Question

What is the energy of an electromagnetic wave that has a wavelength of 7.0 x 10^-12 m? Use the equation E = hc/λ, where hc = 1.99 x 10^-25 Jm².

A. 1.4 x 10^-36 J
B. 2.8 x 10^-14 J
C. 7.2 x 10^35 J
D. 9.0 x 10^-37 J

Answer 1

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.