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Chapter 6: Q68P (page 1317)

. BIO What is the de Broglie wavelength of a red blood cell, with mass 1.00 * 10-11 g, that is moving with a speed of 0.400 cm >s? Do we need to be concerned with the wave nature of the blood cells when we describe the flow of blood in the body?

Short Answer

Expert verified

We do not need to be concerned with the wave nature of the blood cell because its wavelength is very small, so its wave nature has no significant effect

Step by step solution

01

About de broglie Wavelength

de Broglie wavelength is an important concept while studying quantum mechanics. The wavelength (位) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength. A particle's de Broglie wavelength is usually inversely proportional to its force.

02

Determine the concern about wave nature

Knowns

. the de Broglie wavelength A of a particle with momentum

[I is given by:

is h Planck鈥榮 constant.

Given

The mass of the blood cell is \ and its speed is

Calculations

Since the speed of the blood cell is very small, We use the nonrelativistic equations-

Calculations

Since the speed of the blood cell is very small, We use the nonrelativistic equations-

The nonrelativistic momentum is given by:

So, the momentum of the blood cell is;

Now, we plug this value into equation (I), so we get the de Broglie Wavelength of the blood cell:

No, We do not need to be concerned with the wave nature of the blood cell because its wavelength is very small, so its wave nature has no significant effect

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