LIST I | LIST II | ||
A | Chlorophyll | 1 | \(Na _2 CO _3\) |
B | Soda ash | 2 | \(CaSO _4\) |
C | Dentistry, Ornamental work | 3 | \(Mg ^{2+}\) |
D | Used in white washing | 4 | \(Ca ( OH )_2\) |
To correctly match List I with List II, let's analyze each item:
A. Chlorophyll: - Chlorophyll contains magnesium (\( \text{Mg}^{2+} \)) as its central metal ion. - Match: A – III (\( \text{Mg}^{2+} \)).
B. Soda ash: - Soda ash is chemically sodium carbonate (\( \text{Na}_2\text{CO}_3 \)). - Match: B – I (\( \text{Na}_2\text{CO}_3 \)).
C. Dentistry, Ornamental work: - Calcium sulfate (\( \text{CaSO}_4 \)) is used in dentistry and ornamental work, especially in plaster form. - Match: C – II (\( \text{CaSO}_4 \)).
D. Used in white washing: - Slaked lime (\( \text{Ca(OH)}_2 \)) is commonly used in white washing. - Match: D – IV \(\text{Ca}(OH)_2\)
Conclusion: The correct matches are: \[ \text{A – III, B – I, C – II, D – IV} \]
Given below are two statements.
In the light of the above statements, choose the correct answer from the options given below:
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: