Question

The displacement-distance graph for a particle in a wave is shown below. Then the value of 'R' is______, if,

$(2\lambda +Ris3timestheamplitudeofthewave)$ where $\lambda$ is the wavelength.

• A. $8$
• B. $28$
• C. $15$
• D. $5$

Answer 1

The correct option is B

$28$

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) is $12cm$ and its wavelength$\left(\lambda \right)is4m$

And the given expression is:-

$2\lambda +Ris3timestheamplitudeofthewave$

$\Rightarrow 2\lambda +R=3\times 12$

$\Rightarrow R=36-8=28$