Final answer:
The frequency of light with an energy of 7.76 × 10^-25 J is approximately 1.17 × 10^9 Hz, calculated by dividing the energy by Planck's constant.
Step-by-step explanation:
To calculate the frequency of light with a given energy, we use Planck's equation E = hv, where E is the energy in joules, h is Planck's constant (6.626 × 10-34 J·s), and v is the frequency in Hertz (Hz). Solving for the frequency, we rearrange the equation to v = E/h. Substituting the given energy of 7.76 × 10-25 J into the equation and using the value for Planck's constant, we get:
The frequency of light can be determined 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 in Hz (1/s). To find the frequency, rearrange the formula: f = E/h. Plugging in the given energy of 7.76 x 10^-25 J, we get:
f = (7.76 x 10^-25 J)/(6.626 x 10^-34 J·s) = 1.170 x 10^9 Hz