Questions 41–46 of 46. Imported answers require independent review unless marked reviewed.

Topic practice 46 questionsPage 5 of 5

Question 50

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The π electrons in benzene can be modeled as particles in a ring that follow Pauli’s exclusion principle. Given that the radius of benzene is 1.4 Å, the longest wavelength of light that is absorbed during an electronic transition in benzene is __________ nm. (Up to one decimal place. Use mₑ = 9.1×10⁻³¹ kg, h = 6.6×10⁻³⁴ J s, c = 3.0×10⁸ m s⁻¹)

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Question 6

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The wavelength associated with a particle in one-dimensional box of length

is (

refers to the quantum number)
Your answerChoose one option.

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Question 8

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The lowest energy of a quantum mechanical one-dimensional simple harmonic oscillator is 300 cm

. The energy (in cm

) of the next higher level is ________________

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Question 29

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Assume 1,3,5-hexatriene to be a linear molecule and model the π electrons as particles in a one-dimensional box of length 0.70 nm. The wavelength (in nm) corresponding to the transition from the ground-state to the first excited-state is __________

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Question 33

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The angle of orientation (in degrees) of the angular momentum vector with respect to z-axis for

and

state of H-atom is __________ (up to two decimal places)

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Question 35

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represents a normalized molecular orbital constructed from two different atomic orbitals

and

that form an orthonormal set. The value of

is ______ (up to two decimal places)

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