c) Two collinear harmonic oscillations x₁ = 8 sin (100πt) and x₂ = 12 sin (96πt) are superposed. Calculate the values of time when the amplitude of the resultant oscillation will be (i) maximum and (ii) minimum.
Introduction We are given two harmonic oscillations: x₁ = 8 sin(100πt) x₂ = 12 sin(96πt) These are sinusoidal functions with different frequencies. When superposed, they result in a phenomenon known as beats. The amplitude of the resultant wave varies with time due to interference between the two waves. Step 1: Beat Frequency Let the two […]
