(a) Write the mathematical expressions for the de Broglie wavelength of a…
PHYSICS · Subjective · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter
Problem
(a) Write the mathematical expressions for the de Broglie wavelength of a non-relativistic particle
(i) in terms of its momentum p, and
(ii) in terms of the square root of its kinetic energy Ek.
(b) On separate axes, sketch the qualitative shapes of the following graphs for a non-relativistic particle of fixed mass:
(i) λ versus p, and
(ii) λ versus Ek. Label the axes with physical quantities and indicate the nature of the variation.
(c) Using the sketches in part (b), explain how each graph visually conveys the inverse proportionality between the de Broglie wavelength and the corresponding mechanical quantity. Comment on whether either graph has a non-zero intercept on either axis.