Question

The equation of transverse wave is given by $y=5\sin 2\pi (\frac{t}{0.04}-\frac{x}{40}),$ where distance is in $\mathrm{cm}$ and time insecond. The wavelength of wave will be

• (A) 20 cm
• (B) 40 cm
• (C) 60 cm
• (D) None of these

Answer 1

The Correct Option is B

Explanation:
The standard equation of transverse wave is$$y=a\sin 2\pi [\frac{t}{T}-\frac{x}{\lambda }]$$where $\lambda$ is wavelength and $a$ is amplitude.Given, equation is$$y=5\sin 2\pi [\frac{t}{0.04}-\frac{x}{40}]$$Comparing Eqs.(i) and (ii), we get$\Rightarrow$$$\begin{array}{l}\frac{x}{\lambda }=\frac{x}{40}\\ {\lambda }_2=40\mathrm{cm}\end{array}$$