Question

Given that Plank's constant is 6.626 x 10-34 J*s (Joules time second) and the speed of light is 3.00 x 108 m/s, calculate the wavelength (m) of radiation if the Energy is 8.5 x 10-19 J?

Answer 1

2.34 x 10^(-7) meters.

Step-by-step explanation:

Let's calculate the wavelength using the given values:

Given:

Planck's constant (h) = 6.626 x 10^(-34) J*s

Speed of light (c) = 3.00 x 10^8 m/s

Energy (E) = 8.5 x 10^(-19) J

First, let's calculate the frequency:

frequency = Energy / Planck's constant

frequency = (8.5 x 10^(-19) J) / (6.626 x 10^(-34) J*s)

frequency ≈ 1.283 x 10^15 Hz

Now, let's calculate the wavelength using the frequency:

wavelength = (speed of light) / (frequency)

wavelength = (3.00 x 10^8 m/s) / (1.283 x 10^15 Hz)

wavelength ≈ 2.34 x 10^(-7) meters

Therefore, the wavelength of the radiation is approximately 2.34 x 10^(-7) meters.