What is the wavelength of a 2500 kg truck traveling at a rate of 75km/h?

Given data

mass of truck (m) = 2500 Kg,

speed of truck (v) = 75 Km/h,

= 75 * (5/18) m/s

(since 1Km = 1000 meters and 1hr = 3600 seconds)

= 20.83 m/s

Determine the wavelength (λ) = ?

We know that,

wave length (λ) = h/mv

where, h = plank's constant, it is a physical constant

= 6.626 * 10⁻³⁴ J-s

m = mass of the object in kg

v = velocity/speed of the object in m/s

Now, substituting all the values in the equation of wave length

λ = 6.626 * 10⁻³⁴ / (2500 * 20.83)

= 1.2723 * 10⁻³⁸ m

Wave length of the truck is 1.2723 * 10⁻³⁸ m

m = mass of the truck traveling = 2500 kg

v = speed of the truck traveling = 75 km/h = 75 (km/h) (1000 m / 1 km) (1 h / 3600 sec) = 20.83 m/s

h = plank's constant = 6.63 x 10⁻³⁴

λ = wavelength of truck = ?

according to de broglie's principle, wavelength of truck is given as

λ = h / (mv)

inserting the values in the above equation

λ = (6.63 x 10⁻³⁴) / ((2500) (20.83))

λ = 1.3 x 10⁻³⁸ m