Answer :

Explanation:

It is given that wavelength of light is 310 nm or [tex]310 \times 10^{-9}[/tex] m. Relation between wavelength, speed of light and frequency is as follows.

                   [tex]\nu = \frac{c}{\lambda}[/tex]

where,      [tex]\nu[/tex] = frequency

                     c = speed of light = [tex]3 \times 10^{8}[/tex] m/s

                [tex]\lambda[/tex] = wavelength

Hence, putting the given values into the above formula as follows.

             [tex]\nu = \frac{c}{\lambda}[/tex]

            [tex]\nu = \frac{3 \times 10^{8} m/s}{310 \times 10^{-9} m}[/tex]

                       = [tex]9.67 \times 10^{14}[/tex] per second

Thus, we can conclude that the frequency of given light is [tex]9.67 \times 10^{14}[/tex] per second.

samueladesida43

The frequency of a light wave with a wavelength of 310nm is 9.68 × 10¹⁴ Hz

HOW TO CALCULATE FREQUENCY:

  • The frequency of a particle can be calculated by dividing the speed of light by the wavelength of the particle as follows:

  • λ = v/f

  1. λ = wavelength of the wave (nm).
  2. v = speed of light (3 × 10⁸m/s)
  3. f = frequency of wave (Hz)

f = v ÷ λ

f = 3 × 10⁸ ÷ 310 × 10-⁹

f = 3/310 × 10⁸+⁹

f = 0.00968 × 10¹⁷

f = 9.68 × 10¹⁴ Hz

  • Therefore, the frequency of a light wave with a wavelength of 310nm is 9.68 × 10¹⁴ Hz.

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