First slide
Stationary waves
Question

A string vibrates according to the equation y=5sin2πx3  cos20πt, where x and y are in cm and t in sec. The distance between two adjacent nodes is 

Moderate
Solution

y=5sin2πx3cos20πt,  comparing with equation 
y=2asin2πxλcos2πvtλλ=3, distance between two adjacent nodes =λ/2=1.5cm.

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