Calculating Minimum Resulting Uncertainty and Minimum Kinetic Energy
Not what you're looking for?
Part 1
Suppose optical radiation (of wavelength 2.6 × 10^-7 m) is used to determine the position of an electron to within the wavelength of the light. The mass of an electron is 9.10939 × 10^-31 kg and the Planck's constant is 6.62607 × 10^-34 J · s.
What will be the minimum resulting uncertainty in the electron's velocity?
Answer in units of m/s.
Part 2
We wish to measure simultaneously the wavelength and position of a photon.
Assume that the wavelength measurement gives lamba = 4673 x 10^-10 with an accuracy of delta lambda/lamda = 5.9 × 10^-6 .
What is the minimum uncertainty in the position of the photon? Use propagation of uncertainties and the uncertainty in lambda to calculate the uncertainty in the momentum.
Answer in units of m.
Part 3
The kinetic energy of a nonrelativistic particle can be written in terms of its momentum as
K = p ^2 /2 m .
Planck's constant is 6.63 × 10^-34 J · s.
What is the minimum kinetic energy of a proton confined within a nucleus having a diameter of 6 × 10^-16 m?
Answer in units of MeV.
Purchase this Solution
Solution Summary
This solution provides calculations for minimum resulting uncertainty and minimum kinetic energy.
Solution Preview
Hello and thank you for posting your questions to Brainmass.
The solution is attached in two files which are identical in content but differ in format. ...
Purchase this Solution
Free BrainMass Quizzes
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.
The Moon
Test your knowledge of moon phases and movement.
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.
Basic Physics
This quiz will test your knowledge about basic Physics.