Protons can be accelerated to speeds near the speed of light in particle accelerators. Calculate the wavelength of a proton moving at 2.90 x 108 m/s if the proton was a mass of 1.673 x10-24 g.

The wavelength of a proton is 1.36x10⁻¹⁵ m.

Explanation:

To find the wavelength (λ) of a proton we need to use the Broglie wave equation:

Where:

h: is the Planck's constant = 6.62x10⁻³⁴ J.s

m: is the proton's mass = 1.673x10⁻²⁴ g = 1.673x10⁻²⁷ kg

v: is the proton's speed = 2.90x10⁸ m/s

Therefore, the wavelength of a proton is 1.36x10⁻¹⁵ m.

I hope it helps you!