What is the frequency of a photon with a wavelength of 5.60 10-7 m? (The speed of light in a vacuum is 2.998 108 m/s. Planck's constant is 6.626 10-34 J·s.)
From the other answers I have given, you should be able to figure this out yourself
To find the frequency of a photon, we can use the formula:
frequency = speed of light / wavelength
Given:
Wavelength (λ) = 5.60 × 10^(-7) m
Speed of light in a vacuum (c) = 2.998 × 10^8 m/s
So, the formula becomes:
frequency = 2.998 × 10^8 m/s / (5.60 × 10^(-7) m)
To simplify the calculation, we can first convert the wavelength to scientific notation by moving the decimal point:
Wavelength (λ) = 5.60 × 10^(-7) m
Now, we can substitute the values into the formula:
frequency = 2.998 × 10^8 m/s / (5.60 × 10^(-7) m)
Next, we can simplify the calculation by dividing the numbers and subtracting the exponents:
frequency = 2.998 / 5.60 × 10^8 / 10^(-7)
When dividing two numbers with exponents, we subtract the exponents:
frequency = 2.998 / 5.60 × 10^(8-(-7))
Simplifying the exponent:
frequency = 2.998 / 5.60 × 10^(8+7)
Frequency = 2.998 / 5.60 × 10^(15)
Now, we can evaluate the expression:
frequency = 5.353 × 10^14 Hz
Therefore, the frequency of the photon with a wavelength of 5.60 × 10^(-7) m is approximately 5.353 × 10^14 Hz.