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Hello Tutor, At first Thank you. Here is three Questions. I need all Questions details answer. You have to provide ALL QUESTIONS DETAILS SOLUTION. Solution

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1. Find the amplitude, frequency, wavelength, and speed of propagation of the wave described by the equation 3; = D.2cos[1r(5t 23)]. Here, the units of length and time are taken to be meter and second. respectively. When a sinusoidal wave of amplitude 0.1m and frequency 2H 2 travels at a speed of Zm/s in the :r: direction, derive the expression for the displacement y at position x at time t by using an integer, 71. Here, we assume that the displacement at the origin (3 = 0) at time t = 0 is zero, i.e., y = 0. 2. Total Energy of a harmonic oscillator is given by E = mv + lm\". Show that This Energy is always conserved. 3. Polytropic process: a process that is described well by an equation of the form PV" = constant = C. Find the work for a gas undergoing a polytropic process with n i 1. Here, n is known as the polytropic exponent

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