Which of the following has the lowest energy? a light with the wavelength of 1.03 x 10-8 m a light with the wavelength of 1.22 x 10-9 m a light with the wavelength of 2.33 x 10-8 m a light with the wavelength of 1.50 x 10-7 m

General
1

which of the following has the lowest energy? a light with the wavelength of 1.03 x 10-8 m a light with the wavelength of 1.22 x 10-9 m a light with the wavelength of 2.33 x 10-8 m a light with the wavelength of 1.50 x 10-7 m

2

Which of the following has the lowest energy?

Answer:
The energy of a photon is inversely proportional to its wavelength, which means that the shorter the wavelength, the higher the energy. The energy of a photon can be calculated using the equation E = hc/λ, where E is the energy, h is the Planck constant, c is the speed of light, and λ is the wavelength.

Given the wavelengths:

  1. 1.03 x 10^-8 m
  2. 1.22 x 10^-9 m
  3. 2.33 x 10^-8 m
  4. 1.50 x 10^-7 m

To determine which one has the lowest energy, we need to calculate the energy of each photon.

  1. Energy of light with a wavelength of 1.03 x 10^-8 m:
    E = (6.626 x 10^-34 J s * 3.00 x 10^8 m/s) / (1.03 x 10^-8 m)
    E ≈ 1.92 x 10^-16 Joules

  2. Energy of light with a wavelength of 1.22 x 10^-9 m:
    E = (6.626 x 10^-34 J s * 3.00 x 10^8 m/s) / (1.22 x 10^-9 m)
    E ≈ 1.62 x 10^-16 Joules

  3. Energy of light with a wavelength of 2.33 x 10^-8 m:
    E = (6.626 x 10^-34 J s * 3.00 x 10^8 m/s) / (2.33 x 10^-8 m)
    E ≈ 8.56 x 10^-17 Joules

  4. Energy of light with a wavelength of 1.50 x 10^-7 m:
    E = (6.626 x 10^-34 J s * 3.00 x 10^8 m/s) / (1.50 x 10^-7 m)
    E ≈ 4.18 x 10^-19 Joules

Comparing the energies calculated above, the light with the wavelength of 1.50 x 10^-7 m has the lowest energy.