Final answer:
The frequency of yellow light with an energy of 3.4 x 10⁻¹⁹ J is calculated using Planck's equation and is found to be 5.13 x 10¹⁴ Hz, which is within the range for visible light.
Step-by-step explanation:
The frequency of yellow light with E=3.4 x 10⁻¹⁹ J can be determined using Planck's equation E = hv, where E is the energy, h is Planck's constant (6.626 x 10⁻³⁴ J·s), and v is the frequency of the light. To find the frequency, we need to rearrange the equation to v = E/h.
So, v = (3.4 x 10⁻¹⁹ J) / (6.626 x 10⁻³⁴ J·s) = 5.13 x 10¹⁴ Hz.
Therefore, the frequency of the yellow light is 5.13 x 10¹⁴ Hz, which confirms that the value for the frequency falls within the range for visible light.