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qUESTIONS

Two wires of the same material and same cross section are stretched on a sonometer. One wire is loaded with 1.5 kg and another is loaded with 6 kg. The vibrating length of first wire is 60 cm and its fundamental frequency of vibration is the same as that of the second wire. Calculate vibrating length of the other wire.

Two sound waves travel at a speed of 330m/s. If their frequencies are also identical and are equal to 540 Hz, what will be the phase difference between the waves at points 3.5 m from one source and 3m from the other if the sources are in phase?

Two sources of sound are separated by a distance 4 m. They both emit sound with the same amplitude and frequency(330 Hz), but they are 180° out of phase. At what points between the two sources, will the sound intensity be maximum?

A sound wave in a certain fluid medium is reflected at an obstacle to form a standing wave. The distance between two successive nodes is 3.75 cm. If the velocity of sound is 1500 m/s, find the frequency.

A wave of frequency 500 Hz is travelling with a speed of 350 m/s.(a) What 1s the phase difference between two displacements at a certain point at times 1.0 ms apart? (b) what will be the smallest distance between two points which are 45° out of phase at an instant of time?

Two sound waves having wave lengths 81 cm and 82.5 cm produce8 beats per second. Calculate the speed of sound in air.

A wire has linear density4.0 x 10⁻³ kg/m. It is stretched between two rigid supports with a tension of 360 N. The wire resonates at a frequency of 420Hz and 490 Hz in two successive modes. Find the length of the wire.

Two wires of the same material and the same cross section are stretched on a sonometer 1n succession Length of one wire is 60 cm and that of the other is 30 cm. An unknown load is applied to the first wire and second wire 1s loaded with 1.5 kg. If both the wires vibrate with the same fundamental frequencies, calculate the unknown load.

A sonometer wire of length 50 cm is stretched by keeping weight sequivalent of 3.5 kg. The fundamental frequency of vibration is 125 Hz. Determine the linear density of the wire.

The velocity of a transverse wave on a string of length 0.5 m 1s 225 m/s.(a) What 1s the fundamental frequency of a standing wave on this string if both ends are kept fixed? (b) While this string 1s vibrating in the fundamental harmonic, what i1s the wave length of sound produced 1n air if the velocity of sound 1n air 1s 330 m/s?

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