First slide

Stationary waves

Question

Equation of a stationary wave is $y = 10 \sin \frac{πx}{4} \cos 20 πt .$ Distance between two consecutive nodes is

Easy

A

4
B

2
C

1
D

8

Solution

On comparing the given equation with standard equation $\frac{2 π}{λ} = \frac{π}{4} \Rightarrow λ = 8$
Hence distance between two consecutive nodes $\frac{λ}{2} = 4$

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