Question

A local AM radio station broadcasts at a frequency of 817 kHz. Calculate the wavelength at which it is broadcasting. Wavelength = m (1 kHz = 10^3 sec^-1) The wavelength of a particular color of violet light is 403 nm. The frequency of this color is sec^-1. (1 nm = 10^-9 m) The energy of a particular color of orange light is 3.04×10^-22 kJ/photon. The wavelength of this light is nanometers. (10^9 nm = 1 m) A local AM radio station broadcasts at a frequency of 817 kHz. Calculate the energy of the frequency at which it is broadcasting. Energy = kJ/photon (1 kHz = 10^3 sec^-1) Calculate the energy for the transition of an electron from the n = 8 level to the n = 9 level of a hydrogen atom. E = Joules Is this an Absorption (A) or an Emission (E) process?

          A local AM radio station broadcasts at a frequency of 817 kHz.
Calculate the wavelength at which it is broadcasting.
Wavelength = m
(1 kHz = 10^3 sec^-1)

The wavelength of a particular color of violet light is 403 nm.
The frequency of this color is sec^-1.
(1 nm = 10^-9 m)

The energy of a particular color of orange light is 3.04×10^-22 kJ/photon.
The wavelength of this light is nanometers.
(10^9 nm = 1 m)

A local AM radio station broadcasts at a frequency of 817 kHz.
Calculate the energy of the frequency at which it is broadcasting.
Energy = kJ/photon (1 kHz = 10^3 sec^-1)

Calculate the energy for the transition of an electron from the n = 8 level to the n = 9 level of a hydrogen atom.
E = Joules
Is this an Absorption (A) or an Emission (E) process?

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Added by John G.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

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Solved by Expert Chareen Guzman

02/13/2023

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Use the known values for the frequency and wavelength to calculate the energy of the broadcasting frequency. Show more…

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A local AM radio station broadcasts at a frequency of 817 kHz. Calculate the wavelength at which it is broadcasting. Wavelength = m (1 kHz = 10^3 sec^-1) The wavelength of a particular color of violet light is 403 nm. The frequency of this color is sec^-1. (1 nm = 10^-9 m) The energy of a particular color of orange light is 3.04×10^-22 kJ/photon. The wavelength of this light is nanometers. (10^9 nm = 1 m) A local AM radio station broadcasts at a frequency of 817 kHz. Calculate the energy of the frequency at which it is broadcasting. Energy = kJ/photon (1 kHz = 10^3 sec^-1) Calculate the energy for the transition of an electron from the n = 8 level to the n = 9 level of a hydrogen atom. E = Joules Is this an Absorption (A) or an Emission (E) process?

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Transcript

0:00 Hi.

00:01 So to solve the first question, we are to calculate the wavelength based on the given frequency.

00:09 So the formula that we're going to use for that is that frequency is equivalent to the speed of light c over the wavelength.

00:17 So let's just rearrange this equation.

00:19 Wave length is equivalent to the speed of light over the frequency.

00:24 Okay.

00:25 And then the speed of light, this is a constant that's equivalent to 3 times 10 to the 8.

00:30 The unit is meters per second.

00:34 Over the frequency, we have 817.

00:38 This is kilohertz.

00:40 Then let's convert this to per second.

00:44 We have the conversion factor here.

00:47 One kilohertz is equivalent to 10 to the 3 per second.

00:53 So now we could cancel some units.

00:56 I'll cancel this.

00:56 And then we could also cancel seconds.

00:59 So their remaining unit should be meters.

01:06 Calculating this, we should get 3, 6, 7.

01:10 This is in meters.

01:12 This is our answer to the first question.

01:15 The second one is we're calculating the frequency.

01:20 So using the same equation, frequency is equivalent to the speed of light over the wavelength.

01:26 Plug in the given information.

01:28 The speed of light is again three times 10 to the 8 meters per size.

01:32 Second over the wavelength, we have 403.

01:37 This is nanometers.

01:39 So let's convert this to meters so that we could cancel the meters in the numerator.

01:44 The conversion factor is that 10 to 9 or 1 times 10 to 9 nm nanometers is equivalent to 1 meter...

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