In an organ pipe (which may be closed or open) of  99cm  length, standing wave is set up whose equation is given by longitudinal displacement.x = 0.3 mm cos [(2 π /0.8) (z + 0.01 m)] cos 400 twhere  z  is measured from the top of tube in metres and  t  is in seconds. Take end correction  =  1cm . choose the correct statements.

In an organ pipe with one end closed, a standing wave is formed. If the wave speed of longitudinal wave is  v  in the air contained by organ pipe and length of pipe is  ℓ , then equation of wave can be represented by

An organ pipe is open at both ends. The frequency of the third mode is 320 Hz higher than the frequency of the second mode. If the speed of sound is 345 m/s, then what is the length of the organ pipe?

An open organ pipe has a fundamental frequency of 300 Hz. The first overtone of a closed organ pipe has the same frequency as the first overtone of the open pipe. Find the length of each pipe. (velocity of sound = 330 m/s)0.45 m and 0.3125 m0.42 m and 0.7615 m0.35 m and 0.85 m0.55 m and 0.4125 m

A string with a mass per length of 2.00 g/m is stretched with a force of 120 N between two points that are 0.400 m apart. The fundamental frequency of the stretched string is in tune with the frequency of the second mode of an organ pipe filled with air and open at both ends. The speed of sound in air at 0°C is 331 m/s. What is the length of the organ pipe?

A 20 cm long organ pipe is filled with air and is open at one end and closed at the other. The speed of sound in air at 0°C is 331 m/s. What is the wavelength of the fundamental mode?