Final answer:
The energy of an electromagnetic wave with a wavelength of 7.0 × 10^-12 m is approximately 2.84 × 10^-14 J.
Step-by-step explanation:
The energy of an electromagnetic wave can be determined using the equation E = hc/λ, where E is the energy, 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. Given that the wavelength is 7.0 × 10^-12 m and hc is 1.99 × 10^-25 Jm², we can substitute the values into the equation to find the energy:
E = (1.99 × 10^-25 Jm²) / (7.0 × 10^-12 m) = 2.84 × 10^-14 J
Therefore, the energy of the electromagnetic wave with a wavelength of 7.0 × 10^-12 m is approximately 2.84 × 10^-14 J.