Question

In: Chemistry

The O-H bond in water vibrates at a frequency of 3650cm-1. What wavelength and frequency of...

The O-H bond in water vibrates at a frequency of 3650cm-1. What wavelength and frequency of light would be required to change the vibrational quantum number from n=0 to n=4 assuming 0-H acts as a Harmonic oscillator?

Expert Solution

For a Harmonic oscillator the enery is given by

where n =0,1,2............. and is the frequency which is given by

wher k is the spring constant and is the reduced mass given by

where are the atomic masses.

Here wavenumber is given as 3650 cm-1 for the O-H bond.

The energy difference between n = 0, n = 4

h = 6.62 * 10-34 Kg m²/s

is the frequency required for this transition.

= 43932 * 10⁶ Hz

queen_honey_blossom answered 2 years ago

a)Does the vibrational frequency of an O-H bond depend on whether it is horizontal or vertical...

a)Does the vibrational frequency of an O-H bond depend on whether it is horizontal or vertical at the surface of the Earth? Suppose that a harmonic oscillator of mass m is held vertically, so that it experiences a perturbation V(x)=mgx, where g is the acceleration of free fall. Calculate the first order correction to the energy of the ground state. b) Repeat the previous exercise to find the change in excitation energy from v=1 to v=2 in the presence of...

Which of the following bonds are polar: C-Se, C-O, Cl-Cl, O=O, N-H, C-H? In the bond...

Which of the following bonds are polar: C-Se, C-O, Cl-Cl, O=O, N-H, C-H? In the bond or bonds that you selected, which atom has the greater electronegativity?

What kind of relationship is there between wavelength and frequency? As frequency increases, what happens to...

What kind of relationship is there between wavelength and frequency? As frequency increases, what happens to the energy gap associated with it?

The structure of ethanol(CH4)) shows that molecule was O-H bond. What is the strongest intermolecular attractive...

The structure of ethanol(CH4)) shows that molecule was O-H bond. What is the strongest intermolecular attractive force it can form? A. Hydrogen bonds B. Dispersion C. Dipole-dipole

Find the frequency, wavelength and speed?

Monochromatic light having a wavelength of 589nm from the air is incident on a water surface. Find the frequency, wavelength and speed of(i) reflected and (ii) refracted light? [1.33 is the Refractive index of water]

What is the smallest whole-number coefficient for H₂O when the equation MnO₄⁻ + I⁻ + H₂O...

What is the smallest whole-number coefficient for H₂O when the equation MnO₄⁻ + I⁻ + H₂O → MnO₂ + IO₃⁻ is balanced in basic solution?

1-state the relationship between a wave's velocity wavelength and frequency? 2- What is the principle of...

1-state the relationship between a wave's velocity wavelength and frequency? 2- What is the principle of superposition? 3- The distance between two nodes or two antinodes in a standing wave is …………………. Wavelength? 4- - The distance between an antinode and a node in a standing wave is …………………. Wavelength? 5- A string, which has a mass of 0.50 kg and a length of 3.0 meters, is clamped on both ends. If the tension in the string is 25 Newtons,...

3(a) What is the operating frequency of Zigbee and what is the wavelength? (b). Explain the...

3(a) What is the operating frequency of Zigbee and what is the wavelength? (b). Explain the data format for the Zigbee protocol.

An FM radio station broadcasts at a frequency of 101.3 MHz. What is the wavelength?

a. An FM radio station broadcasts at a frequency of 101.3 MHz. What is the wavelength? b. What is the frequency of a sound source that produces the same wavelength in 20°C air?

What is the wavelength (in nm) of light having a frequency of 6.8 × 1013 Hz?...

What is the wavelength (in nm) of light having a frequency of 6.8 × 1013 Hz? What is the frequency (in Hz) of light having a wavelength of 8.53 × 102 nm? a) Wavelength of light × 10 nm (Enter your answer in scientific notation.) b) Frequency of light × 10 Hz (Enter your answer in scientific notation.)