Answer:
6.62x10^-34 J/Hz
Step-by-step explanation:
Planck's constant is a conversion factor that converts the energy of a photo to the frequency of that photo. It is a fundmental law of physics that also allows an equivalent mass to be calculated.
The energy of a photon is related to it's frequency by:
Energy = (Frequency)*(Planck's Constant)
We are given energy (in Joules, J) and frequency (in kHz) of a photon. Plank's constant is usually written in terms of hertz (Hz), not kilohertz (kHz). 1 Hz = 1 cycle/sec. So lets convert the frequency to Hz:
(9.00x10^3 kHz)*(1000 Hz/kHz) = 9.00x10^6 Hz
Now calculate Planck's Constant:
Energy = (Frequency)*(Planck's Constant)
(Planck's Constant) = (Energy)/(Frequency)
(Planck's Constant) = (5.964x10^-27 J)/(9.00x10^6 Hz)
(Planck's Constant) = 6.63x10^-34 J/Hz
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The accepted value for this constant is 6.62607x10^-34 J/Hz