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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

A1.33 x 10-48

B3.32 x 10-49

C1.19 x 10-31

D3.32 x 10-19

Verified Answer :

Answer:

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

Explanation:

It is given that,  

The wavelength of yellow light,  \(\lambda=6\times 10^{-7}\ m\)

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 \(u=\dfrac{c}{\lambda}\)

h is Planck's constant

So, \(E=\dfrac{hc}{\lambda}\)

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

\(E=3.32\times 10^{-19}\ J\)

So, the energy of photon is \(E=3.32\times 10^{-19}\ J\)