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(D) According to the de-Broglie hypothesis,the wavelength $\lambda$ associated with a particle of momentum $p$ is given by the relation: $\lambda = \f

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(D) According to the de-Broglie hypothesis,the wavelength $\lambda$ associated with a particle of momentum $p$ is given by the relation: $\lambda = \frac{h}{p}$.This equation shows that $\lambda$ is inversely proportional to $p$ (i.e.,$\lambda \propto \frac{1}{p}$).Mathematically,this represents a rectangular hyperbola in the $\lambda$ versus $p$ plane.As $p$ increases,$\lambda$ decreases,and as $p$ approaches zero,$\lambda$ approaches infinity.Therefore,the graph that correctly represents this relationship is a rectangular hyperbola,which corresponds to Graph $D$.

Which of the following graphs correctly represents the de-Broglie wavelength $\lambda$ associated with a fundamental particle having linear momentum $p$?

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