Question

the wavelength of a particular color of red light is 699 nm (109 nm = 1 m). the energy of this wavelength of light is kj/photon. submit answer try another version 3 item attempts remaining use the references to access important values if needed for this question.

Explanation:

Step1: Convert wavelength to meters

Given wavelength \(\lambda = 699\ nm=699\times10^{- 9}\ m\)

Step2: Use the formula \(E = hc/\lambda\)

where \(h = 6.626\times10^{-34}\ J\cdot s\) (Planck's constant) and \(c = 3\times10^{8}\ m/s\) (speed of light)

\(E=\frac{6.626\times 10^{-34}\times3\times 10^{8}}{699\times10^{-9}}\)

\(E=\frac{19.878\times10^{-26}}{699\times10^{-9}}\)

\(E = 2.844\times10^{-19}\ J\) per photon

Step3: Convert energy to kJ per photon

Since \(1\ kJ=1000\ J\)

\(E=(2.844\times10^{-19}\ J)\times\frac{1\ kJ}{1000\ J}=2.844\times10^{-22}\ kJ\) per photon

Answer:

\(2.84\times 10^{-22}\)