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
