In this experiment a section of a transparent t is partially filled water. The a

Question

In this experiment a section of a transparent t is partially filled water. The air at the open end of the pipe is set in motion by the periodic vibrations of a tuning fo A given air pulse from the lower prong of the fork, a compression), travels back up. If the length of the air column (height of the water) is adjusted so that a succession of pulses is reflected at the top, in phase with the pulse generator (prong of the fork) the amplitude of the pulses (oscillations of the air molecules) will become large and the air column is said to be "in resonance" with the pulse generator 1.e. tuning fork. (a) (b) At resonance, the air column has the properties of 'standing waves"; the air molecules vibrate with an amplitude that varies from zero (at a node) to a maximum (at an antinode), at intervals of one-quarter wavelength, i.e. half wavelength intervals between consecutive antinodes or node) It is characteristic of such standing waves in a tube that there must be a node at the fixed water surface (which vibrates only a negligible amount) and an antinode at (actually a little beyond the open end of the tube. The first possible resonant node is shown at (a) in the figure; here the distance NA is one-quarter wavelength. The next case is shown at (b) The "end correction" is the distance from the open end of the pipe to the antinode just above it. If this correction is constant, the difference of the pipe lengths at (a) and (b) is seen to be one-half wavelength. Successive resonance points should show this same difference. If tube lengths are plotted against the numbers 1/4, 3/4, 5/4..., what will the slope represent? The end correction may be found from the same graph

Explanation / Answer

The end correction is needed because the frequency of the tuning fork does not exactly match with the frequency of resonating column i.e. it differs, to quite an extent. So, the column may not go into resonance with the frequency that you provided it using the tuning fork of the desired values.

When there's a gap between tube and the fork (when you strike it), the small column of air starts vibrating a little beyond the tube's edge.

So, we are required to add an additional length to the known length in order to get the correct natural frequency of the resonating setup.

The anti-node is not exactly formed at the end of the open tube, but slightly beyond it. The experimental value of wavelength will, in this way, depend on the end correction since wavelength is inversely proportional to frequency and frequency will be directly affecteb by the value of the end correction of the column.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.