Skip to main content
Ch.7 - Quantum-Mechanical Model of the Atom
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoTro 4th EditionCh.7 - Quantum-Mechanical Model of the AtomProblema 39
Capitolo 7, Problema 39

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 (i) increasing frequency and (ii) decreasing energy per photon. a. gamma rays b. radio waves c. microwaves d. visible light

4404
views
1
rank
Domanda del libro di testo

List these types of electromagnetic radiation in order of (ii) increasing energy per photon. a. radio waves b. microwaves c. infrared radiation d. ultraviolet radiation

606
views
Domanda del libro di testo

A laser pulse with wavelength 532 nm contains 3.85 mJ of energy. How many photons are in the laser pulse?

7564
views
4
rank
Domanda del libro di testo

Calculate the energy of a photon of electromagnetic radiation at each of the wavelengths indicated in Problem 39. 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)

2415
views
1
rank
1
comments
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 electromagnetic radiation at each of the frequencies indicated in Problem 40. a. 100.2 MHz (typical frequency for FM radio broadcasting) b. 1070 kHz (typical frequency for AM radio broadcasting) (assume four significant figures) c. 835.6 MHz (common frequency used for cell phone communication)

2750
views