What is the frequency of light having a wavelength of 5.6 micrometers?
E=h(nu)
E=h(c/lambda)
E=(6.626 E-34)(3.00E8/5.6E-6)
To calculate the frequency of light, you need to use the formula:
frequency = speed of light / wavelength
The speed of light is a constant value, which is approximately 3.00 x 10^8 meters per second (m/s). However, the wavelength you provided is given in micrometers (μm), so it needs to be converted to meters.
1 micrometer (μm) = 1 x 10^-6 meters (m)
Therefore, the wavelength of 5.6 micrometers is equal to 5.6 x 10^-6 meters (m).
Now, you can substitute the values into the formula:
frequency = 3.00 x 10^8 m/s / (5.6 x 10^-6 m)
To simplify the calculation, divide the numerator and denominator by 10^6:
frequency = (3.00 x 10^8) / (5.6 x 10^-12)
Next, divide the numerator and denominator separately:
frequency = (3.00 / 5.6) x 10^8 / 10^-12
Finally, multiply 10^8 by 10^-12:
frequency = 0.536 x 10^20 Hz
So, the frequency of light with a wavelength of 5.6 micrometers is approximately 0.536 x 10^20 Hz.