The frequency of a wave can be calculated using the formula:
frequency (f) = wave speed (v) / wavelength (λ)
Given: Wave speed (v) = 4 × 10^5 m/s Wavelength (λ) = 8 × 10^-10 m
Plugging in these values into the formula, we can calculate the frequency:
f = v / λ f = (4 × 10^5 m/s) / (8 × 10^-10 m)
To simplify this expression, we can convert the wavelength to scientific notation:
f = (4 × 10^5 m/s) / (8 × 10^-10 m) f = (4 × 10^5 m/s) / (8 × 10^-10 m) f = (4/8) × (10^5 / 10^-10) m/s f = 0.5 × 10^15 m/s
Therefore, the frequency of the wave is 0.5 × 10^15 Hz or 5 × 10^14 Hz.