calculate the energy associated with a photon whose wavelength is 14.5*10^-8cm.

E = hc/wavelength

To calculate the energy associated with a photon, you can use the equation E = h * c / λ, where E is the energy, h is Planck's constant (6.62607015 × 10^-34 J⋅s), c is the speed of light in a vacuum (2.998 × 10^8 m/s) and λ is the wavelength of the photon.

1. Convert the given wavelength from centimeters to meters:
λ = 14.5 × 10^-8 cm = 14.5 × 10^-10 m

2. Plug the values into the equation:
E = (6.62607015 × 10^-34 J⋅s) * (2.998 × 10^8 m/s) / (14.5 × 10^-10 m)

3. Simplify the equation:
E = (6.62607015 × 2.998) * (10^-34 * 10^8) / 14.5

4. Calculate the energy:
E ≈ 4.943 × 10^-19 J

Therefore, the energy associated with a photon of a wavelength 14.5 × 10^-8 cm is approximately 4.943 × 10^-19 J.