Can someone help me with this?

A yellow lamp emits light with a wavelength of 6.00 · 10-7 m. Use Planck's equation to calculate the energy of a single photon with the given wavelength.

E = _____ J

A. 1.33 x 10-48

B. 3.32 x 10-49

C. 1.19 x 10-31

D. 3.32 x 10-19

Respuesta :

Answer:

Energy of a single photon with the given wavelength is [tex]E=3.32\times 10^{-19}\ J[/tex]

Explanation:

It is given that,  

The wavelength of yellow light,  [tex]\lambda=6\times 10^{-7}\ m[/tex]

The equation that gives the relationship between the energy and the frequency of the wave is called Plank's equation. Mathematically, it can be written as :

[tex]E=h\nu[/tex]

where [tex]\nu[/tex] is the frequency of the wave and [tex]\nu=\dfrac{c}{\lambda}[/tex]

h is Planck's constant

So, [tex]E=\dfrac{hc}{\lambda}[/tex]

[tex]E=\dfrac{6.62\times 10^{-34}\ J-s\times 3\times 10^8\ m/s}{6\times 10^{-7}\ m}[/tex]

[tex]E=3.32\times 10^{-19}\ J[/tex]

So, the energy of photon is [tex]E=3.32\times 10^{-19}\ J[/tex]