The wavelength of radiation can be calculated using the formula:
wavelength (λ) = speed of light (c) / frequency (f)
The speed of light is approximately 3.00 × 10^8 m/s.
Given: Frequency (f) = 7.4 × 10^11 s^-1 Speed of light (c) = 3.00 × 10^8 m/s
Plugging these values into the formula, we can calculate the wavelength:
λ = c / f λ = (3.00 × 10^8 m/s) / (7.4 × 10^11 s^-1)
To simplify this expression, we can rearrange the units:
λ = (3.00 × 10^8 m/s) / (7.4 × 10^11 s^-1) λ = (3.00 / 7.4) × (10^8 / 10^11) m λ = 0.4054 × 10^-3 m
Therefore, the wavelength of radiation with a frequency of 7.4 × 10^11 s^-1 is approximately 0.4054 × 10^-3 m or 4.054 × 10^-4 m.