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Q. The equation $y=5 \sin\left(\frac{\pi\,x}{25}\right) \cos(450t)$ represents the stationary wave setup in a vibrating sonometer wire, where x,y are in cm and t in second. The distance of second and third nodes from one end are(in cm).

Waves

Solution:

$\lambda = \frac{2 \pi}{k}$
distance of nodes x = 0, $\frac{\lambda}{2} ,\lambda.......$