Question

What is the momentum of a photon with a wavelength of 0.0100 nm that could detect details of an atom?

a) 2.07 × 10^-24 kg⋅m/s
b) 4.14 × 10^-15 MeV
c) 1.24 MeV
d) 2.48 × 10^-16 MeV

Answer 1

The momentum of a 0.0100 nm wavelength photon is calculated using the equation p = h/λ, which results in 6.626 × 10-23 kg·m/s. However, this result does not match any of the provided options, suggesting an error in the options or the calculation.

Step-by-step explanation:

The momentum (p) of a photon can be calculated using the equation p = h/λ, where h is Planck's constant (h = 6.626 × 10-34 m2kg/s), and λ is the wavelength of the photon. For a photon with a wavelength of 0.0100 nm (or 1.00 × 10-11 m), its momentum can be found by substituting the values into the equation.

Calculating the momentum, p = (6.626 × 10-34 m2kg/s) / (1.00 × 10-11 m), we get p = 6.626 × 10-23 kg·m/s. However, none of the provided options match this result. Therefore, the correct option seems to be missing, or there is a mistake in the calculation or the understanding of the question.