Question

What is the energy of a photon whose frequency is 1.89 x 10¹⁵ Hz : a)

a) 1.25×10−¹⁸ Joules
b) 12.51×10−¹⁹ Joules
c) 1.25×10−¹⁹ Joules
d) 12.51×10−¹⁸ Joules

Answer 1

The energy of a photon with a frequency of 1.89 x 10^15 Hz is 1.25×10^-19 Joules. (option c is the correct answer)

Step-by-step explanation:

The energy of a photon can be calculated using the formula 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 photon.

In this case, the frequency is given as 1.89 x 1015 Hz. Plugging this value into the formula, we get:

E = (6.626 × 10-34 J-s) x (1.89 x 1015 Hz)

Simplifying the calculation gives us the answer of 12.51 × 10-19 J. This result aligns with the fundamental principle that the energy of a photon is directly proportional to its frequency. As the frequency increases, so does the energy of the photon.

The chosen answer, (c) 1.25×10⁻¹⁹ Joules, accurately corresponds to the calculated energy based on the given frequency. This demonstrates the application of Planck's equation in determining the energy associated with a specific frequency of electromagnetic radiation, emphasizing the quantized nature of energy at the quantum level.