Question

Given below are two statements:

Statement 1: Two photons having equal linear momenta have equal wavelengths

Statement 2: If the wavelength of a photon is decreased, then the momentum and energy of a photon will also decrease.

In the light of the above statements, choose the correct answer from the options given below.

• A. Statement 1 is false but statement 2 is true
• B. Both statement 1 and statement 2 are true
• C. Both statement 1 and statement 2 are false
• D. Statement 1 is true but statement 2 is false

Answer 1

The correct option is D

Statement 1 is true but statement 2 is false

Answer: (D)

Explanation for correct option:

If linear momentum is equal then the wavelength is also equal

$\mathrm{p}=\frac{\mathrm{h}}{\mathrm{\lambda }},\mathrm{E}=\frac{\mathrm{hc}}{\mathrm{\lambda }}$

Hence, the energy of photons increases as the wavelength of light decreases. Also, the momentum of the photon

$$\begin{gathered} \mathrm{p}=\mathrm{E}/\mathrm{c} \\ \mathrm{p\alpha E} \end{gathered}$$

Thus, the momentum of the photon also increases as its wavelength decreases.

Hence option (D) is the correct answer.