the frequency in hz of radiation having energy of 4.18 x 10^-21 j/photon?
E = hf.
Energy in J.
h = Planck's constant.
f = frequency in Hz
To find the frequency in Hz of radiation with a given energy, you can use the equation:
E = h * f
Where:
E is the energy of the radiation in joules (4.18 x 10^-21 J in this case),
h is Planck's constant (6.626 x 10^-34 J·s), and
f is the frequency of the radiation in Hz (the unknown).
To solve for f, rearrange the equation:
f = E / h
Now, substitute the given values:
f = (4.18 x 10^-21 J) / (6.626 x 10^-34 J·s)
Now multiply the numerator and denominator by 10^34 to simplify the calculation:
f = (4.18 x 10^-21 J) * (10^34 J·s / 6.626)
Calculate and evaluate the expression:
f ≈ 6.31 x 10^12 Hz
Therefore, the frequency of radiation with an energy of 4.18 x 10^-21 J/photon is approximately 6.31 x 10^12 Hz.