KINDLY SHOW A SOLLUTION, THANK YOU. 1. The equation of a travelling wave is y(x , t) = 0.02 cos(0.25x - 500t) where the units are SI. What is the velocity of the wave? 2. The speed of sound in dry air at 20C is 343 m/s. What is the speed of sound in dry air at 80C? 3. A string is stretched by a force of 4.0 N. The mass per unit length of the string is 4.0 10^-4 kg/m. A transverse wave would travel along this string with a velocity of approximately? 4. Waves on the surface of a liquid are observed to have a wavelength of 12.9 mm and a speed of 30.9 cm/s. What is the frequency of the wave motion? 5. A sinusoidal wave train is moving along a string. The equation giving the displacement as a function of position and time is y(x, t) = 0.12 sin 8 (t - x/50), where the units are SI. For a particle at x=5m when t=2.4s, what is the velocity of the particle. 6. Two speakers face each other at a distance of 1m and are driven by a common audio oscillator. A first minimum in sound intensity is found 16.1 cm from the midpoint. If the velocity of sound is 330m/s, find the frequency of the oscillator. 7. A string 2.0 m long has a mass of 2.4 x 10^-2kg. When fixed at both ends, it vibrates with a fundamental frequency of 150 Hz. The speed of a transverse wave in the string is