Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 38, Problem 4P
To determine
The minimum uncertainty in the energy of the state of an electron.
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(ii) A beam of electrons is incident on a barrier 5 eV
high and 0.5 nm wide. Find the energy they should
have if 1% of them are to get through the barrier.
(ii) A silicon detector contains a photoconductive layer of thickness 1 = 20mm. The refractive index of silicon is 4 and the absorption coefficient (a) of silicon in cm-1 is given by a = 10(7-6000) where I is wavelength in Å. Calculate the wavelength at which the quantum efficiency loss due to penetration through the device is equal to that due to re- flection at the surface.
(b) A photon is emitted by a doubly ionised lithium atom (Li²+) when an electron makes a
transition to the ground state. The wavelength of the photon is measured to be 10.83
nanometres.
Determine the principal quantum number and the energy of the initial state
The atomic number of lithium is Z = 3.
Chapter 38 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 38.3 - Prob. 1AECh. 38.8 - Prob. 1BECh. 38.8 - Prob. 1CECh. 38.9 - Prob. 1DECh. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Would it ever be possible to balance a very sharp...Ch. 38 - Prob. 6Q
Ch. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10QCh. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 17QCh. 38 - Prob. 18QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46GPCh. 38 - Prob. 47GPCh. 38 - Prob. 48GPCh. 38 - Prob. 49GPCh. 38 - Prob. 50GPCh. 38 - Prob. 51GPCh. 38 - Prob. 52GPCh. 38 - Prob. 53GPCh. 38 - Prob. 54GPCh. 38 - Prob. 55GPCh. 38 - Prob. 56GPCh. 38 - Prob. 57GPCh. 38 - Prob. 58GPCh. 38 - Prob. 59GP
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- (2) In this experiment, why couldn't we observe the series of spectral lines that arise from electrons falling to the ground state, nfinal = 1? This is the Lyman series, for which 22 (see eq. (16)) must be replaced by 12 in both the numerator and denominator of the equation: 2 =- 1 n2 n = R (n2-1)' 2,3,4,5, ..arrow_forward(a) The Lyman series in hydrogen is the transition from energy levels n = 2, 3, 4, ... to the ground state n = 1. The energy levels are given by 13.60 eV En n- (i) What is the second longest wavelength in nm of the Lyman series? (ii) What is the series limit of the Lyman series? [1 eV = 1.602 x 1019 J, h = 6.626 × 10-34 J.s, c = 3 × 10° m.s] %3D Two emission lines have wavelengts A and + A2, respectively, where AA <<2. Show that the angular separation A0 in a grating spectrometer is given aproximately by (b) A0 = V(d/m)-2 where d is the grating constant and m is the order at which the lines are observed.arrow_forwardThe velocity of a neutron is measured to be 6.0 x 106 m s-1 with an uncertainty of 1.0 × 103 m s-1. (i) What is the minimum uncertainty of the simultaneous measurement of the position of the neutron? (ii) State how the minimum uncertainties of a measured energy and a measured time are relatedarrow_forward
- 2) The energy levels of a quantum-mechanical, one-dimensional, anharmonic oscillator maybe approximated as 2 =(n * (n + )' En hw ;n = 0,1,2,... (++) = The parameter x, usually « 1, represents the degree of anharmonicity. Show that, to the first order in x and the fourth order in u (= ħw/kgT), the specific heat of a system of N such oscillators is given by C = Nk [(1-u² + *)+ 4x (: + *)]. 240 80 Note that the correction term here increases with temperature.arrow_forward(a) If the position of a chlorine ion in a membrane is measured to an accuracy of 1.00 µm , what is its minimum uncertainty in velocity, given its mass is 5.86×10-26 kg ? (b) If the ion has this velocity, what is its kinetic energy in eV, and how does this compare with typical molecular binding energies?arrow_forward(II) Show that the energy E (in electron volts) of a photon whose wavelength is A (nm) is given by 1.240 x 10° eV·nm E = λ (nm) Use at least 4 significant figures for values of h, c, e (see inside front cover).arrow_forward
- The speed of an electron is known to be between 3.0 x 106 m/s and 3.2 x 106 m/s. Estimate the smallest possible uncertainty in its position.arrow_forward7) A particular laser oscillating at the resonant wavelength of 1 um has a M value of 1010. The photon number in the cavity at the threshold pumping rate is (Write the Answer as an integral number without using exponents)arrow_forwardEstimate the uncertainty in the position of a 50 kg person moving at 2m/sec?arrow_forward
- Discuss the main difference between an SEM and a TEM.arrow_forwardThe Balmer series for hydrogen was discovered before either the Lyman or the Paschen series. Why?arrow_forwardIf the uncertainty in the y -component of a proton's position is 2.0 pm, find the minimum uncertainty in the simultaneous measurement of the proton's y -component of velocity. What is the minimum uncertainty in the simultaneous measurement of the proton's x -component of velocity?arrow_forward
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