Photoelectric Effects and deBroglie Equation: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Photoelectric Effects and deBroglie Equation. Understanding the underlying formula is key to arriving at the correct answer below:

Using the de Broglie wavelength formula \(\lambda = \frac{h}{mv}\), the velocity is (v = \frac{h}{m\lambda}\). Therefore, \(\frac{v_p}{v_\alpha} = \frac{m_\alpha \lambda_\alpha}{m_p \lambda_p} = \frac{4 m_p \cdot \lambda}{m_p \cdot 3\lambda} = \frac{4}{3}\).