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The equation of stationary wave on a string clamped at both ends and vibrating in third harmonic is Y = 0.5 sin (0.314.x) cos(600πt) where x and y are in cm, t in second. The length of the vibrating string is

A cylindrical tube open at both ends has fundamental frequency f in air. When the tube is dipped vertically in water so that one-third part of the tube is in water, the fundamental frequency of air column becomes(neglect end correction)

A string of mass ‘M’ is under a tension ‘T . The length of the string is ‘L’. A transverse wave starts at one end of the string. The time required for the disturbance to reach the other end is

The fundamental frequency of a wire stretched by 2 kg wt is 100 Hz. The weight required to produce its octave is

A stationary wave is represented by y = 10 sin (π/4)cos(20 πt) where x and y are in cm and t in second. The distance between two consecutive nodes is

In a medium, the phase difference between two particles separated by a distance ‘x’ is (π/5)^c. If the frequency of the oscillation of particles is 25 Hz and the velocity of propagation of the wave is 75 m/s, then the value of x is

A hollow pipe of length 0.8 m is closed at one end. At its open end, a 0.5 m long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of pipe. If the tension in the string is 50 N and speed of sound in air is 320 m/s, the mass of the string is

Two waves are superimposed whose ratio of intensities is 9:1. The ratio of maximum and minimum intensity is

A string in a musical instrument is 50 cm long and its fundamental frequency is 800 Hz. Keeping the tension applied to the string same, the change in the length to produce sound note of fundamental frequency will be

Two sound waves of slightly different frequencies propagating the same direction produce beats due to

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