Part 1
An electron microscope operates with a beam of electrons, each of which has an energy of 20 KeV. Use the uncertainty principle in the form delta(x)delta(p) (greater or equal to) h/2 to find the smallest size that such a device could resolve. Planck's constant is 1.0552 × 10^-34 J · s. Answer in units of pm.

Part 2
What must the energy of each neutron in a beam of neutrons be in order to resolve the same size object?
Answer in units of eV.

Part 3
A beam of neutrons with a kinetic energy of 0.0002 eV falls on a slit of width 0.0001 m.
The Planck's constant is 6.63 × 10 ^-34 J · S.
What will be the angular spread of the beam after it passes through the slit?

Answer in units of radian.

Solution Preview

Hi C!

Here are the solutions to this problems set.

However, I must say I'm confused regarding the way the first problem is to be solved. It is stated that it should be solved using the uncertainty principle, while a more reasonable approach is the ...

Solution Summary

This solution provides step by step calculations for various questions involving Planck's constant.

... that 1 nm = 10-9 m. Step 2: convert the wavelength to frequency using ν=c ... Notice how in this question we used the information learned in questions 1 and 2. ...

... Five multi-part questions are fully solved and explained regarding ... the question asks for the answer to be in kJ ... You just count across using the s block, p block ...

... Broglie wavelength from λ = h / p For question part (d ... If you use SI units your answers for the De ... Some background: Using Bohr theory [1] the Bohr orbit (for ...

... Thank you for using Brainmass.com. ... Answer ALL parts of question 1 and TWO other questions. ... to the relative weights of the diﬀerent parts of each question. ...

... The questions are regarding quantum theory and the electronic structure of atoms. ... Use a number, not a word. 31-15 = 16. ... Hence inversely proportional Question 10. ...

...Question. ... 2 e − X dX = π Use the error ... differential equation, requiring initial conditions at time t and to be solved for t' > t. It is to be used if there ...

... 15 MULTIPLE CHOICE QUESTIONS ON MODERN PHYSICS PHOTONS AND ... is proportional to energy of the radiation used for all ... Sec (Planck's constant) and c= 3x 10 8 m ...

...Use propagation of uncertainties and the uncertainty in lambda ... thank you for posting your questions to Brainmass ... of the nucleus in the last question is somewhat ...

... Hello and thank you for posting your question to Brainmass ... Where h is Planck's constant. ... He + is a hydrogen-like ion, therefore we can use the Rydberg's formula ...