Question

In the wave equation, $y=Asin\frac{2\pi }{a}(x-bt)$

• A. speed of wave is a
• B. speed of wave is b/a
• C. wavelength of wave is a
• D. time period of wave is b

Answer 1

Answer: (C), (D)

The correct options are
C wavelength of wave is a
D time period of wave is b

Here, $\omega =\frac{2\pi b}{a}$, $k=\frac{2\pi }{a}$

$⟹T=\frac{a}{b}$, $\lambda =a$

Thus $v=\frac{\lambda }{T}=b$

Hence option C is correct.