Few waves traveling on a string stretched along x-axis are given:
(I) y 1 = 0.02 sin (20 πt – πx + π/2
(II) y 2 = 0.02 sin (πx – 20πt)
(III) y 3 = 0.03 sin (20πt + πx)
(IV) y 4 = 0.04 sin (2πx – 40πt + π/3)
(V) y 5 = 0.02 cos (20πt + πx)
(i) Standing wave can be formed between –
Text Solution
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(i)
Sol. Two waves will interfere to produce standing wave only if
(i) Amplitude is same
(ii) Travelling in opposite direction
(ii)
Sol. Two waves will interfere to produce beats only if (i) Frequency is slightly difference
(iii)
Sol. Phase difference between wave III and V is π/2
∴ Amplitude = 
= 0.0361
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