Homework%2003

# Homework%2003 - 10 86 7 10 52 3 10 5 1 10 27 5 10 27 5 10 2...

This preview shows pages 1–2. Sign up to view the full content.

EEE 539—Spring 2008 Homework 3 O.K. I only got a 40/50 on this set! 2.11 When the uncertainty principle is considered, it is not possible to locate a photon in space more precisely than about 1 wavelength. Consider a photon with wavelength λ = 1 µ m. What is the uncertainty in the photon’s (a) momentum and (b) energy? (a) 29 6 34 10 27 . 5 10 2 10 05459 . 1 2 2 × = × = = = h h x p kg-m/s. (b) eV J hc hf E 24 . 1 10 2 10 10 3 10 626 . 6 19 6 8 34 = × = × × = = = 2.12 The uncertainty in position is 1.2 nm for a particle of mass 5 × 10 -29 kg. Determine the minimum uncertainty in (a) the momentum of the particle, and (b) the kinetic energy of the particle. (a) 26 9 34 10 4 . 4 10 2 . 1 2 10 05459 . 1 2 × = × × = = x p h kg-m/s. (b) Since we don’t know the momentum of the particle, we have to make the simple assumption that . 120 10 94 . 1 10 5 2 ) 10 4 . 4 ( 2 ) ( ~ 23 29 2 26 2 eV J m p E = × = × × = 2.14 An automobile has a mass of 1500 kg. What is the uncertainty in the velocity (in miles per hour) when its center of mass is located with an uncertainty of no greater than 1 cm?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: . 10 86 . 7 / 10 52 . 3 10 5 . 1 10 27 . 5 / 10 27 . 5 10 2 10 05459 . 1 2 36 36 3 33 33 2 34 mph s m m p v s m kg x p − − − − − − × = × = × × = ∆ = ∆ − × = ⋅ × = ∆ = ∆ h 2.17 Consider the wave function t i e x A t x ω π ψ − = ) sin( ) , ( for -1 ≤ x 1. Determine A so that . 1 ) , ( 1 1 2 = ∫ − dx t x [ ] . , 1 2 2 ) 2 sin( 2 1 2 2 ) 2 cos( 1 ) ( sin 1 2 2 1 1 2 1 1 2 1 1 2 2 i A A A x x A dx x A dx x A ± ± = = − = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − = − = = − − − ∫ ∫ π 2.18 Consider the wave function t i e x n A t x ω ψ − = ) sin( ) , ( for 0 ≤ x 1. Determine A so that . 1 ) , ( 1 2 = ∫ dx t x [ ] . 2 , 2 1 2 ) 2 sin( 2 1 2 2 ) 2 cos( 1 ) ( sin 1 2 2 1 2 1 2 1 2 2 i A A A x n n x A dx x n A dx x n A ± ± = = − = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − = − = = ∫ ∫...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Homework%2003 - 10 86 7 10 52 3 10 5 1 10 27 5 10 27 5 10 2...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online