Final answer:
The energy associated with a photon with a wavelength of approximately 2×10⁻7m is approximately 9.938 × 10^-19 J.
Step-by-step explanation:
The energy of a photon can be calculated using the equation E = hc/λ, where h is Planck's constant (6.626 × 10-34 J × s), c is the speed of light (3.00 × 10^8 m/s), and λ is the wavelength of the photon in meters.
Substituting the given wavelength of 2×10⁻7m into the equation, we get E = (6.626 × 10-34 J × s)(3.00 × 10^8 m/s)/(2×10⁻7m) = 9.938 × 10^-19 J.
Therefore, the energy associated with the photon is approximately 9.938 × 10^-19 J.