Statement I: False. A buffer solution is a mixture of a weak acid and its conjugate base (or a weak base and its conjugate acid) in specific ratios. The statement's claim of "any particular quantities" is incorrect.
Statement II: True. Blood is a naturally occurring buffer system, primarily maintained by the H$_2$CO$_3$/HCO$_3^-$ system, which helps regulate pH within a narrow range.
Thus, only Statement II is correct.
In the given circuit the sliding contact is pulled outwards such that the electric current in the circuit changes at the rate of 8 A/s. At an instant when R is 12 Ω, the value of the current in the circuit will be A.
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:
For $ \alpha, \beta, \gamma \in \mathbb{R} $, if $$ \lim_{x \to 0} \frac{x^2 \sin \alpha x + (\gamma - 1)e^{x^2} - 3}{\sin 2x - \beta x} = 3, $$ then $ \beta + \gamma - \alpha $ is equal to: