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If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is:

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Important Questions on Waves

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The length of the string of a musical instrument is 90 cm and has a fundamental frequency of 120 Hz Where should it be pressed to produce fundamental frequency of 180 Hz?
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In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency increases to 7 Hz. If the frequency of A is 530 Hz, the original frequency of B will be:
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The fundamental frequency in an open organ pipe is equal to the third harmonic of closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is
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A tuning fork is used to produce resonance in glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27 oC two successive resonances are produced at 20 cm and 73 cm of column length. If the frequency of the tuning fork is 320 Hz, the velocity of sound in air at 27 oC is
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The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system?
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The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe which is  L meter long. The length of the open pipe will be
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Three sound waves of equal amplitudes have frequencies, (n  1), n, (n + 1). They superimpose to give beats. The number of beats produced per second will be
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A uniform rope of length L and mass m1, hangs vertically from a rigid support. A block of mass m2 is attached to the free end of the rope. A transverse pulse of wavelength λ1 is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is λ2. The ratio λ2λ1 is: