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answer the below question
Asked by sarveshvibrantacademy | 27 Mar, 2019, 10:47: AM
Expert Answer
displacement y = 10 sin 2π(100 t - 0.02 x) + 10 sin 2π(100 t + 0.02 x) .....................(1)
above expression can be written as : y = 10 sin(ωt + kx) + 10 sin(ωt - kx) ........................(2)
where ω = 2π100, or frequency = 100 Hz . k = 2π(0.02) = 2π/λ or wavelength λ = 50 units
we know the standing wave from eqn.(2) : y = 20 sin(kx) cos(ωt)
maximimum amplitude = 20 units, loop length = distance between successive nodes = λ/2 = 25 units
Answered by Thiyagarajan K | 27 Mar, 2019, 12:28: PM
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