Q. 165.0( 2 Votes )

A steel rod

Answer :

Given,


Length of the steel rod, L = 100 cm = 1 m


Fundamental frequency of vibration, f = 2.53 kHz = 2.53 × 103 Hz When the rod is plucked at its mid-point, an antinode (A) is formed at its centre, and nodes (N) are formed at its two ends.


The distance between two successive node is λ/2.


L = λ/2


λ = 2L


λ = 2 × 1 m


λ = 2 m


The speed of sound in steel is given by


v =


v = 2.53 × 103 Hz × 2 m


v = 5.06 × 103 m s-1


v = 5.06 km s-1


NOTE: A node is a point along a standing wave where the wave has minimum amplitude. The opposite of a node is an anti-node, a point where the amplitude of the standing wave is a maximum.


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