Calculate the de broglie wavelength of an electron and a one-ton car, both moving with speed of 100 km/hour. based on your calculation could you predict which will behave like a "quantum particle" and why. explain each step in words and detail.

Answer :

(a). The wavelength of electron is 26.22 μm.

(b).The wavelength of car is

Explanation :

Given that,

Speed = 100 km/hr

Mass of car = 1 ton

(a). We need to calculate the wavelength of electron

Using formula of wavelength

Put the value into the formula

(II).  We need to calculate the wavelength of car

Using formula of wavelength again

The wavelength of the electron is greater than the dimension of electron and the wavelength of car is less than the dimension of car.

Therefore, electron is quantum particle and car is classical.

Hence, (a). The wavelength of electron is 26.22 μm.

(b).The wavelength of car is .

measure their densities same density, same sub

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west