Which colour of phton has greater energy either red or voilet ?

Answer

To determine which color of photon has greater energy between red and violet, we can use Planck's equation and the relationship between wavelength and energy.

### Step-by-Step Solution:

1. **Understand Planck's Equation**:
The energy (E) of a photon is given by the equation:
\[ E = h \nu \]
where \( h \) is Planck's constant and \( \nu \) (nu) is the frequency of the photon.

**Hint**: Remember that frequency is related to wavelength.

2. **Relate Frequency and Wavelength**:
The speed of light (c) is related to frequency and wavelength by the equation:
\[ c = \lambda \nu \]
where \( \lambda \) (lambda) is the wavelength of the photon.

**Hint**: You can express frequency in terms of wavelength using this relationship.

3. **Substitute Frequency in Planck's Equation**:
By substituting \( \nu \) from the speed of light equation into Planck's equation, we get:
\[ E = h \frac{c}{\lambda} \]
This shows that energy is inversely proportional to wavelength.

**Hint**: Focus on how changing the wavelength affects energy.

4. **Compare Wavelengths of Red and Violet Light**:
It is known that the wavelength of red light is greater than that of violet light. Specifically, red light has a longer wavelength (around 620-750 nm) compared to violet light (around 380-450 nm).

**Hint**: Recall the order of colors in the visible spectrum and their corresponding wavelengths.

5. **Determine Energy Based on Wavelength**:
Since energy is inversely proportional to wavelength, this means:
- Longer wavelength (red) corresponds to lower energy.
- Shorter wavelength (violet) corresponds to higher energy.

**Hint**: Use the relationship between wavelength and energy to conclude which color has higher energy.

6. **Conclusion**:
Therefore, the energy of violet light is greater than the energy of red light.

**Final Answer**: The energy of violet photons is greater than the energy of red photons.