A disproportionation reaction is a type of redox reaction where a single substance is simultaneously oxidized and reduced, forming two different products. Only species in an intermediate oxidation state can undergo such reactions.
The given species are analyzed as follows:
From the list, the species that can undergo disproportionation reactions are:
H2O2, P4, Cl2, Cu+, NO2
Total number of species = 6.
Let one focus of the hyperbola $ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 $ be at $ (\sqrt{10}, 0) $, and the corresponding directrix be $ x = \frac{\sqrt{10}}{2} $. If $ e $ and $ l $ are the eccentricity and the latus rectum respectively, then $ 9(e^2 + l) $ is equal to:
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: