The equation of stationary wave along a stretched string is given by y = 5 sin 3 π x cos 40 π t , where, x and y are in cm and t in second. The separation between two adjacent nodes is :

Question

The equation of stationary wave along a stretched string is given by y = 5 sin 3 π x ​ cos 40 π t , where, x and y are in cm and t in second. The separation between two adjacent nodes is :

TestHub · Accepted Answer

Given, equation y = 5 sin 3 π x ​ cos 40 π t Comparing with standard equation y = A sin k x cos ω t ∴ ⇒ λ ​ k λ 2 π ​ = 6 cm ​ = 3 π ​ = 3 π ​ ​ Separation between two consecutive nodes = 2 λ ​ = 2 6 ​ = 3 cm

Physics - Wave on String Question with Solution | TestHub

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