Chemistry Chapter 3 HW

Question

Assume such an instrument has been adjusted to detect quanta that have 3.25 x 10–16 J of energy. What is the wavelength of the detected radiation? Give your answer in nanometers. 

Answer 1

E = hc/λ

E = energy = 3.25x10^-16 J

h = Plank's constant = 6.626x10^-34 Js

c = speed of light (3x10⁸ m/s)

λ = wavelength = ?

3.25x10^-16 J = (6.626x10^-34 Js)(3x10⁸ m/s) / λ

3.25x10^-16 J = 1.99x10^-25 Jm^-1 / λ

λ = 0.612 nm