Standing Waves
Standing Waves: Overview
This topic covers concepts, such as Standing Waves, Equation of Standing Waves, Nodes and Antinodes in Standing Waves, and Normal Modes of Oscillation for a Stretched String Fixed at Both Ends.
Important Questions on Standing Waves
The ratio of first harmonic of open organ pipe and closed organ pipe for the same length is

fundamental frequency of closed organ pipe is ( velocity of sound in air, Length of organ pipe)

Fundamental frequency of open organ pipe is ( Velocity of sound in air, Length of pipe)

For a organ pipe of length , closed at both ends, the first displacement node is presend at :

The fundamental frequency of a string is proportional to.

Which one of the following statement is false for the normal modes of oscillations of air column open at one end?


A stretched wire emits a fundamental note of . Keeping the stretching force constant and reducing the length of wire by , the frequency becomes , the original length of the wire is

A pipe long, is open at both ends. Which harmonic mode of the pipe resonates a source?
(Speed of sound in air)

A steel rod of length is clamped at the middle. The frequency of the fundamental mode of the rod is: (Speed of sound in steel )

In stationary waves, nodes are the points where there is:

The disc of a siren containing 60 holes rotates at a constant speed of 360 rpm. The emitted sound is in unison with a tuning fork of frequency

A note has a frequency 128 Hz. The frequency of a note two octaves higher than it is

The fundamental frequency of a closed organ pipe is equal to second overtone of an open organ pipe. If the length of closed organ pipe is . The length of open organ pipe is

The equation of a standing wave on a string is . The amplitude of a point away from the end is

A stretched string of length 2m vibrates in 4 segments. The distance between consecutive nodes is
