Why is there no wavelength of big material objects like...balls?

Question

Acricket ball of mass 20g moving with a velocity of 50 m/s. What will be its wavelength?
The answer is planck's constant 6.63 x 10 ^-34 . What is the scientific reason behind this?

And also an electron is moving with velocity 10 x 10^6 m/s. What will be its wavelength?

Answer 1

De Broglie predicts that all matter has an associated wavelength which is dependent on its momentum.

λ = h / p
Wavelength = Planck’s constant divided by momentum.
Planck’s constant, h, is a VERY small number (6.63 E-34 J s). In order to get a very large / measurable wavelength, you will need to have a very small momentum.

P = m * v
Momentum = mass * velocity

For things like cricket ball’s which have “large” masses (20 g) and velocities (50 m/s), you will get a pretty sizable momentum.
P = (.02 kg) * (50 m/s) = 1 kg m/s
So the corresponding wavelength would be,
λ = (6.63 E-34 J s) / (1 kg m/s)
λ = 6.63 E-34 meters
This is incredibly small, too small to measure in practicality.

Now consider something with much less mass, like an electron.
The mass of an electron is 9.11 E-31 kg. If the electron is moving at a speed of10 E6 m/s, it will have a momentum of,
P = (9.11 E-31 kg) * (10 E6 m/s) = 9.11 E-24 kg m/s
This momentum is very tiny even though the electron is moving very fast.
Finding the corresponding wavelength for the electron at this speed,
λ = (6.63 E-34 J s) / (9.11 E-24 kg m/s)
λ = 7.28 E-11 meters

This wavelength is still very small, but it is 23 orders of magnitude larger than the cricket ball’s wavelength (that is like comparing your mass to that of the Earth).
Even though the electron’s wavelength is small…it is measurable and it is possible to confirm the wave nature of things which were formerly though to only be particles (like electrons, neutrons, protons, …).

Answer 2

Energy levels determine the wavelength. A ball has imparted energy and does not move in a wave fashion and a ball is not a particle or a wave, it is manmade object - the electrons of the atoms that make up the ball move in given, defined waves, the ball does not - well if you could take the ball to absolute zero degrees, it would be be in super postion and probably occupy a space about the size of a football field.

Electrons are both particles and waves depending on the question you ask.

You are comparing apples and oranges.

Answer 3

by De Brogaly concept[duel nature of matter]

wavelength=h/mv
ie greater the mass [m]or velocity [v] smaller the wave length

that is why we can not reconize wave motion of cricket ball[due to its large mass]