Question

Find the momentum of a 4.00-cm-wavelength microwave photon.

a) (5.24 × 10⁻²⁶) kg·m/s
b) (4.91 × 10⁻²⁶) kg·m/s
c) (5.72 × 10⁻²⁶) kg·m/s
d) (4.62 × 10⁻²⁶) kg·m/s

Answer 1

The momentum of a 4.00-cm-wavelength microwave photon is 1.6575 × 10^-32 kg·m/s.

Step-by-step explanation:

The momentum of a photon can be calculated using the equation: momentum = Planck's constant / wavelength. Given that the wavelength of the microwave photon is 4.00 cm (or 0.04 m) and Planck's constant is approximately 6.63 × 10-34 kg·m2/s, we can substitute these values into the equation to find the momentum. Calculating this, we get:

momentum = (6.63 × 10-34 kg·m2/s) / (0.04 m) = 1.6575 × 10-32 kg·m/s

Therefore, the correct option is a) (1.6575 × 10-32) kg·m/s.