Question

A γ-ray photon has a momentum of (8.00 times 10⁻²¹ {kg}cdot{m/s}). What is its wavelength?

a) (2.48 times 10⁻¹³ {m})
b) (3.10 times 10⁻¹³ {m})
c) (3.86 times 10⁻¹³ {m})
d) (4.82 times 10⁻¹³ {m})

Answer 1

The wavelength of the γ-ray photon is approximately 8.28 x 10^-14 m.

Step-by-step explanation:

To find the wavelength of a γ-ray photon, we can use the equation:

λ = h/p

Where λ is the wavelength, h is Planck's constant (6.626 x 10-34 J.s), and p is the momentum of the photon.

Given that the momentum of the photon is 8.00 x 10-21 kg.m/s, we can substitute these values into the equation to find the wavelength:

λ = (6.626 x 10-34 J.s) / (8.00 x 10-21 kg.m/s)

λ = 8.28 x 10-14 m

Therefore, the wavelength of the γ-ray photon is approximately 8.28 x 10-14 m.