
Calculate the wavelength, wavenumber and frequency of photons having an energy equal to three electron volt. .
Answer
497.1k+ views
Hint: Photons are the particles which have electromagnetic radiation. Wavelength is the consecutive difference between two crests or troughs in a wave. The formula of the energy of the wave can be used to calculate the frequency of the wave The relation between the speed, frequency and wavelength can be used to calculate the wavelength and wave number.
Formula used: The energy of the wave is given by where is the energy is the Planck’s constant and is the frequency of the wave.
Complete step by step answer:
It is given that the energy of the photons is equal to 3eV (electron volts).
As it is given that the energy of the wave is given by where is the energy is the Planck’s constant and is the frequency of the wave.
Therefore,
(As the energy is equal to 3eV and ).
Since, where is wavelength, is speed of light and is the frequency of the wave.
So the wavelength of the wave is .
Also let us calculate the wave number. As the wave number is given by where is the wave number and is wavelength.
So the wave number is given by .
Therefore, the wavelength of the wave is , the frequency of the wave is and the wave number of the wave is given by given that the energy of the photons is three electron volts.
Note:
It is important for students to remember the formula of energy of the wave as it can help in solving these types of problems. The value of 1eV is equal to . The energy of the photon is given as 3eV.
Formula used: The energy of the wave is given by
Complete step by step answer:
It is given that the energy of the photons is equal to 3eV (electron volts).
As it is given that the energy of the wave is given by
Therefore,
Since,
So the wavelength of the wave is
Also let us calculate the wave number. As the wave number is given by
So the wave number is given by
Therefore, the wavelength of the wave is
Note:
It is important for students to remember the formula of energy of the wave as it can help in solving these types of problems. The value of 1eV is equal to
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