Question

How many photons of light with frequency 5.50 × 10¹⁵ Hz are required to provide 1 kJ of energy?

a. 1.81 × 10¹⁵
b. 3.63 × 10¹⁵
c. 5.50 × 10¹⁵
d. 1.22 × 10¹⁵

Answer 1

To provide 1 kJ of energy, approximately 2.78 × 10^22 photons of light with frequency 5.5 × 10^15 Hz are required. None of the given options are correct.

Step-by-step explanation:

To calculate the number of photons required to provide 1 kJ of energy, we can use the equation E = hf, where E is the energy, h is Planck's constant (6.626 × 10^-34 J-s), and f is the frequency of the photons.

The energy of a yellow photon with a frequency of 5.5 × 10^14 Hz is 3.6 × 10^-19 J, as calculated earlier.

Now, we can use this energy value to find the number of photons needed for 1 kJ of energy:

1. Number of photons = 1 kJ / Energy of a yellow photon
2. Number of photons = 1 × 10^3 J / (3.6 × 10^-19 J)
3. Number of photons ≈ 2.78 × 10^22

Therefore, the correct answer is not given in the options provided. The correct answer is approximately 2.78 × 10^22 photons.