4. if the wavelength of a wave = 1.5 x 10-8 m. find the frequency and energy of this wave.

Frequency=2.0 × 10^16 Hz

Energy = 1.325 × 10^-17 Joules

The relationship between frequency and wavelength is given by;

c = fλ, where c is the speed of the wave, f is the frequency and λ is the wavelength.

Given;

wavelength,λ = 1.5 x 10^-8 m

speed of the wave = 2.998 × 10^8 m/s

Rearranging the formula we can get the frequency

f = c/λ

Therefore;

f = (2.998 × 10^8 m/s) ÷ (1.5 x 10^-8 m)

 = 1.9987 × 10^16 Hz

 = 2.0 × 10^16 Hz

Thus, the frequency of the wave is  2.0 × 10^16 Hz

To calculate the energy of the wave we use the formula;

E = hf

where, h is the plank's constant, 6.626 × 10^-34 J-s

Therefore;

E = (6.626 × 10^-34 J-s) × (2.0 × 10^16 Hz)

 = 1.325 × 10^-17 Joules

Hence, the energy of the wave is 1.325 × 10^-17 Joules

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