Question

The displacement-distance graph for a particle in a wave is shown below.
If $2\lambda +R=3A$ then find the value of R.
$\lambda$= wavelength of wave,
A = amplitude of wave

Answer 1

In the given displacement-distance graph, it shows the variation of displacement of a particle of the medium with distance at a given position, when a wave propagates through the medium.

Here, the amplitude $A=12cm$ and its wavelength$\left(\lambda \right)=4cm$

And the given expression is:-

$2\lambda +R=3A$

$\Rightarrow 2\times 4cm+R=3\times 12cm$

$\Rightarrow R=36-8=28cm$