Waves in Pipes and String Class 12 Physics Notes and Numericals

Waves in Pipes and String falls under waves and optics portion of class 12 physics. Waves in Pipes and String Class 12 Physics Notes is designed according to the updated syllabus of 2080 and it covers all the important portion of the chapter. Students can easily prepare their notes, study for test or exams by taking the help of class 12 waves in Pipes and string Notes.

Chapter – 8
Waves in Pipes and String

Organ Pipe is a cylindrical tube of any material in which musical sound is produced by setting an air column into vibrations. One end of the organ pipe is always open while the other end may be closed or open. If both the ends of the pipe are open such as in a flute, it is called an open organ pipe and if one end of the pipe is closed such as in a whistle, then it is called a closed organ pipe.

Chapter Overview
In this chapter we are going to learn the following concepts, ideas or topics;

Stationary Waves in Organ Pipes or Air
End Correction in Organ Pipes
Waves in Strings
Columns

Now let’s move on to the notes of waves in Pipes and string. The PDF given below contains all the notes which includes all the topics mentioned in the chapter overview. We request students to use the notes of waves in pipes and string wisely for the purpose of making notes and preparing for the board examination.

You have to scroll down the PDF to view all the notes of Waves in Pipes and String. This PDF contains 14 slides in total which contains all the required notes of waves in Pipes and string. It doesn’t contains the numerical problems so if you are searching for the numericals then you’ll find them in the next PDF given below.

Harmonics and Overtones

The vibration of the lowest frequency is called fundamental frequency. The harmonics are defined as the sequence of frequencies obtained by multiplying the fundamental frequency by whole numbers. So if the fundamental frequency is f, the harmonics are given by f₁ = nf and the first harmonic (n=1) coincides with the fundamental. The overtones on the other hand are defined as the sequence of frequencies above the fundamental – literally overtone means above the tone and the tonic is just another name for the fundamental.

Waves in Pipes and String Class 12 Physics Numerical Questions

Those students who want to practice the numericals from waves in pipes and string chapter can practice the questions given in the PDF below. We have solved the selected numericals which will provide you the method of solving the numericals.

This PDF contains all the important numericals from waves in pipes and string chapter. In addition to the numericals it also contains all the required formulas used for solving the numerical problems of this chapter.

If you are willing to practise more numerical problems for your examination then you can practice the questions listed below.

A steel wire of 2m long whose mass is 3g is under tension of 500N and is tied down at both ends. Calculate the frequency and wavelength for fundamental mode of vibration. [Ans: 144 Hz, 4m]
A wire of diameter 0.04cm and made of steel of density 8000 kgm is under constant tension of 80N. What length of this wire should be plucked to cause it to vibrate with a frequency of 840 Hz? [Ans: 0.168 m]
A piano string has length of 2.0m and a density of 800 kgm³. When the tension in the string produces a string of 1%, the fundamental note obtained from the string in the transverse vibrations in 170Hz. Calculate Young’s modulus for the material of the string. [Ans: 3.7 x 10 Nm^-2]
A pianoforte wire having a diameter of 0.90mm is replaced by another wire of the same materials but with diameter 0.93 mm. If the tension of the wire is as before, what percentage change in the frequency of fundamental note? [Ans: 3.2%]
A wire with mass 40g is stretched so that its ends are tied down at points 80cm apart. The wire vibrates in its fundamental mode with frequency 60Hz. Calculate the speed of propagation of transverse waves in the wire and the tension in the wire. [Ans: 96 m/sec, 481 N]

These questions are provided for practising purposes. So we haven’t provided the solutions of the numerical problems. However, if you are facing problems while solving these numericals then we request you to copy the questions and paste it in Google to get the solutions of that numericals. If that doesn’t work then you can contact us through our telegram channel to get the solutions.