Question

Which statement A–D about the wave function for a single electron is not correct? a. A French graduate student named Louis de Broglie first had the idea that an electron should be described as a wave. b. Since nl = c, an expression for the wavelength of an electron can be found by combining Einstein’s equation that relates mass and energy (E = mc2) with his equation that gives the energy of a photon in terms of its frequency (E = hn). c. The square of the wave function’s amplitude at a particular point in space gives the probability density of finding the electron at that point. d. Wave functions can have nodes, which are points where the amplitude is zero. e. Statements A–D are all correct

Answer 1

a) Louis de Broglie equation (Lambda = h/mv) indicate wave has both particle and wave nature. Thus, de Broglie first had the idea that an electron should be described as a wave. Hence, it is correct statement

b) The energy of a photon in terms of its frequency (E = hn). Hence, it is correct statement

c)The square of the wave function’s amplitude at a particular point in space gives the probability density of finding the electron at that point. Hence, it is correct statement

d) Node is a point, where the amplitude is zero. Hence, it is correct statement

Therefore, the correct option is e that is Statements A–D are all correct