Explanation Write the expression to obtain the energy level at different transition states. E n = h 2 n 2 8 m l 2 (I) Here, E n is the energy level at different transition states, h is the Planck’s constant, n is the transition level, m is the mass of the electron and l is the distance between the two transition level. Write the expression to obtain the wave function. ψ n = 2 l sin ( n π x l ) (II) Here, ψ n is the wave function for n transition level, l is the distance between the different transition levels. Conclusion: Substitute 6.63 × 10 − 34 J ⋅ s for h , 9.1 × 10 − 31 kg for m , 2.0 nm for λ , and 1 for n in equation (I) to calculate E 1 . E 1 = ( 6.63 × 10 − 34 J ⋅ s ) 2 ( 1 ) 2 8 ( 9.1 × 10 − 31 kg ) ( 2.0 nm ) 2 = ( 6.63 × 10 − 34 J ⋅ s ) 2 8 ( 9.1 × 10 − 31 kg ) ( 2.0 nm × 1 m 10 9 nm ) 2 ( 1.6 × 10 − 19 J 1 eV ) = 4.39569 × 10 − 67 4.6592 × 10 − 66 eV = 0.094 eV Substitute 6.63 × 10 − 34 J ⋅ s for h , 9.1 × 10 − 31 kg for m , 2.0 nm for λ , and 2 for n in equation (I) to calculate E 2 . E 2 = ( 6.63 × 10 − 34 J ⋅ s ) 2 ( 2 ) 2 8 ( 9.1 × 10 − 31 kg ) ( 2.0 nm ) 2 = ( 4 ) ( 6.63 × 10 − 34 J ⋅ s ) 2 8 ( 9.1 × 10 − 31 kg ) ( 2.0 nm ( 1 m 10 9 nm ) ) 2 ( 1.6 × 10 − 19 J 1 eV ) = 4 ( 0.094 eV ) = 0.38 eV Substitute 6.63 × 10 − 34 J ⋅ s for h , 9.1 × 10 − 31 kg for m , 2.0 nm for λ , and 3 for n in equation (I) to calculate E 3 . E 3 = ( 6.63 × 10 − 34 J ⋅ s ) 2 ( 3 ) 2 8 ( 9.1 × 10 − 31 kg ) ( 2.0 nm ) 2 = ( 9 ) ( 6.63 × 10 − 34 J ⋅ s ) 2 8 ( 9.1 × 10 − 31 kg ) ( 2.0 nm ( 1 m 10 9 nm ) ) 2 ( 1

4th Edition

ISBN: 9780134112039

Author: GIANCOLI

Publisher: PEARSON

See similar textbooks

Question

Chapter 38, Problem 27P

To determine

The lowest four energy levels and wave functions for an electron trapped in an infinitely deep potential well of width 2.0 nm.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 38, Problem 26P

Chapter 38, Problem 28P

Students have asked these similar questions

A 4.40 kg steel ball is dropped onto a copper plate from a height of 10.0 m. If the ball leaves a dent 2.75 mm deep, what is the average force exerted by the plate on the ball during the impact? N

A block of mass m = 7.00 kg is released from rest from point and slides on the frictionless track shown in the figure below. (Assume h₂ = 7.80 m.) a m ha 3.20 m 2.00 m i (a) Determine the block's speed at points ® and point B ©. m/s m/s point (b) Determine the net work done by the gravitational force on the block as it moves from point J A to point

A 1.10 x 10²-g particle is released from rest at point A on the inside of a smooth hemispherical bowl of radius R R B 2R/3 (a) Calculate its gravitational potential energy at A relative to B. ] (b) Calculate its kinetic energy at B. ] (c) Calculate its speed at B. m/s (d) Calculate its potential energy at C relative to B. J (e) Calculate its kinetic energy at C. ] = 26.5 cm (figure below).

Chapter 38 Solutions

PHYSICS FOR SCIEN & ENGNR W/MOD MAST

Ch. 38.3 - Prob. 1AE Ch. 38.8 - Prob. 1BE Ch. 38.8 - Prob. 1CE Ch. 38.9 - Prob. 1DE Ch. 38 - Prob. 1Q Ch. 38 - Prob. 2Q Ch. 38 - Prob. 3Q Ch. 38 - Prob. 4Q Ch. 38 - Would it ever be possible to balance a very sharp...Ch. 38 - Prob. 6Q

Ch. 38 - Prob. 7Q Ch. 38 - Prob. 8Q Ch. 38 - Prob. 9Q Ch. 38 - Prob. 10Q Ch. 38 - Prob. 11Q Ch. 38 - Prob. 12Q Ch. 38 - Prob. 13Q Ch. 38 - Prob. 14Q Ch. 38 - Prob. 15Q Ch. 38 - Prob. 16Q Ch. 38 - Prob. 17Q Ch. 38 - Prob. 18Q Ch. 38 - Prob. 1P Ch. 38 - Prob. 2P Ch. 38 - Prob. 3P Ch. 38 - Prob. 4P Ch. 38 - Prob. 5P Ch. 38 - Prob. 6P Ch. 38 - Prob. 7P Ch. 38 - Prob. 8P Ch. 38 - Prob. 9P Ch. 38 - Prob. 10P Ch. 38 - Prob. 11P Ch. 38 - Prob. 12P Ch. 38 - Prob. 13P Ch. 38 - Prob. 14P Ch. 38 - Prob. 15P Ch. 38 - Prob. 16P Ch. 38 - Prob. 17P Ch. 38 - Prob. 18P Ch. 38 - Prob. 19P Ch. 38 - Prob. 20P Ch. 38 - Prob. 21P Ch. 38 - Prob. 22P Ch. 38 - Prob. 23P Ch. 38 - Prob. 24P Ch. 38 - Prob. 25P Ch. 38 - Prob. 26P Ch. 38 - Prob. 27P Ch. 38 - Prob. 28P Ch. 38 - Prob. 29P Ch. 38 - Prob. 30P Ch. 38 - Prob. 31P Ch. 38 - Prob. 32P Ch. 38 - Prob. 33P Ch. 38 - Prob. 34P Ch. 38 - Prob. 35P Ch. 38 - Prob. 36P Ch. 38 - Prob. 37P Ch. 38 - Prob. 38P Ch. 38 - Prob. 39P Ch. 38 - Prob. 40P Ch. 38 - Prob. 41P Ch. 38 - Prob. 42P Ch. 38 - Prob. 43P Ch. 38 - Prob. 44P Ch. 38 - Prob. 45P Ch. 38 - Prob. 46GP Ch. 38 - Prob. 47GP Ch. 38 - Prob. 48GP Ch. 38 - Prob. 49GP Ch. 38 - Prob. 50GP Ch. 38 - Prob. 51GP Ch. 38 - Prob. 52GP Ch. 38 - Prob. 53GP Ch. 38 - Prob. 54GP Ch. 38 - Prob. 55GP Ch. 38 - Prob. 56GP Ch. 38 - Prob. 57GP Ch. 38 - Prob. 58GP Ch. 38 - Prob. 59GP

Knowledge Booster

Similar questions

SEE MORE QUESTIONS

Recommended textbooks for you

Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning