Waves Test - 61...

Two stretched strings have lengths l and 2l while tensions are T and 4T respectively. If they are made of same material the ratio of their frequency is

A standing wave is produced in a string fixed at both ends. In this case

A uniform wire of length L, diameter D and density ρ is stretched under a tension T. The correct relation between its fundamental frequency ‘f \', the length L and the diameter D is

The length of two open organ pipes are l and (l + ∆l) respectively. Neglecting end correction, the frequency of beats between them will be approximately
(Here v is the speed of sound)

A tube closed at one end and containing air is excited. It produces the fundamental note of frequency 512 Hz. If the same tube is open at both the ends the fundamental frequency that can be produced is

A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio

The first overtone in a closed pipe has a frequency

An empty vessel is partially filled with water, then the frequency of vibration of air column in the vessel

The fundamental frequencies of an open and a closed tube, each of same length L with v as the speed of sound in air, respectively are