Final answer:
The energy of violet light with a frequency of 7.50 x 10¹⁴ s⁻¹ is 4.97 x 10⁻³´ J.
Step-by-step explanation:
The energy of a photon can be calculated using the equation E = hf, where E is the energy, h is Planck's constant (6.626 x 10⁻³⁴ J-s), and f is the frequency of the light. In this case, the frequency is given as 7.50 x 10¹⁴ s⁻¹. Plugging in the values, we get:
E = (6.626 x 10⁻³⁴ J-s) * (7.50 x 10¹⁴ s⁻¹) = 4.97 x 10⁻³´ J
Therefore, the energy of the violet light with a frequency of 7.50 x 10¹⁴ s⁻¹ is 4.97 x 10⁻³´ J.