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Question: The equation of a stationary wave along a stretched string is given by y = 4 sin \(\frac{2\pi x}{3}\...

The equation of a stationary wave along a stretched string is given by y = 4 sin 2πx3\frac{2\pi x}{3}cos 40 pt where x and y are in cms and t is in secs. The separation between two adjacent nodes is–

A

3 cm

B

1.5 cm

C

6 cm

D

4 cm

Answer

1.5 cm

Explanation

Solution

N – N = λ2\frac{\lambda}{2} & 2πλ\frac{2\pi}{\lambda}x = 2πx3\frac{2\pi x}{3}

l = 3