Find the wrong statement form the following about the equation of stationary wave given by Y = 0.04 cos ⁡ π x sin ⁡ 50 π t m where t is in second. Then for the stationary wave.

Step-by-step solution

Key Idea – The displacement of a wave in term of time period is given by y = A s i n 2 π t T - x λ This equation in terms of speed of wave (v), Becomes y = A s i n 2 π λ v t - x The given equation of wave is y = 0.04 cos ⁡ π x sin ⁡ 50 π t = 0.02 sin ⁡ 50 π t + π x + 0.02 sin ⁡ 50 π t - π x ∵ 2 s i n A . c o s B = sin ⁡ A + B . cos ⁡ A - B Thus, the given wave is the combination of two waves, y 1 = 0.02 sin ⁡ 50 π t + π x i n - v e x - d i r e c t i o n and y 2 = 0.02 sin ⁡ 50 π t - π x (in + v e x-direction) Compa