Match List I with List II:
Choose the correct answer from the options given below:
The monomer (X) involved in the synthesis of Nylon 6,6 gives positive carbylamine test. If 10 moles of X are analyzed using Dumas method, the amount (in grams) of nitrogen gas evolved is ____. Use: Atomic mass of N (in amu) = 14
The correct match of the group reagents in List-I for precipitating the metal ion given in List-II from solutions is:
| List-I | List-II |
|---|---|
| (P) Passing H2S in the presence of NH4OH | (1) Cu2+ |
| (Q) (NH4)2CO3 in the presence of NH4OH | (2) Al3+ |
| (R) NH4OH in the presence of NH4Cl | (3) Mn2+ |
| (S) Passing H2S in the presence of dilute HCl | (4) Ba2+ (5) Mg2+ |
In the circuit shown, assuming the threshold voltage of the diode is negligibly small, then the voltage \( V_{AB} \) is correctly represented by:
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: