Two waves are simultaneously passing through a string and their equations are : y 1 = A 1 sin k ( x - v t ) , y 2 = A 2 sin k x - v t + x 0 . Given amplitudes A 1 = 12 mm and A 2 = 5 mm , x 0 = 3 . 5

Question

Two waves are simultaneously passing through a string and their equations are : y 1 = A 1 sin k ( x - v t ) , y 2 = A 2 sin k x - v t + x 0 . Given amplitudes A 1 = 12 mm and A 2 = 5 mm , x 0 = 3 . 5 cm and wave number k = 6 . 28 cm - 1 . The amplitude of resulting wave will be _____ mm .

TestHub · Accepted Answer

Δ ϕ = kx 0 = 2 π λ x 0 = 2 π × 3 . 5 λ = 2 π k = 1 = 2 π × 35 10 = 7 π A R = 12 2 + 5 2 + 2 × 12 × 5 × cos ( 7 π ) = ( 12 - 5 ) 2 = 7 mm

Physics - Wave on String Question with Solution | TestHub

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