When a child fires an air gun that discharges a 0.35 g steel pellet at a velocity of 162 km/h, what is the wavelength in meters of the pellet?

Respuesta :

Answer:

[tex]4.2\cdot 10^{-32} m[/tex]

Explanation:

The De Broglie's wavelength of an object is given by:

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

where

h is the Planck constant

m is the mass of the object

v is the speed of the object

In this problem, we have:

[tex]m=0.35 g=3.5\cdot 10^{-4} kg[/tex] is the mass of the pellet

[tex]v=162 km/h=45 m/s[/tex] is the speed of the pellet

Substituting into the equation, we find the wavelength of the pellet:

[tex]\lambda=\frac{6.63\cdot 10^{-34} Js}{(3.5\cdot 10^{-4}kg)(45 m/s)}=4.2\cdot 10^{-32} m[/tex]