![]() ![]() Other sounds, such as a dog whistle, are inaudible to the human ear. And while the sound of road construction early on Saturday morning is also audible, it certainly isn’t pleasant or soft. You’re likely to find the sounds produced by a piano player soft, audible, and musical. There are many different types of sound including, audible, inaudible, unpleasant, pleasant, soft, loud, noise and music. ![]() You may recognize this section from our blog post, “What is a Sound Wave in Physics?” Keep reading for a more in-depth look at sound waves. While the physiological definition includes a subject’s reception of sound, the physics definition recognizes that sound exists independently of an individual’s reception. When an object vibrates, it causes the surrounding air molecules to vibrate, initiating a chain reaction of sound wave vibrations throughout the medium. In physics, sound is produced in the form of a pressure wave. ![]() The core topic has been further discussed through proper discussion on the interference of two waves, the resultant intensity of two interfering waves, the intensity of two waves, and the incoherent addition of waves.In physiology, sound is produced when an object’s vibrations move through a medium until they enter the human eardrum. This topic has high importance in the subject of physics and cannot be ignored in the UPSC exam. We are often required to find the intensity of the resultant wave when the intensity of two interfering waves is given. The overall article has been written on the core topic of key notes on resultant intensity in interference of two waves. I = I 2 + I 1 + 2√I 1 I 2 Cos θ, which is the resultant intensity when two waves of intensity I 1 and I 2 interfere. Let us suppose I 1 = ka 2, I = kA 2 and I 2 = kb 2 Now we know that intensity varies directly with the square of the amplitude of the waves Squaring and adding the above two equations we getĪ = √( b 2 + 2ab Cos θ + a 2 ) -–iv) Therefore comparing the coefficients of Sin ωt and Cos ωt on both sides If the resultant amplitude is considered as A then y = A sin (θ + ωt) = b sin (θ + ωt) + a sin ωt. Applying the principle of superposition stated earlier we get y = b sin (θ + ωt) + a sin ωt. Here b and a are the amplitude of the waves and θ is the difference in phase between the two waves which is constant. Displacement of each separate wave is given by y 2 = b sin ( θ + ωt ) and y 1 = a sin ωt. The difference only occurs in the phases. ![]() The two waves are at the specific point P at the given time. Then the displacement of the resultant wave is given as y = y 2 + y 1. Suppose two waves having a vertical displacement y 2 and y 1 superimpose at a particular point of p. Resultant intensity in interference of two waves The effect of disruption of the two waves will lead to the medium taking a new shape that will ultimately result in the combined effect of the two waves. In this context, the aspect of wave disturbance is important which is defined as a specific condition in which two specific waves hit or meet each other while moving in the same direction. The amplitude and intensity of these resultant waves can be the same, lesser, or greater than the original interfering waves. The interference of two waves is said to be the phenomenon in which two waves overlap to form a resultant wave. On overlapping of these two waves, the resultant displacement is obtained. Then the displacement of the elements within the two waves can be represented as y 2 (x, t) and y 1 (x, t). Let two waves be considered to be traveling simultaneously concerning the same string. The superposition principle of the waves states that the resulting displacement of several waves within a medium at a given point can be regarded as the vector sum of the displacement of each wave produced by each particular wave at that point. ![]()
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