Question

What is the frequency of a red light with an energy of 3.71 x 10^-17 J?

A) 4.95 x 10^14 Hz
B) 8.10 x 10^16 Hz
C) 1.53 x 10^17 Hz
D) 6.28 x 10^14 Hz
What is the frequency of light with a wavelength of 570 nm?
A) 5.26 x 10^14 Hz
B) 3.51 x 10^14 Hz
C) 1.75 x 10^14 Hz
D) 8.77 x 10^14 Hz
Calculate the energy, in joules, carried by a quantum of violet light with a wavelength of 2.59 x 10^-9 m.
A) 7.71 x 10^-19 J
B) 3.86 x 10^-19 J
C) 1.49 x 10^-18 J
D) 5.18 x 10^-19 J
Calculate the energy of a quantum of radiation in the X-ray range with a frequency of 5.66 x 10^-6 Hz.
A) 3.77 x 10^-12 J
B) 2.45 x 10^-19 J
C) 1.96 x 10^-18 J
D) 8.50 x 10^-19 J
A photon has an energy of 4.00 x 10^–19 J. Determine the wavelength of the photon.
A) 4.95 x 10^-7 m
B) 3.00 x 10^-9 m
C) 1.24 x 10^-9 m
D) 5.00 x 10^-7 m
Calculate the energy of a quantum of radiation in the gamma ray range with a frequency of 8.10 x 10^16 Hz.
A) 5.37 x 10^-18 J
B) 4.20 x 10^-10 J
C) 7.65 x 10^-21 J
D) 6.28 x 10^-13 J
How much energy in joules is found in a photon of yellow light with a wavelength of 3.9 x 10^-7 m?
A) 5.13 x 10^-19 J
B) 1.79 x 10^-18 J
C) 2.01 x 10^-19 J
D) 4.88 x 10^-20 J
Calculate the energy of a quantum of radiation in the microwave range with a wavelength of 7.14 x 10^-2 m.
A) 2.79 x 10^-27 J
B) 1.48 x 10^-25 J
C) 3.26 x 10^-27 J
D) 4.53 x 10^-27 J
What is the wavelength of electromagnetic radiation if its frequency is 4.62 x 10^−14 Hz?
A) 6.49 x 10^13 m
B) 8.84 x 10^12 m
C) 2.18 x 10^10 m
D) 2.17 x 10^11 m
Determine the energy in joules of a photon whose frequency is 4.23 x 10^17 Hz.
A) 2.80 x 10^-19 J
B) 1.62 x 10^-19 J
C) 9.56 x 10^-20 J
D) 5.28 x 10^-19 J

Answer 1

These questions all revolve around the physics of light, requiring calculations involving the equations E = hf and c = λf, which relate the energy, frequency, and wavelength of photons.

Step-by-step explanation:

The questions provided are all related to the properties of electromagnetic radiation, specifically involving calculations of wavelength, frequency, and energy of photons. These questions fall within the physics subject area and would typically be encountered by students at the high school level. The answers to these questions can be found by using the equation E = hf, where E is the energy of a photon in joules, h is Planck's constant (6.626 x 10-34 Js), and f is the frequency in hertz (Hz). Additionally, the relationship between frequency and wavelength is given by c = λf, where c is the speed of light in a vacuum (approximately 3 x 108 m/s) and λ is the wavelength in meters.

To calculate the frequency of red light with an energy of 3.71 x 10-17 J, one would re-arrange the equation to get f = E/h.

To determine the wavelength of light given its frequency, we use the equation λ = c/f.

To find the energy of a photon given its wavelength in the violet light range or other spectral ranges, we first find the frequency using f = c/λ, and then use this frequency in the equation E = hf.

For a photon with a given energy, we can calculate its wavelength by manipulating the aforementioned equations to get λ = hc/E.

The range of frequencies for visible light spans from 3.75 x 1014 Hz to 7.50 x 1014 Hz, corresponding to wavelengths from about 400 nm to 800 nm.