A longitudinal wave is travelling at speed u in positive x direction in a medium having average density r0. The displacement (s) for particles of the medium versus their position (x) has been shown in the figure. Answer following questions for 0 lt x le 10 cm (a) Write x co-ordinates of all positions where the particles of the medium have maximum negative acceleration. What is density at these locations – higher than rho_(0), less than rho_(0) or equal to r_(0)? (b) Write x co-ordinates of all locations where the particles of the medium have negative maximum velocity. What do you think about density at these positions? (c) Knowing that the change in density (Delta rho) is proportional to negative of the slope of s versus x graph, prove that (d rho)/(dx) prop -a where a is accelerationof the particles at position x. At which point (0 lt x le 10) is (d rho)/(dx) positive maximum.