The equation of a wave disturbance is given as :
where X and y are in metres and t in seconds. Choose the wrong statement:
In a plane progressive harmonic wave particle speed is always less than the wave speed if:
(where A is wavelength of wave)
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Two sound source are moving in opposite directions with velocities v_{1} and v_{2}(v_{1} > v_{2}). Both are moving away from a stationary observer. The frequency of both the sources is 900 Hz. What is the value of v_{1}  v_{2} so that the beat frequency observed by the observer is 6 Hz. Speed of sound v = 300 mis. Given, that v_{1} and v_{2} « v.
String 1 has twice the length, twice the radius, twice the tension and twice the density of another string 2. The relation between the fundamental frequencies of 1 and 2 is :
A string of length L is stretched by L/20 and speed of transverse wave along it is v. The speed of wave when it is stretched by L/10 will be : (assume the Hooke’s law is applicable)
Speed of transverse wave in a string of density 100 kglm^{3} and area of crosssection 10 mm^{2} under the tension of 10^{3} N is :
A wave represented by the equation y1 = Acos(kx ωt), is superimposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation of the other wave is :
The frequency changes by 10% as the source approaches a stationary observer with constant speed v_{s}. What would be the percentage change in frequency as the source recedes the observer with the same speed ? Given, that v_{s} « v ( v = speed of sound in air)
A heavy rope is suspended from a rigid support. A wave pulse is set up at the lower end, then :
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389 videos546 docs149 tests
