Question

A wave executes a periodic motion $y=2\sin \frac{\pi }{4}\left(4t+\frac{x}{2}\right)$. What is the frequency?

• (A) 0.5 Hz
• (B) 1.0 Hz
• (C) 0.25 Hz
• (D) 2.0 Hz

Answer 1

The Correct Option is A

Explanation:
Given that:$y=2\sin \frac{\pi }{4}\left(4t+\frac{x}{2}\right)=2\sin \left(\pi t+\frac{\pi x}{8}\right)$$A = 2; w= \pi rad/s$$\omega =2\pi f$$f=0.5 Hz$Hence, the correct option is (A).