Part A An electron confined to a one-dimensional box of length 0.70 nm jumps fro

Question

Part A

An electron confined to a one-dimensional box of length 0.70 nm jumps from the n = 2 level to the ground state.

What is the wavelength (in nm) of the emitted photon?

Part B

What is the minimum energy of a 2.7 g Ping-Pong ball in a 10-cm-long box?

E=? J

What speed corresponds to this kinetic energy?

v=? m/s

Part C

X rays with a wavelength of 0.070 nm diffract from a crystal. Two adjacent angles of x-ray diffraction are 45.6degrees and 21.0degrees.

What is the distance between the atomic planes responsible for the diffraction?

d=? nm

Explanation / Answer

Energy of particle in a box:En = n2h2/8mL2 , n = 1, 2, 3, ...where n is quantum number, h is Planck constant, m is mass and L is length of boxPhoton energy:E = hc/? = ?Ewhere c is speed of light, ? is wavelength and ?E is difference in energy levels of the particle in the box involved in the transition mass of electron m = 9.109 x 10-31 kgL = 0.70 nm = 0.7 x 10-9 m E2 - E1 = hc/?(22 - 12) x (6.626 x 10-34)2/(8 x 9.109 x 10-31 x (0.7 x 10-9)2)= 6.626 x 10-34 x 2.9

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.