A pipe closed at one end can produce overtones at frequencies 640 Hz, 896 Hz, and 1152 Hz. Calculate the fundamental frequency.


The equation of a simple harmonic progressive wave is given by, y = 5cosπ`[200t - x/150]`, where x and y are in cm and ‘t’ is in second. Then the velocity of the wave is ______.


Distinguish between an overtone and harmonic. 


Two open pipes of different lengths and same diameter in which the air column vibrates with fundamental frequencies 'n1', and 'n2' respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be ______.


A tube closed at one end and containing air produces fundamental note of frequency 256 Hz. If the tube is open at both ends, the fundamental frequency will be ____________.


If length of a closed organ pipe is 60 cm and velocity of sound is 360 m/s, then the frequency of 1st overtone is ____________.


An open pipe of certain length produces fundamental frequency f1. A closed pipe of some other length produces fundamental .frequency f2. When the two are joined to form a longer close tube, its fundamental frequency will be ____________.


A pipe open at both ends and a pipe closed at one end have same length. The ratio of frequencies of their pth overtone is ______.


Length of an organ pipe open at both ends is 34 cm. If velocity of sound is 340 m is, then the frequency of 2nd overtone is ______.


A stretched uniform wire of length L under tension T is vibrating with frequency 'n' . A closed pipe of same length is also vibrating with same fundamental frequency 'n'. If T is increased by 16 N, it is in resonance with 2nd harmonic of same closed pipe. The initial tension in the wire is ______.


An organ pipe has fundamental frequency 100 Hz. If its one end is closed, the frequencies produced will be ______.


The sequence of harmonics of a pipe open at one end and closed at the other end is 250 Hz and 350 Hz, The resonating length of the air column in its fundamental mode will be ______ 

(velocity of sound in air = 340 m/s) 


When source of sound moves towards a stationary observer, the wavelength of sound received by him ______.


A pipe Pc closed at one end and point Po open at both ends are vibrating in the second overtone. They are in resonance with a given tuning fork. The ratio of the length of pipe Pc to that of pipe, Po is ______.

(Neglect end correction).


Two organ pipes are emitting their fundamental notes, when each closed at end, give 5 beats per sec. If their fundamental frequencies are 250 Hz and 255 Hz, then find the ratio of their lengths.


A stretched string 0.7 m long and fixed at its ends vibrates in the second overtone of frequency 300 Hz. Find the speed of the transverse wave on the string.


Two organ pipes closed at one end have the same diameters but different lengths. Show that the end correction at each end is e = `(n_1l_1 - n_2l_2)/(n_2 - n_1)`, where the symbols have their usual meanings. Take `γ = 5/3`.


Prove that for pipe closed at one end, the end correction is `e = (n_2l_2-n_1l_1)/(n_1-n_2)`


A sonometer wire is subjected to a certain tension. If the tension is increased four times and the length of wire is reduced to half the original value, how is frequency of vibrations altered?


Two organ pipe, open at both ends, are sounded together and 5 beats are heard per second. The length of shorter pipe is 0.25 m. Find the length of the other pipe. (Given: Velocity of sound in air = 350 m/s and end correction at one end = 0.015 m, same for both pipes.)


In fundamental mode, the time required for the sound wave to reach up to closed end of a pipe filled with air is 't' second. The frequency of vibration of air column is (Neglect end correction) ______.


A pipe closed at one end produces a fundamental note of frequency 'v'. The pipe is cut into two pipes of equal lengths. The fundamental frequencies produced in the two pipes are ______.


There are two organ pipes of the same length and the same material but of different radii. When they are emitting fundamental notes.


A pipe closed at one end vibrating in fifth overtone is in unison with open pipe vibrating in its fifth overtone. The ratio of lc : lo is [lc = vibrating length of closed pipe, lo = vibrating length of open pipe]:


End correction at open end for air column in a pipe of length ‘l’ is ‘e’. For its second overtone of a closed pipe the wavelength of the wave is ______.


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