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How do you solve this problem? I don' t even know whereto begin. A Ferrari with a mass of 1400 kg approaches a freeway underpassthat is 10 m across. A

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asked 2021-02-21
How do you solve this problem? I don' t even know whereto begin.
A Ferrari with a mass of 1400 kg approaches a freeway underpassthat is 10 m across. At what speed must the car be moving, inorder for it to have a wavelength such that it might somehow"diffract" after passing through this "single slit"? How dothese conditions compare to normal freeway speeds of 30m/s?

Expert Answers (1)

2021-02-23
For diffraction the wave length must be of the order of the opening.
The wavelength \(\displaystyle?={\frac{{{h}}}{{{p}}}}={\frac{{{h}}}{{{m}{v}}}}\)
Or \(\displaystyle{10}{m}={6.63}\cdot{10}^{{-{34}}}{J}\frac{{s}}{{{1400}{k}{g}\cdot{v}}}\)
Or \(\displaystyle{v}={4.7}\cdot{10}^{{-{38}}}\) m/s
At a speed of 30m/s , calculate the wavelength?
If ? << than 10m there will be no diffraction.
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