What is the wavelength, in nanometers, of light with a frequency of 3.53×1015 H2?
The relationship between wavelength (λ), frequency (ν), and the speed of light (c) is given by the equation:
c = λν
Where c is the speed of light (approximately 3.00 x 10^8 m/s).
Rearranging the equation to solve for wavelength:
λ = c/ν
Substituting the given values:
λ = (3.00 x 10^8 m/s) / (3.53 x 10^15 Hz)
Since the wavelength is typically expressed in nanometers (nm), you can convert the speed of light from meters per second (m/s) to nanometers per second (nm/s) by multiplying it by 10^9:
λ = (3.00 x 10^17 nm/s) / (3.53 x 10^15 Hz)
Simplifying:
λ ≈ 85.03 nm
Therefore, the wavelength of light with a frequency of 3.53 x 10^15 Hz is approximately 85.03 nanometers (nm).
To find the wavelength of light with a given frequency, you can use the formula:
wavelength = speed of light / frequency
The speed of light is approximately 3.0 × 10^8 meters per second.
Converting the given frequency from Hertz to cycles per second:
3.53 × 10^15 Hz = 3.53 × 10^15 cycles/s
Now we can calculate the wavelength:
wavelength = (3.0 × 10^8 m/s) / (3.53 × 10^15 cycles/s)
To convert this value to nanometers, we need to multiply by 10^9:
wavelength = [(3.0 × 10^8 m/s) / (3.53 × 10^15 cycles/s)] × (10^9 nm/m)
Calculating this expression:
wavelength ≈ 8.5 nm
Therefore, the wavelength of light with a frequency of 3.53 × 10^15 Hz is approximately 8.5 nanometers.
To find the wavelength of light with a given frequency, you can use the formula:
Wavelength (λ) = Speed of Light / Frequency
The speed of light is approximately 3.00 × 10^8 meters per second (m/s).
First, convert the frequency from Hertz (Hz) to the unit of cycles per second (s^-1) by dividing by 1 second:
3.53 × 10^15 Hz = 3.53 × 10^15 s^-1
Next, plug the values into the formula:
λ = (3.00 × 10^8 m/s) / (3.53 × 10^15 s^-1)
Simplify the expression by dividing the values:
λ ≈ 8.51 × 10^-8 meters
Since the question asks for the wavelength in nanometers (nm), convert the value from meters to nanometers:
1 meter = 1 × 10^9 nanometers (nm)
λ ≈ 8.51 × 10^-8 meters × (1 × 10^9 nm / 1 meter)
Simplify the expression by multiplying the values:
λ ≈ 8.51 × 10^1 nm
Therefore, the wavelength of light with a frequency of 3.53 × 10^15 Hz is approximately 85.1 nanometers.