Pls answer number 3 thank you 1. Before Planck's theoretical work on blackbody radiation, Wien showed empirically thatAmaxT = 2.90 x10³ m-Kwhere Amax is the wavelength at which the blackbody spectrum has its maximum value ata temperature T. This expression is called the Wien displacement law; derive it from thetheoretical expression for the blackbody distribution. (McQuarrie 1-5)2. Calculate the number of photons in a 2.00 mJ light pulse at (a) 1.06 µm, (b) 537 nm, and(c) 266 nm. (McQuarrie 1-13)3. Given that the work function of chromium is 4.40 eV, calculate the kinetic energy ofelectrons emitted from a chromium surface that is irradiated with ultraviolet radiation ofwavelength 200 nm. (McQuarrie 1-19)4. A ground-state hydrogen atom absorbs a photon of light that has a wavelength of 97.2nm. It then gives off a photon that has a wavelength of 486 nm. What is the final state ofthe hydrogen atom? (McQuarrie 1-26)5. Calculate the de Broglie wavelength for (a) an electron with a kinetic energy of 100 eV,(b) a proton with a kinetic energy of 100 eV, and (c) an electron in the first Bohr orbit of ahydrogen atom. (McQuarrie 1-38)6. If we locate an electron to within 20 pm, then what is the uncertainty in its speed?(McQuarrie 1-46)*7. What is the uncertainty of the momentum of an electron if we know its position issomewhere in a 10 pm interval? How does the value compare to momentum of an electronin the first Bohr orbit? (McQuarrie 1-47)*8. Solve the following differential equations:Y- 4y = 0y(0) = 2(at x = 0) = 4а.dx2d²yb.dx2+ 6y = 0y(0) = – 1(at x = 0) = 0- 2y = 0У(0) %3D 2(McQuarrie 2-2)C.dx9. Solve the following differential equations:+ w?x(t) = 0x(0) = 0(at t = 0) = voa.dt?d?xb.+ w°x(t) = 0x(0) = A(at t = 0) = voProve in both cases that x(t) oscillates with frequency w/2n. (McQuarrie 2-4)10. Prove that the number of nodes for a vibrating string clamped at both ends is n - 1 for thenth harmonic. (McQuarrie 2-11)

When a photon of electromagnetic radiation with sufficient energy falls on the surface of the metal,…

3. Given that the work function of chromium is 4.40 ev, calculate the kinetic energy of electrons emitted from a chromium surface that is irradiated with ultraviolet radiation of wavelength 200 nm. (McQuarrie 1-19)

3. Given that the work function of chromium is 4.40 ev, calculate the kinetic energy of electrons emitted from a chromium surface that is irradiated with ultraviolet radiation of wavelength 200 nm. (McQuarrie 1-19)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

Pls answer number 3 thank you

1. Before Planck's theoretical work on blackbody radiation, Wien showed empirically that
AmaxT = 2.90 x10³ m-K
where Amax is the wavelength at which the blackbody spectrum has its maximum value at
a temperature T. This expression is called the Wien displacement law; derive it from the
theoretical expression for the blackbody distribution. (McQuarrie 1-5)
2. Calculate the number of photons in a 2.00 mJ light pulse at (a) 1.06 µm, (b) 537 nm, and
(c) 266 nm. (McQuarrie 1-13)
3. Given that the work function of chromium is 4.40 eV, calculate the kinetic energy of
electrons emitted from a chromium surface that is irradiated with ultraviolet radiation of
wavelength 200 nm. (McQuarrie 1-19)
4. A ground-state hydrogen atom absorbs a photon of light that has a wavelength of 97.2
nm. It then gives off a photon that has a wavelength of 486 nm. What is the final state of
the hydrogen atom? (McQuarrie 1-26)
5. Calculate the de Broglie wavelength for (a) an electron with a kinetic energy of 100 eV,
(b) a proton with a kinetic energy of 100 eV, and (c) an electron in the first Bohr orbit of a
hydrogen atom. (McQuarrie 1-38)
6. If we locate an electron to within 20 pm, then what is the uncertainty in its speed?
(McQuarrie 1-46)*
7. What is the uncertainty of the momentum of an electron if we know its position is
somewhere in a 10 pm interval? How does the value compare to momentum of an electron
in the first Bohr orbit? (McQuarrie 1-47)*
8. Solve the following differential equations:
Y- 4y = 0
y(0) = 2
(at x = 0) = 4
а.
dx2
d²y
b.
dx2
+ 6y = 0
y(0) = – 1
(at x = 0) = 0
- 2y = 0
У(0) %3D 2
(McQuarrie 2-2)
C.
dx
9. Solve the following differential equations:
+ w?x(t) = 0
x(0) = 0
(at t = 0) = vo
a.
dt?
d?x
b.
+ w°x(t) = 0
x(0) = A
(at t = 0) = vo
Prove in both cases that x(t) oscillates with frequency w/2n. (McQuarrie 2-4)
10. Prove that the number of nodes for a vibrating string clamped at both ends is n - 1 for the
nth harmonic. (McQuarrie 2-11)

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