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Question

Question: The equation of stationary wave along a stretched string is given by y = 5 sin \(\frac{\pi x}{3}\)co...

The equation of stationary wave along a stretched string is given by y = 5 sin πx3\frac{\pi x}{3}cos 40 p t Where x and y are in cm and t in second. The separation between two adjacent nodes is–

A

1.5 cm

B

3 cm

C

6 cm

D

4 cm

Answer

3 cm

Explanation

Solution

y = 5 sin π3\frac{\pi}{3}x cos 40p t

k = 2πλ\frac{2\pi}{\lambda}= π3\frac{\pi}{3}̃ l = 6 cm

d = λ2\frac{\lambda}{2}= 3 cm