The equation of a simple harmonic wave is given by

y = 3 sin$${\pi \over 2}$$(50t $$-$$ x),

where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is

When a string is divided into three segments of length $$l$$₁, $$l$$₂ and $$l$$₃ the fundamental frequencies of these three segments are $${\upsilon _1},{\upsilon _2}$$ and $${\upsilon _3}$$ respectively. The original fundamental frequency ($$v$$) of the string is

Two sources of sound placed close to each other, are emitting progressive waves given by
y₁ = 4sin600$$\pi $$t and y₂ = 5sin608$$\pi $$t
An observer located near these two sources of sound will hear

Two identical piano wires, kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be