First slide

Stationary waves

Question

The stationary wave produced on a string is represented by the equation $y = 5 \cos (πx / 3) \sin 40 πt$ . Where x and y are in cm and t is in seconds. The distance between consecutive nodes is

Easy

A

5 cm
B

$π$ cm
C

3 cm
D

40 cm

Solution

On comparing the given equation with standard equation $\Rightarrow \frac{2 π}{λ} = \frac{π}{3} \Rightarrow λ = 6 cm$ . Hence, distance between two consecutive nodes $\Rightarrow λ = 3 cm$

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