# What is the energy of a photon that emits a light of frequency #4.47 times 10^14# #Hz#?

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The energy of the photon of light is

The energy of a photon of a particular wavelength is determined using the following formula:

where:

Plug the data into the formula and solve.

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The energy of a photon emitting light of frequency ( f ) is given by the formula:

[ E = hf ]

where ( h ) is Planck's constant (( 6.62607015 \times 10^{-34} ) J·s) and ( f ) is the frequency of the light.

Plugging in the values:

[ E = (6.62607015 \times 10^{-34} , \text{J·s}) \times (4.47 \times 10^{14} , \text{Hz}) ]

[ E \approx 2.96 \times 10^{-19} , \text{J} ]

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