# Calculations with wavelength and frequency

Understanding calculations involving wavelength and frequency is paramount in various scientific disciplines, particularly in physics and engineering. Wavelength represents the distance between two consecutive peaks or troughs of a wave, while frequency denotes the number of wave cycles passing a given point per unit time. These concepts are fundamental in describing wave behavior and are extensively utilized in fields such as optics, acoustics, and telecommunications. Mastery of these calculations enables scientists and engineers to analyze and manipulate waves accurately, facilitating advancements in technology and our comprehension of the natural world.

Questions

- What is the energy of a photon of light with a wavelength of 575 nm?
- What is the frequency and energy of electromagnetic radiation with a wavelength of #"1.22 km"#?
- What is the energy of a photon emitted with a wavelength of 448 nm?
- How do you determine the frequency of light whose wavelength is #4.257 x 10^-7# cm?
- An electron in an hydrogen atom makes a transition from the ground state, #n=1#, to the excited state, #n=5#. Calculate the energy in Joules, frequency in Hertz #(1/s)#, and wavelength in #nm# of the photon?
- If the energy required to remove an electron from sodium is #8.23*10^-19# #J#,, what frequency of light will cause sodium to ionize?
- The energy required to ionize sodium is 496 kJ /mol. What minimum frequency of light is required to ionize sodium?
- What is the energy, in joules, of a wave with a frequency of #6.78 * 10^7# Hz? What type of wave is this?
- What is the frequency of gamma rays that have a wavelength of #6.00 times 10^-12# #m#?
- How much energy is in a wave that has a wavelength of 1.3 pm?
- The work function for mercury is equivalent to 435kJ/mol photons. What is the kinetic energy, in joules, of the ejected electrons when light of 188 nm strikes a mercury surface?
- How can I calculate the wavelength from energy?
- #Q.1# Calculate the frequency of #e^-# in the first Bohr orbit of H-atom?
- The most prominent line in the spectrum of aluminum is emitted at 396.15 nm. What is the frequency of this line? How much energy is in one photon of this light?
- What is the wavelength of blue light?
- What is the electricity required to produce 1 photon,red photon and blue photon?
- Which has higher energy, #lambda# of 674 nm or #lambda# 480 nm?
- If the frequency of a wave is 2.0 cycles per second and its speed is 0.04 meter per second,what is the wavelength of the wave?
- What is the frequency of light #(s^-1)# that has a wavelength of #3.86 * 10^-5# #cm#?
- A photon having #lambda = 854*10^(-10) m# causes the ionization of a nitrogen atom. Give the I.E. per mole of nitrogen in KJ?