Question

Topic

The uncertainty principle arises from a common-sense idea: To measure something, you must affect it somehow. For instance, when you use a pressure gauge to measure air pressure in a car tire you release a small amount of air into the gauge.

For this discussion, you’ll think through some other situations involving the uncertainty principle.

In your initial discussion post, address the following:

• When you shine a light on an object, the momentum from the photons that make up that light impacts the object. For macroscopic objects, this will have no measurable effect. Describe why this is different for atomic-sized objects.
• Suppose you shine a very long wavelength light on one electron and a very short wavelength light on another electron. What differences will you observe?
• Why does shining very short wavelength photons on an electron not tell you exactly where the electron is?
• Describe two other examples of situations in which measuring something about an object somehow changes it.

I need Perfect and typed solution. SO answer only typed,. and perfect one

Answer 1

Another situation involving uncertainty principle:

Inorder to observe an electron,we shine a light pulse on the electron.The electron interacts with the photon and it subsequently changes the state of the electron.Thus, the light pulse used to observe the electron has affected it.

Second part:

The wavelength of light is comparable to the wavelength of microscopic particles this is why it can impact the microscopic particles.

Third part:

If you shine a very long wavelength on the electron then it's momentum uncertainty will be small.Since uncertainty in momentum is approximately equal to h/wavelength.Smaller uncertainty in momentum will result in greater uncertainty in position.

Now, if shorter wavelength is used,smaller will be the uncertainty in position.But light of short wavelength will have increased uncertainty in momentum.This is because an increased momentum will disturb the electon's motion.