Question

What are the amplitude and wavelength of the wave shown in the figure given below?

• A. $1cm,\frac{160}{9}cm$
• B. $0.5cm,\frac{140}{9}cm$
• C. $05cm,\frac{160}{9}cm$
• D. $1cm,\frac{140}{9}cm$

Answer 1

The correct option is C $05cm,\frac{160}{9}cm$

Amplitude(A) is the maximum displacement of wave particle in either direction.

Amplitude, A = 0.5 cm

Wavelength $\left(\lambda \right)$ is defined as the distance between two consecutive crests or throughs.




From the figure:

$OA=\lambda ,AB=\lambda andBC=\frac{\lambda }{4}OC=OA+AB+BC=\lambda +\lambda +\frac{\lambda }{4}=(40–0)cm\Rightarrow \frac{9\lambda }{4}=40cm\Rightarrow \lambda =\frac{160}{9}cm$

Thus, the amplitude and the wavelength of the wave are 0.5 cm and $\frac{160}{9}cm$ respectively.


Hence, the correct answer is option (c).