Question:
When beats are produced by two progressive waves of the same amplitude and of nearly the same frequency, the ratio of maximum loudness to the loudness of one of the waves will be $n$ . Where $n$ is:
When beats are produced by two progressive waves of the same amplitude and of nearly the same frequency, the ratio of maximum loudness to the loudness of one of the waves will be $n$ . Where $n$ is:
Updated On: Jul 12, 2022
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The Correct Option is C
Solution and Explanation
We know that intensity $ I\propto a^{2},$ where a is amplitude of the wave.
The maximum amplitude is the sum of two anplitudes
i.e., $ (a +a=2a) $
Hence, maximum intensity $ \propto 4a^{2}$
Therefore, the required ratio i.e., ratio of maximum intensity (loudness) and intensity (loudness) of one wave is given by $n,$
$n=\frac{4 a^{2}}{a^{2}}=4$
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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