Question

E = h f = h c/? h = 6.6 x 10?³? J s c = 3 x 10? m/s ? = h/p ?x ?p ? h/(2?) E<sub>n</sub> = n²h²/(8mL²) 1) An electron (m = 9.11 x 10?³¹ kg) is in an infinite well with a width of 900 nm. The electron is in the second excited state (above the ground state). a) Draw a picture of the electron's Schrödinger wavefunction b) What is the wavelength of the electron? c) What is the momentum of the electron? d) What is the energy of the electron?

          E = h f = h c/?
h = 6.6 x 10?³? J s
c = 3 x 10? m/s
? = h/p
?x ?p ? h/(2?)
E<sub>n</sub> = n²h²/(8mL²)
1) An electron (m = 9.11 x 10?³¹ kg) is in an infinite well with a width of 900 nm. The electron is in the
second excited state (above the ground state).
a) Draw a picture of the electron's Schrödinger wavefunction
b) What is the wavelength of the electron?
c) What is the momentum of the electron?
d) What is the energy of the electron?

E = h f = h c/?
h = 6.6 x 10?³? J s
c = 3 x 10? m/s
? = h/p
?x ?p ? h/(2?)
E<sub>n</sub> = n²h²/(8mL²)
1) An electron (m = 9.11 x 10?³¹ kg) is in an infinite well with a width of 900 nm. The electron is in the
second excited state (above the ground state).
a) Draw a picture of the electron's Schrödinger wavefunction
b) What is the wavelength of the electron?
c) What is the momentum of the electron?
d) What is the energy of the electron?

Added by Martin B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Mahipal Kumawat

Step 1

The wavefunction for the nth excited state in an infinite well is given by: ψ(x) = √(2/L) * sin(nπx/L) where L is the width of the well and n is the quantum number. In this case, the width of the well is 900 nm, so L = 900 nm = 900 x 10^-9 m. The electron is in Show more…

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E = hf = hc/Î» h = 6.6 x 10^-34 J s c = 3 x 10^8 m/s 1 = h/p Î”x Î”p â‰¥ h/4Ï€ En = n^2h^2/8mL^2 1) An electron (m = 9.11 x 10^-31 kg) is in an infinite well with a width of 900 nm. The electron is in the second excited state (above the ground state). a) Draw a picture of the electron's SchrÃ¶dinger wavefunction. b) What is the wavelength of the electron? c) What is the momentum of the electron? d) What is the energy of the electron?