Question

The equation of a stationary wave is: $y=4sin\left(\frac{\pi x}{15}\right)cos\left(96\pi t\right)$. The distance between a node and its next antinode is

• A. 7.5 units
• B. 1.5 units
• C. 22.5 units
• D. 30 units

Answer 1

The correct option is A 7.5 units

Comparing the given equation with a standard stationary wave equation, we get
$k=\frac{\pi }{15}=\frac{2\pi }{\lambda }\Rightarrow \lambda =30$ units

Distance between node and next anti-node, $\frac{\lambda }{4}=\frac{30}{4}=7.5$ units