A string `120 cm` in length sustains a standing wave, with the points of the string at which the displacement amplitude is equal to `3.5 mm` being separated by `15.0cm.` Find the maximum displacement amplitude. To which overtone do these oscillations correspond ?

A string 120 cm in length sustains standing wave with the points of the string at which the displacement amplitude is equal to 3.5 mm being separated by 15.0 cm. The maximum displacement amplitude is X. 95 mm then find out the value of X.

A standing wave exists in string of length 150 cm fixed at both ends. The displacement amplitude of a point at a distance of 10 cm from one of ends if 5sqrt(3)mm . The distance between two nearest points, within the same loop having the same displacement amplitude of 5sqrt(3) is 10 nm. The maximum displacement amplitude of the particle in the string is,:

A string of mass 0.2 kg/m and length l= 0.6 m is fixed at both ends and streteched such that it has a tension of 80 N. the string vibrates in 3 segments with maximum amplitude of 0.5 cm. the maximum transevers velcotiy amplitude is

A point isotropic source generates sound oscillations with frequency v=1.45 kHz . At a distance r_(0)=5.0 m from the source the displacement amplitude of particles of the medium is equal to the a_(0)=50 mu m, and at the point A located at a distance r=10.0 m from the source the displacement ampitude is eta=3.0 times less than a_(0) . Find : (a) the damping coefficient gamma of the wave, (b0 the velocity oscillation amplitude of particles of the medium at the point A .

A standing wave is created on a string of length 120 m and it is vibrating in 6 th harmonic. Maximum possible amplitude of any particle is 10 cm and maximum possible velocity will be 10 cm//s . Choose the correct statement.

A wave travelling on a string at a speed of 10 ms^-1 causes each particle of the string to oscillate with a time period of 20 ms. (a) What is the wavelength of the wave ? (b) If the displacement of a particle is 1.5 mm at a certain instant, what will be the displacement of a particle 10 cm away from it at the same instant ?

(i) The equation of wave in a string fixed at both end is y = 2 sin pi t cos pi x . Find the phase difference between oscillations of two points located at x = 0.4 m and x = 0.6 m . (ii) A string having length L is under tension with both the ends free to move. Standing wave is set in the string and the shape of the string at time t = 0 is as shown in the figure. Both ends are at extreme. The string is back in the same shape after regular intervals of time equal to T and the maximum displacement of the free ends at any instant is A. Write the equation of the standing wave.

The equation of a travelling plane sound wave has the form y=60 cos (1800t-5.3x) , where y is in micrometres, t in seconds and x in metres. Find (a). The ratio of the displacement amplitude with which the particle of the medium oscillate to the wavelength, (b).the velocity oscillation ammplitude of particles of the medium and its ratio to the wave propagation velocity , (c ).the oscillation amplitude of relative deformation of the medium and its relation to the velocity oscillation amplitude of particles of the medium, (d). the particle acceleration amplitude.