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A uniform wire of length ‘L’, diameter ‘D’ and density ‘p’ is stretched by a tension ‘T’. The correct relation between its fundamental frequency of vibration ‘f’, the length ‘L’ and the diameter ‘D’ is

A progressive wave of frequency 50 Hz is travelling with velocity 350 m/s through a medium. The change in phase at a given time interval of 0.01 s is

A simple harmonic progressive wave is given by y0sin2π=(nt- x/λ). If the wave velocity is (1/8)th the maximum particle velocity, then the wavelength is

A uniform metal wire has length ‘L’, mass ‘M’ and cross- sectional area ‘A’. It is under tension ‘T’ and ‘V’ is the speed of transverse wave along the wire. The density of the wire is

Two waves y1 = 0.35 sin (ω1 t) and y2 = 0.35 sin (ω2 t) are propagating along the same direction. The number of beats produced per seconds are

A pipe open at both ends and a pipe closed at one end have same length. The ratio of frequencies of air columns in their Pth overtone respectively is

A metal string of length ‘L’ and diameter ‘d’ is vibrating with the fundamental frequency ‘n’ when tension ‘T’ is applied to it. Keeping the tension same, the length and diameter of the string are doubled. The frequency of vibration will be

Two open organ pipes of fundamental frequencies n1 and n2, are joined in series. The fundamental frequency of the new pipe is

When tension ‘T’ is applied to a sonometer wire of length ‘l’ it vibrates with the fundamental frequency ‘n’. Keeping the setup same, when the tension is increased by 8 N, the fundamental frequency becomes three times the earlier. The initial tension applied to the wire was:

The displacement of a wave travelling in the x direction y=10^-4 (sin 600t-2x+π/3) , where x is in metre and t in second. The speed of the wave is

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