A glass tube of length $ 1.0\, m $ is completely filled with water. A vibrating tuning fork of frequency $ 500 \,Hz $ is kept over the mouth of the tube and the water is drained out slowly at the bottom of the tube. If velocity of sound in air is $ 330\,m{{s}^{-1}}, $ then the total number of resonances that occur will be
- 2
- 3
- 1
- 5
The Correct Option is B
Solution and Explanation
$ \therefore $ $ {{l}_{1}}=\frac{v}{4{{f}_{1}}}=\frac{330}{4\times 500}=0.165\,m; $
$ {{l}_{2}}=\frac{3v}{4{{f}_{1}}}=3{{l}_{1}}=0.495; $
$ {{l}_{3}}=\frac{5v}{4{{f}_{1}}}=5{{l}_{1}}=0.825\,m $
And $ {{l}_{4}}=\frac{7v}{4{{f}_{1}}}=7{{l}_{1}}=1.155>1\,m $
Therefore, number of resonance = 3.
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- A sound wave travels through air with a frequency of 500 Hz and a wavelength of 0.68 m. Calculate the speed of sound in air.
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Concepts Used:
Waves
Waves are a disturbance through which the energy travels from one point to another. Most acquainted are surface waves that tour on the water, but sound, mild, and the movement of subatomic particles all exhibit wavelike properties. inside the most effective waves, the disturbance oscillates periodically (see periodic movement) with a set frequency and wavelength.
Types of Waves:
Transverse Waves -
Waves in which the medium moves at right angles to the direction of the wave.
Examples of transverse waves:
- Water waves (ripples of gravity waves, not sound through water)
- Light waves
- S-wave earthquake waves
- Stringed instruments
- Torsion wave
The high point of a transverse wave is a crest. The low part is a trough.
Longitudinal Wave -
A longitudinal wave has the movement of the particles in the medium in the same dimension as the direction of movement of the wave.
Examples of longitudinal waves:
- Sound waves
- P-type earthquake waves
- Compression wave