Introduction:
The statements in question pertain to the deployment of 5G networks and the use of mm-Wave spectrum. Let us analyze each statement to determine their correctness.

Statement 1: The 5G networks will operate in the mm-Wave spectrum.
This statement is correct. The 5G networks are designed to operate in multiple frequency bands, including the mm-Wave spectrum. The mm-Wave spectrum refers to radio frequencies above 24 GHz, specifically between 30 GHz and 300 GHz. These high-frequency bands offer a larger bandwidth and faster data transfer rates, making them suitable for the next generation of wireless communication.

Statement 2: Use of mm-Wave spectrum may result in Out-of-band emission.
This statement is also correct. Out-of-band emission refers to the transmission of signals outside the allocated frequency bands. When using the mm-Wave spectrum for 5G networks, there is a possibility of out-of-band emission. The higher frequency signals in the mm-Wave spectrum have shorter wavelengths, which makes them more susceptible to obstacles such as buildings, trees, and even rain. As a result, the signals may scatter and interfere with adjacent frequency bands, leading to out-of-band emission.

Explanation:
The deployment of 5G networks in the mm-Wave spectrum offers numerous benefits, including higher data rates, reduced latency, and increased network capacity. However, it also poses certain challenges, such as limited range and potential interference with adjacent frequency bands.

- Benefits of mm-Wave spectrum:
- High data rates: The mm-Wave spectrum provides a larger bandwidth, enabling higher data transfer rates. This is crucial for supporting emerging technologies like Internet of Things (IoT), virtual reality (VR), and augmented reality (AR).
- Reduced latency: By operating in the mm-Wave spectrum, 5G networks can achieve lower latency, ensuring faster response times for real-time applications.
- Increased network capacity: The availability of a wider bandwidth allows for more simultaneous connections and higher network capacity.

- Challenges of mm-Wave spectrum:
- Limited range: Signals in the mm-Wave spectrum have shorter wavelengths, resulting in limited range compared to lower frequency bands. This necessitates the installation of more small-cell base stations to ensure adequate coverage.
- Obstacle interference: The higher frequency signals of the mm-Wave spectrum are more susceptible to obstacles like buildings, trees, and even rain. These obstacles can cause signal attenuation, scattering, and interference, potentially leading to out-of-band emission.

Conclusion:
In conclusion, both statements are correct. 5G networks are designed to operate in the mm-Wave spectrum, which offers higher data rates, reduced latency, and increased network capacity. However, the use of mm-Wave spectrum also poses challenges such as limited range and potential out-of-band emission due to obstacles and interference.