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.

Respuesta :

Answer:

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:

[tex] \lambda = \frac{h}{mv} [/tex]

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

[tex]\lambda = \frac{h}{mv} = \frac{6.62\cdot 10^{-34} J.s}{1.673\cdot 10^{-27} kg*2.90 \cdot 10^{8} m/s} = 1.36 \cdot 10^{-15} m[/tex]

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

I hope it helps you!