Step 1. Analysis of Statement (I): - Viscosity is a measure of a fluid’s resistance to flow. Generally, liquids have higher viscosity than gases because of stronger intermolecular forces in liquids. Therefore, Statement (I) is incorrect.
Step 2. Analysis of Statement (II): - Surface tension is influenced by impurities. Insoluble impurities generally decrease the surface tension of a liquid by disrupting cohesive forces at the surface. Thus, Statement (II) is correct.
Since Statement I is incorrect and Statement II is correct, the correct answer is (2).
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: