All photons of light have same energy.

Answer

To solve the question "All photons of light have the same energy," we will analyze the properties of photons and their energy relationship with frequency and wavelength.

### Step-by-Step Solution:

1. **Understanding Photons**:
- Photons are elementary particles that represent a quantum of light or other electromagnetic radiation. They are considered as packets of energy.

2. **Energy of a Photon**:
- The energy (E) of a photon is given by the formula:
\[ E = h \nu \]
where:
- \(E\) = energy of the photon
- \(h\) = Planck's constant (\(6.626 \times 10^{-34} \, \text{Js}\))
- \(\nu\) = frequency of the photon

3. **Relationship Between Frequency and Wavelength**:
- The frequency (\(\nu\)) of light is related to its wavelength (\(\lambda\)) by the equation:
\[ \nu = \frac{c}{\lambda} \]
where:
- \(c\) = speed of light (\(3.00 \times 10^8 \, \text{m/s}\))

4. **Substituting Frequency in Energy Formula**:
- By substituting the expression for frequency into the energy formula, we can express energy in terms of wavelength:
\[ E = h \left(\frac{c}{\lambda}\right) = \frac{hc}{\lambda} \]
- This shows that the energy of a photon is inversely proportional to its wavelength.

5. **Conclusion**:
- Since the energy of a photon depends on its wavelength, and different wavelengths correspond to different energies, it follows that not all photons have the same energy. Therefore, the statement "All photons of light have the same energy" is **false**.

### Final Answer:
No, all photons of light do not have the same energy. The energy of a photon depends on its frequency or wavelength, and different wavelengths correspond to different energies.

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