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💯 Relation between Amplitude and Intensity of Sound Explained

📢 Receive Free Study Resources and Special Offers 🧲 Click this link to get: ▶️▶️▶️ https://iitutor.com/email-list/ ◀️◀️◀️ Download Slide: https://iitutor.com/product/slide-sou... Watch Full Playlist:    • 💯 What is Sound Volume? Watch this vi...   Intensity and Amplitude The intensity of a sound depends on both its frequency and its amplitude. At a constant frequency, the intensity of the wave depends on the square of its amplitude. The relationship between amplitude and intensity is very helpful when reading data from graphs. A sound with twice the amplitude of another will have four times the intensity. Question 14 A certain 800 Hz sound is eight times louder than another 800 Hz sound. By what factor is its amplitude greater? If it is eight times louder, its amplitude must be square root 8 times greater. The amplitude is 2.83 times greater. Amplitude and intensity are related concepts in sound. Amplitude refers to the magnitude of the displacement of a vibrating object, such as a speaker diaphragm or a guitar string, while intensity refers to the power of the sound wave as it travels through a medium, such as air. The relationship between amplitude and intensity is given by the following equation: I = (p_0)^2 * (A^2) / (2 * Z) Where: I is the intensity of the sound wave p_0 is the reference pressure A is the amplitude of the vibration Z is the impedance of the medium A sound wave's intensity is proportional to its amplitude's square. This means that if the amplitude of a sound wave is doubled, its intensity will increase by a factor of four. Conversely, if the amplitude is halved, the intensity will decrease by a factor of four. Note that the units of amplitude and intensity are different, with amplitude typically measured in units of meters (m) and intensity in units of watts per square meter (W/m^2).