Question

Which of the following statements is false?
A.Photon has momentum as well as wavelength
B.Frequency of emitted radiation from a lower wavelength to higher wavelength as the temperature increases.
C.Rydberg constant has units of energy
D.Splitting of spectral lines in an electric field is called the stark effect.

Answer 1

Whenever temperature increases, energy increases and hence so frequency, but wavelength has inverse relation with frequency and energy. When energy increases wavelength decreases.

Complete step by step solution:
Let us look at each of the statements to find out whether they are correct or not:
A photon has both wave-like and particle-like characters. Einstein photoelectric effect proves the particle nature of the photon and we know a particle has momentum and hence the photon also has momentum. The young’s double slit experiment validates the wave character and a wave has a wavelength. So the statement 1 is correct.
As we know, if we increase the temperature, energy increase and frequency increases according to the formula ${\text{E}} = {\text{h}} \nu$ and $\nu = \dfrac{{\text{c}}}{\lambda }$ so energy is inversely proportional to the wavelength.
With rise in temperature as energy and frequency increases, wavelength should decrease. Hence frequency must shift from a higher wavelength to a lower wavelength instead of the lower wavelength to higher. Hence the statement two is incorrect.
Rydberg’s constant has the same unit as energy. This statement is also correct.
The splitting of spectral lines in the presence of electric field is known as Stark effect and the splitting of light in the presence of magnetic field is known as Zeeman Effect.
We had to find the incorrect statement,

so the correct answer is B.

Note: ${\text{E}} = {\text{h}} \nu$, this relation is used to find the energy of a photon. Here E is the energy of the photon h is the Planck's constant and $\nu$ is the frequency of the photon. The above relation was given by Plank and Einstein.