Skip to main content
Ch.8 - The Quantum-Mechanical Model of the Atom
Tro - Chemistry: A Molecular Approach 6th Edition
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoTro 6th EditionCh.8 - The Quantum-Mechanical Model of the AtomProblema 41
Capitolo 8, Problema 41

Calculate the frequency of each wavelength of electromagnetic radiation: a. 632.8 nm (wavelength of red light from helium–neon laser) b. 503 nm (wavelength of maximum solar radiation) c. 0.052 nm (wavelength contained in medical X-rays)

Guida verificata passo dopo passo
1
Convert the wavelength from nanometers (nm) to meters (m) by multiplying by \(1 \times 10^{-9}\) m/nm.
Use the speed of light equation, \(c = \lambda \nu\), where \(c\) is the speed of light (\(3.00 \times 10^8\) m/s), \(\lambda\) is the wavelength in meters, and \(\nu\) is the frequency in Hz.
Rearrange the equation to solve for frequency, \(\nu = \frac{c}{\lambda}\).
Substitute the converted wavelength value into the rearranged equation to calculate the frequency for each case.
Ensure the final frequency is expressed in hertz (Hz), which is the SI unit for frequency.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
4m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Electromagnetic Spectrum

The electromagnetic spectrum encompasses all types of electromagnetic radiation, which vary in wavelength and frequency. It includes radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. Understanding the spectrum is crucial for identifying the properties and applications of different types of radiation, such as the visible light emitted by lasers or the X-rays used in medical imaging.
Video consigliato:
Percorso guidato
02:53
Electromagnetic Spectrum

Wavelength and Frequency Relationship

Wavelength and frequency are inversely related properties of electromagnetic radiation, described by the equation c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency. This means that as the wavelength increases, the frequency decreases, and vice versa. This relationship is fundamental for calculating the frequency of radiation given its wavelength, as seen in the question.
Video consigliato:
Percorso guidato
00:31
Frequency-Wavelength Relationship

Unit Conversion

In calculations involving electromagnetic radiation, it is often necessary to convert units, particularly when dealing with wavelengths expressed in nanometers (nm) and frequencies in hertz (Hz). One nanometer equals 1 x 10^-9 meters, and frequency is typically expressed in hertz, which is cycles per second. Mastery of unit conversion is essential for accurately performing calculations and interpreting results in physics and chemistry.
Video consigliato:
Percorso guidato
01:56
Conversion Factors
Pratica correlata
Domanda del libro di testo

List these types of electromagnetic radiation in order of (ii) increasing energy per photon.

a. visible light

b. radio waves

c. X-ray

d. ultraviolet radiation

Domanda del libro di testo

A laser pulse with wavelength 532 nm contains 1.85 mJ of energy. How many photons are in the laser pulse?

Domanda del libro di testo

Calculate the energy of a photon of each wavelength and state what part of the electromagnetic spectrum is associated with the wavelength.

a. 105 nm

b. 715 nm

c. 2.52 cm

Domanda del libro di testo

List these types of electromagnetic radiation in order of (i) increasing frequency and (ii) decreasing energy per photon.

a. gamma rays

b. ultraviolet radiation

c. infrared radiation

d. microwaves

Domanda del libro di testo

The nearest star to our sun is Proxima Centauri, at a distance of 4.3 light-years from the sun. A light-year is the distance that light travels in one year (365 days). How far away, in km, is Proxima Centauri from the sun?

3102
views
1
rank
Domanda del libro di testo

Calculate the energy of a photon of each frequency and state what part of the electromagnetic spectrum is associated with the frequency.

a. 15.77×1017 Hz

b. 1.18×1014 Hz

c. 3.00×1020 Hz