Answer :
The frequency of a light wave carrying 1.57 x 10^-15 Joules of energy is 2.37 x 10^18 Hz, calculated by dividing the energy by Planck's constant.
To find the frequency of a light wave given its energy, we can use the relationship between energy (E), Planck's constant (h), and frequency (
): E = hf. This equation asserts that the energy of a photon is directly proportional to its frequency. As Planck's constant (h) is 6.626 x 10-34 J
cdot s, we can rearrange the formula to solve for frequency: frequency (f) = E/h.
Given the energy of 1.57 x 10-15 Joules for a light wave, the frequency (f) can be calculated as follows:
f = E/h = (1.57 x 10-15 J) / (6.626 x 10-34 J
cdot s) = 2.37 x 1018 Hz
Therefore, the frequency of the light wave is 2.37 x 1018 Hz.
