Question: 12: The graph which shows the variation of the de Broglie wavelength ( \lambda ) of a particle and its associated momentum ( p ) is
Answer: Option (2)
Explanation:
According to de Broglie hypothesis, the wavelength associated with a moving particle is given by
\lambda = \frac{h}{p},
where h is Planck’s constant and p is the momentum of the particle.
This equation shows that the de Broglie wavelength \lambda is inversely proportional to the momentum p of the particle.
As the momentum increases, the wavelength decreases continuously, and the graph between
\lambda and p is a decreasing curve approaching the axes asymptotically.
Among the given graphs, option (2) correctly represents an inverse relationship between
wavelength and momentum.
Hence, the correct graph is shown in option (2).