To solve the question, we need to analyze both statements regarding the Compton effect and determine their validity.
### Step-by-Step Solution:
1. **Understanding the Compton Effect**:
- The Compton effect refers to the scattering of a photon (light particle) by a free electron. When a photon collides with an electron, it transfers some of its energy to the electron, resulting in a change in the photon's wavelength.
2. **Analyzing Statement 1**:
- Statement 1 claims that "in the Compton effect, the scattered photon has a wavelength more than the incident photon."
- When a photon with an initial energy \(E_1\) (and corresponding wavelength \(\lambda_1\)) collides with an electron, it loses some energy during the collision. The energy of the scattered photon is \(E_2\), which is less than \(E_1\) (i.e., \(E_2 < E_1\)).
- Since energy and wavelength are inversely related (\(E = \frac{hc}{\lambda}\)), a decrease in energy implies an increase in wavelength. Therefore, \(\lambda_2 > \lambda_1\).
- Thus, Statement 1 is **True**.
3. **Analyzing Statement 2**:
- Statement 2 states that "energy and momentum are conserved during the scattering of a photon by an electron."
- In any collision, both energy and momentum must be conserved. In the case of the Compton effect, the total energy before the collision (energy of the incident photon plus the rest energy of the electron) is equal to the total energy after the collision (energy of the scattered photon plus the kinetic energy of the recoiling electron).
- Similarly, momentum conservation applies as well. Therefore, Statement 2 is also **True**.
4. **Determining the Relationship Between the Statements**:
- Statement 2 provides a correct explanation for Statement 1. Since the scattering of the photon leads to a change in wavelength due to energy transfer, the conservation laws explained in Statement 2 validate the observation made in Statement 1.
5. **Conclusion**:
- Both statements are true, and Statement 2 is a correct explanation of Statement 1. Therefore, the correct answer is that both statements are true, and Statement 2 provides the correct explanation for Statement 1.
### Final Answer:
- **Both Statement 1 and Statement 2 are true, and Statement 2 is the correct explanation of Statement 1.**
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