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Explain Bot To find the frequency of radiation with a given wavelength, you can use the formula:
frequency = speed of light / wavelength
The speed of light is approximately 3.00 x 10^10 cm/s.
Now let's calculate the frequency:
frequency = (3.00 x 10^10 cm/s) / (4.00 x 10^-5 cm)
To simplify, we can express the wavelength in scientific notation:
frequency = 3.00 x 10^10 cm/s / 4.00 x 10^-5 cm
Next, we can divide the numerator and denominator by 4:
frequency = (3.00 x 10^10 cm/s) / (4.00 cm) x 10^-5
Simplifying further:
frequency = (3.00 / 4.00) x 10^10-5 Hz
Finally, we can multiply the numbers outside the parentheses:
frequency = 0.75 x 10^10-5 Hz
To ensure the scientific notation is correct, let's move the decimal point one place to the right:
frequency = 7.5 x 10^9 Hz
Therefore, the frequency of radiation with a wavelength of 4.00 x 10⁻⁵ cm is 7.5 x 10^9 Hz.