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Column I shows four systems, each of the...

Column I shows four systems, each of the same length L, for producing waves. The lowest possible natural frequency of a system is called its fundamental frequency, whose wavelength is denoted as `lambda_(f)`. Match each system with statements given in Column II describing the nature and wavelength of the standing waves.

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A, B, C, D
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Two wires each carrying a steady current I are shown in four configurations in Column I. Some of the resulting effects are described in Column II. Match the statements in Column I with the statements in Column II and the indicate your answer by darkening appropriate bubbles in the 4xx4 matrix given in the ORS.

A plano creates sound by gently strinking a taut wire with a soft hammer when a key on the piano is pressed.All piano wires in a given piano are approximately the same length.However, each wire is tied down at two points.the bridge and the giraffe. The length of the wire between the bridge and the agraffe is called the speaking length.The speaking length is the part of the wire that resonates.The point of the wire struck by the hammer is displaced perpendicularly to the wire's length.A standing wave is generated by the hammer strike, where v is the velocity of travelling wave.T is the tension in the wire, and mu is the mass per unit length of the wire. v=sqrt(T/mu) Tuning a piano involves adjustment of the tension in the wires until just the right pitch is achieved.Correct pitch is achieved by listening to the beat frequency between the piano and a precalibrated tuning fork. A piano with which of the following properties would deliver a note with the lowest pitch ?

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