Question

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

Answer 1

Energy of a single photon with the given wavelength is
`E=3.32* 10^(-19)\ J`

Step-by-step explanation:

It is given that,

The wavelength of yellow light,
`\lambda=6* 10^(-7)\ m`

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 :

`E=h\\u`

where
`\\u` is the frequency of the wave and
`\\u=(c)/(\lambda)`

h is Planck's constant

So,
`E=(hc)/(\lambda)`

`E=(6.62* 10^(-34)\ J-s* 3* 10^8\ m/s)/(6* 10^(-7)\ m)`

`E=3.32* 10^(-19)\ J`

So, the energy of photon is
`E=3.32* 10^(-19)\ J`