Question

What is the frequency (Hz) of a photon having an energy of

4.91×10 ⁻¹⁷?

a) 1.64 × 10⁸Hz
b) 1.09 × 10⁸ Hz
c) 2.45 × 10⁸ Hz
d) 3.20 × 10⁸ Hz

Answer 1

Using the formula ν = E/h, where 'h' is Planck's constant, the frequency of a photon with an energy of 4.91 × 10-17 J calculates to approximately 7.41 × 1016 Hz, which is not listed among the given options.

Step-by-step explanation:

To calculate the frequency (ν) of a photon with a given energy (E), we can use the formula E = hν, where 'h' is Planck's constant (6.626 × 10-34 J·s). We rearrange the formula to solve for frequency ν = E/h. Given the photon's energy is 4.91 × 10-17 J, we calculate the frequency as follows:

ν = E/h = (4.91 × 10-17 J) / (6.626 × 10-34 J·s) ≈ 7.41 × 1016 Hz

This value is not listed in the provided options, indicating a potential error in the problem or the options given. The correct calculation indicates that none of the options (a, b, c, or d) are correct.