A string of density 7.5 g cm3 and area of cross-section 0.2 mm2 i

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51.

A string of density 7.5 g cm3 and area of cross-section 0.2 mm2 is stretched under a tension of 20 N. When it is plucked at the mid-point, the speed of the transverse wave on the wire is

  • 116 ms-1

  • 40 ms-1

  • 200 ms-1

  • 80 ms-1


A.

116 ms-1

The speed of transverse wave

     v = Tm

Given, T = 20 N, Ml = d × All = d × A

  v = 20 × 10-37.5 × 0.2 × 10-32      v  116 ms-1


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52.

In a gas, two waves of wavelengths 1 m and 1.01 m are superposed and produce 10 beats in 3 s. The velocity of sound in the medium is

  • 300 m/s

  • 336.7 m/s

  • 360.2 m/s

  • 270 m/s


53.

A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their lengths is

  • 1 : 1

  • 2 : 1

  • 1 : 4

  • 1 : 2


54.

An observer standing near the sea shore os 54 /min. If the wavelength of the water wave is 10 m then the velocity of water wave is

  • 540 ms-1

  • 5.4 ms-1

  • 0.184 ms-1

  • 9 ms-1


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55.

A set of 24 tuning forks are so arranged that each gives 6 beats/s with the previous one. If the frequency of the last tuning fork is double that of the first, frequency of the second tuning fork is

  • 138 Hz

  • 132 Hz

  • 144 Hz

  • 276 Hz


56.

The equation y = A sin 2π tT - xλ, where the symbols carry the usual meaning and A, T and λ are positive, represents a wave of 

  • amplitude 2 A

  • period T/λ

  • speed (λ/T)

  • velocity in negative x-direction


57.

A pipe open at both the ends produce a note of fundamental frequency f1. When the pipe is kept with 34th of its length in water, it produces a note of fundamental frequency f2. The ratio of f1f2 is

  • 43

  • 34

  • 2

  • 12


58.

A tuning fork of frequency 580 Hz is employed to produce transverse waves on a long rope. The distance between the nearest crusts is found to be 20 cm. The velocity of the wave is

  • 58 ms-1

  • 580 ms-1

  • 116 ms-1

  • 29 ms-1


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59.

The distance travelled by a sound wave when a tuning fork completes 25 vib in 16.5 m. If the frequency of the tuning fork is 500 Hz, find the velocity of sound.

  • 350 ms-1

  • 330 ms-1

  • 300 ms-1

  • 450 ms-1


60.

Two instruments having stretched strings are being played in unison. When the tension of one of the instruments is increased by 1 %, 3 beats are produced in 2s. The initial frequency of vibration of each wire is

  • 300 Hz

  • 500 Hz

  • 1000 Hz

  • 400 Hz


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