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
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
