Statement-I: Two photons having equal linear momenta have equal wavelengths. Statement-II: If the wavelength of a photon is decreased,

Question

 Given below are two statements:

Statement-I: Two photons having equal linear momenta have equal wavelengths.

Statement-II: 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-I is false but Statement-II is true

b. Both Statement-I and Statement-II are true

c. Both Statement-I and Statement-II are false

d. Statement-I is true but Statement-II is false

Answer 1

Correct option is d) Statement-I is true but Statement-II is false 

Energy of photon

E = hc / λ

= E ∝ 1 / λ

Hence, energy of photon increases as the wavelength of light decreases. Also, momentum of the photon p = E / c

⇒ p ∝ E

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