Frequency (f) = 2.30 GHz = 2.30 × 10^9 Hz
We know that,
Speed of light (c) = 3.00 × 10^8 m/s
Wavelength (λ) can be calculated using the formula:
λ = c/f
Substituting values:
λ = (3.00 × 10^8 m/s) / (2.30 × 10^9 Hz)
λ ≈ 0.13043 meters
To convert meters to nanometers, we multiply by 10^9:
λ = 0.13043 m × (10^9 nm / 1 m)
λ ≈ 130,430,000 nm
Therefore, the wavelength of the microwave at 2.30 GHz is approximately 130,430,000 nanometers.