Question

Calculate the momentum of a photon having a wavelength of (2.50 mu{m}).

a) (7.95 times 10⁻²⁸ {kg}cdot{m/s})
b) (1.26 times 10⁻²⁷ {kg}cdot{m/s})
c) (2.01 times 10⁻²⁷ {kg}cdot{m/s})
d) (3.19 times 10⁻²⁷ {kg}cdot{m/s})

Answer 1

The momentum of a photon with a wavelength of 2.50 µm is 2.65 × 10⁻²⁷ kg·m/s. Therefore, option c) (2.01 × 10⁻²⁷ kg·m/s) is the correct answer.

Step-by-step explanation:

The momentum of a photon can be calculated using the equation:

momentum = planck's constant / wavelength

Given the wavelength of the photon, which is 2.50 µm (2.50 × 10⁻⁶ m), and the value of Planck's constant (h = 6.63 × 10⁻³⁴ J·s), we can plug these values into the equation and solve for momentum. The momentum of a photon with a wavelength of 2.50 µm is 2.65 × 10⁻²⁷ kg·m/s. Therefore, option c) (2.01 × 10⁻²⁷ kg·m/s) is the correct answer. Calculating the momentum, we get:

momentum = (6.63 × 10⁻³⁴ J·s) / (2.50 × 10⁻⁶ m)

momentum = 2.65 × 10⁻²⁷ kg·m/s.

Therefore, option c) (2.01 × 10⁻²⁷ kg·m/s) is the correct answer.