Final answer:
The frequency of violet light with an energy of 4.81 x 10^-25 J is calculated to be 7.26 x 10^14 Hz using Planck's equation E = hv with the Planck's constant 6.626 x 10^-34 J·s.
Step-by-step explanation:
To find the frequency of violet light with a given energy, we use Planck's equation E = hv, where E is energy, h is Planck's constant (6.626 x 10-34 J·s), and v is frequency. To solve for the frequency (v), we rearrange the equation to v = E / h.
Given:
Energy (E) = 4.81 x 10-25 J
Planck's constant (h) = 6.626 x 10-34 J·s
Therefore, frequency (v) = 4.81 x 10-25 J / 6.626 x 10-34 J·s = 7.26 x 1014 Hz.
The frequency of the violet light with an energy of 4.81 x 10-25 J is 7.26 x 1014 Hz.