Question

Calculate the wavelength of a football (425g) thrown by an NFL quarterback traveling at 50mph

Answer 1

Wavelength is 6.976 x 10^ -35 m

Explanation:

In this, we can use De Broglie’s equation. This equation is the relationship between De Broglie’s wavelength, velocity and the mass of a moving object. In this equation, we are using plank's constant which is 6.626 x 10^-34 m^2 kg/s.

We know that one mile per hour is equivalent to 0.447 M/S.

And One gram is equivalent to 10^-3 kg.

De Broglie’s wavelength = λ ( wave length) = Plank’s constant/ Mass x velocity

λ ( wave length) = 6.626 x 10^ -34/ (425 x10^-3) x ( 50 x 0.447)

                                 = 6.626 x 10^ -34/ 0. 425 x 22.35

                                 = 6.626 x 10^ -34/ 9.498

                                 = 6.976 x10^ -35 m

So, the wavelength of the football will be 6.976 x 10^ -35 m