Compared to a 620 nm photon, a 760 nm photon has
Group of answer choices

shorter wavelength, lower frequency, and lower energy.

shorter wavelength, higher frequency, and lower energy

longer wavelength, lower frequency, and lower energy.

longer wavelength, higher frequency, and higher energy.
 

To answer this question, we need to understand the relationship between wavelength, frequency, and energy for photons.

The energy \( E \) of a photon is given by the equation:
\[
E = h \nu
\]
where:
- \( h \) is Planck's constant,
- \( \nu \) is the frequency.

The frequency \( \nu \) is related to the wavelength \( \lambda \) by the equation:
\[
\nu = \frac{c}{\lambda}
\]
where:
- \( c \) is the speed of light,
- \( \lambda \) is the wavelength.

From these two equations, we can see that:
- **Longer wavelength** corresponds to **lower frequency** because \( \nu = \frac{c}{\lambda} \).
- **Lower frequency** means **lower energy** since \( E = h \nu \).

### Comparing 760 nm and 620 nm:
- **760 nm** is a longer wavelength than **620 nm**.
- Since frequency is inversely proportional to wavelength, a **longer wavelength** (760 nm) will have a **lower frequency**.
- Lower frequency means **lower energy**.

Thus, the correct answer is:

**"longer wavelength, lower frequency, and lower energy."**

Would you like further details or explanations on this topic?  
Here are 5 related questions to expand your understanding:

1. How is the energy of a photon related to its wavelength?
2. What is the significance of Planck's constant in quantum mechanics?
3. How does the frequency of light affect its color in the visible spectrum?
4. Why is the speed of light constant in a vacuum?
5. How does photon energy relate to the concept of electromagnetic radiation?

**Tip**: Remember, shorter wavelengths correspond to higher energy in the electromagnetic spectrum.

Compared to a 620 nm photon, a 760 nm photon has: 
1. shorter wavelength, lower frequency, and lower energy.
2. shorter wavelength, higher frequency, and lower energy.
3. longer wavelength, lower frequency, and lower energy.
4. longer wavelength, higher frequency, and higher energy.

Understand how a 760 nm photon compares to a 620 nm photon in terms of wavelength, frequency, and energy. This explanation covers key concepts in quantum physics, including Planck's relation and the inverse relationship between wavelength and frequency. Suitable for Grades 10-12 students.

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