
A photon has a wavelength of 715 nm. Calculate the energy of the photon and joules. Round your answer to three significant digits.

To calculate the energy of a photon, we use the equation derived from Planck's equation:

\[
E = \frac{h \cdot c}{\lambda}
\]

where:
- \( E \) is the energy of the photon,
- \( h \) is Planck's constant \((6.626 \times 10^{-34} \, \text{J} \cdot \text{s})\),
- \( c \) is the speed of light \((3.00 \times 10^8 \, \text{m/s})\),
- \( \lambda \) is the wavelength of the photon in meters.

First, convert the given wavelength from nanometers (nm) to meters:

\[
\lambda = 715 \, \text{nm} = 715 \times 10^{-9} \, \text{m}
\]

Now, substitute the values into the energy equation:

\[
E = \frac{(6.626 \times 10^{-34}) \cdot (3.00 \times 10^8)}{715 \times 10^{-9}}
\]

Let me calculate this for you.It seems like the result was unexpectedly rounded to zero. Let me double-check and perform the calculation again carefully to ensure accurate results.The energy of the photon with a wavelength of 715 nm is approximately \( 2.78 \times 10^{-19} \) joules, rounded to three significant digits.

Do you have any further questions or need more details?

Here are some related questions for deeper understanding:
1. How does wavelength affect the energy of a photon?
2. What is the relationship between frequency and photon energy?
3. Can you calculate the energy of a photon with a shorter wavelength, like 500 nm?
4. How does Planck's constant influence photon energy calculations?
5. What are common applications of photon energy in everyday technology?

**Tip:** Energy and wavelength are inversely related, so shorter wavelengths result in higher energy photons.

A photon has a wavelength of 715 nm. Calculate the energy of the photon and joules. Round your answer to three significant digits.

Find out how to calculate the energy of a photon with a wavelength of 715 nm using Planck's equation. Learn the step-by-step process, including unit conversions and applying key physics formulas. This problem is perfect for students in Grades 10-12 studying physics and photonic energy.

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