Concept explainers
(a)
Interpretation:
The wavelength of fundamental mode of vibration and the third harmonic of a guitar string are to be calculated.
Concept introduction:
There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example,
(b)
Interpretation:
The number of nodes in third harmonic of a guitar string is to be calculated.
Concept introduction:
There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends.
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Principles of Modern Chemistry
- The speed of sound in dry air at 20°C is 343.5ms1 , and the frequency of the sound from the middle C note on a piano is 261.6s1 (according to the American standard pitch scale). Calculate the wavelength of this sound and the time it will take to travel 30.0 m across a concert hall.arrow_forwardBohr’s model can be used for hydrogen-like ions—ions thathave only one electron, such as He + and Li2 + . (a) Why isthe Bohr model applicable to He + ions but not to neutral Heatoms? (b) The ground-state energies of H, He + , and Li2 + aretabulated as follows:By examining these numbers, propose a relationship betweenthe ground-state energy of hydrogen-like systems and thenuclear charge, Z. (c) Use the relationship you derive in part(b) to predict the ground-state energy of the C5 + ion.arrow_forwardBohr’s model can be used for hydrogen-like ions—ions thathave only one electron, such as He + and Li2+ . (a) Why isthe Bohr model applicable to He + ions but not to neutral Heatoms? (b) The ground-state energies of H, He + , and Li2 + aretabulated as follows: By examining these numbers, propose a relationship betweenthe ground-state energy of hydrogen-like systems and thenuclear charge, Z. (c) Use the relationship you derive in part(b) to predict the ground-state energy of the C5+ ion.arrow_forward
- Quantum mechanicsarrow_forwardThe ground-state wavefunction for a particle confined to a one dimensional box of length L is Ψ =(2/L)½ sin (πx/L) Suppose the box 10.0 nm long. Calculate the probability that the particle is: (a) between x = 4.95 nm and 5.05 nm (b) between 1.95 nm and 2.05 nm, (c) between x = 9.90 and 10.00 nm, (d) in the right half of the box and (e) in the central third of the box.arrow_forward6) Describe the Born Oppenheimer Approximation.arrow_forward
- We have a HCl molecule, with H and Cl have atomic mass of 1.0 and 35.5 amu, respectively. The force constant is 480 N/m for this H-Cl bond, what is the photon frequency when the HCl molecule decay from its second excited vibrational state to its ground vibrational state?arrow_forwardThe radiation of the wavelengths as below is used in the UV-Vis-Near-IR, the microwave and NMR spectrometers. Calculate the energy per one mole of photons for the radiation of the following wavelengths: a) 1.5 m (NMR radiation); b) 1.5 mm (microwave radiation); c) 1.5 μm (near IR radiation); Hint: one mole contains the NA (the Avogadro number) of photons.arrow_forwardThe vibrational frequency of the hydrogen chloride HCl diatomic molecule is 8.97 x 1013Hz. chloride atom is 35.5 times more massive than hydrogen atom. (mµ = 1.67 x 0-27kg,c = 3.0 x 10°m/s) a) What is the force constant of the molecular bond between the hydrogen and the chloride atoms? b) What is the energy of the emitted photon when this molecule makes a transition between adjacent vibrational energy levels? c) What is the wavelength of the emitted photon? d) The possible wavelengths of photons emitted with the HCl molecule decays from the 2nd excited state eventually to the ground state(0 state).arrow_forward
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- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage LearningPhysical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,