Calculate "de broglie" wavelength for each of the following, and use your numerical answers the to explain why macroscopic (large) objects are not ordinarily discussed in terms of their "wave-like" properties. a. an electron moving at .90 times the speed of light.
b. a 150-g ball moving at a speed of 10.m/s

a.

b.

Explanation:

The de Broglie wavelength can be found by the following equation:

Here:

is the de Broglie wavelength (in m);

is the Planck's constant, ;

is mass (in kg);

And the speed of light:

The fraction of the speed of light is:

Substituting into the equation:

b. Similarly, here we have:

And the velocity of:

We obtain:

Notice that the wavelength of a large object is smaller by a fraction of:

This means the de Broglie wavelength of a macroscopic object is negligible compared to the wavelength of a microscopic object.

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5.6⋅10−^19  j

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