Question:medium

Light of which of the following colours will have the maximum energy in a photon associated with it?

Show Hint

In visible light: Red → lowest energy, Violet → highest energy. If violet is absent, choose the shortest wavelength colour available.
  • Red light
  • Yellow light
  • Green light
  • Blue light
Show Solution

The Correct Option is D

Solution and Explanation

To determine which color of light has the maximum energy associated with its photons, we need to consider the relationship between the energy of a photon and its wavelength. The energy \((E)\) of a photon is given by the equation:

\(E = \frac{hc}{\lambda}\)

where:

  • \(h\) is the Planck's constant \((6.626 \times 10^{-34} \text{Js})\),
  • \(c\) is the speed of light in a vacuum \((3 \times 10^8 \text{m/s})\),
  • \(\lambda\) is the wavelength of the light.

From the equation, we can see that the energy of a photon is inversely proportional to its wavelength. This means that the shorter the wavelength, the higher the energy of the photon.

Let's consider the visible spectrum and the typical wavelength range for each color:

  • Red light: ~620-750 nm
  • Yellow light: ~570-590 nm
  • Green light: ~495-570 nm
  • Blue light: ~450-495 nm

Among the given options, blue light has the shortest wavelength. Therefore, according to the inverse relationship between wavelength and energy, photons of blue light have the maximum energy compared to the other options listed.

Hence, the correct answer is Blue light.

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