Formation of photochemical smog involves the following reaction in which A, B, and C are respectively:
\(\text{NO}_2 \xrightarrow{h\nu} \text{A} + \text{B}\)
\(\text{B} + \text{O}_2 \rightarrow \text{C}\)
\(\text{A} + \text{C} \rightarrow \text{NO}_2 + \text{O}_2\)
Choose the correct answer from the options given below:
NO, O, and O3
N2O and NO
N, O2, and O3
O, NO, and NO3
Step 1: Breakdown of Reactions
Reaction (i): \(\text{NO}_2\) undergoes photodissociation under sunlight:
\[\text{NO}_2 \xrightarrow{h\nu} \text{NO (A)} + \text{O (B)}.\]
Reaction (ii): The oxygen radical (B) reacts with molecular oxygen to form ozone:
\[\text{O (B)} + \text{O}_2 \rightarrow \text{O}_3 (\text{C}).\]
Reaction (iii) \(\text{NO (A)}\) reacts with ozone to regenerate \(\text{NO}_2\) and molecular oxygen:
\[\text{NO (A)} + \text{O}_3 (\text{C}) \rightarrow \text{NO}_2 + \text{O}_2.\]
Step 2: Identify A, B, and C
From the reactions:
\(\text{A} = \text{NO}\) (Nitric oxide),
\(\text{B} = \text{O}\) (Oxygen radical),
\(\text{C} = \text{O}_3\) (Ozone).
Conclusion: The correct answer is (4) NO, O, and O\(_3\)
In Carius method for estimation of halogens, 180 mg of an organic compound produced 143.5 mg of AgCl. The percentage composition of chlorine in the compound is ___________%. [Given: Molar mass in g mol\(^{-1}\) of Ag = 108, Cl = 35.5]


For the circuit shown above, the equivalent gate is:
Let \( f : \mathbb{R} \to \mathbb{R} \) be a twice differentiable function such that \[ (\sin x \cos y)(f(2x + 2y) - f(2x - 2y)) = (\cos x \sin y)(f(2x + 2y) + f(2x - 2y)), \] for all \( x, y \in \mathbb{R}. \)
If \( f'(0) = \frac{1}{2} \), then the value of \( 24f''\left( \frac{5\pi}{3} \right) \) is: