Match the list-I with list-II 
Step 1: Understanding the reagents and their uses.
We need to match the reagents from List-I with the corresponding chemical reactions or reagents used in List-II. Let's analyze each reagent and its application:
Step 2: Reagent analysis.
- (I) Tollen's reagent: Tollen's reagent is used for the detection of aldehydes, particularly in the silver mirror test. It contains \(\text{Cu}^{2+}\) and \(\text{OH}^-\) ions. Hence, it matches with \((P)\).
- (II) Fehling's reagent: Fehling's reagent is used to test for the presence of reducing sugars and aldehydes, where it reacts with \([Ag(NH_3)_2]^+\) and \(\text{OH}^-\) ions. It corresponds with \((S)\).
- (III) Williamson method: The Williamson ether synthesis method uses an alkoxide (\(RO^-\)) reacting with alkyl halides (R-X) to form ethers, which corresponds with \((R)\).
- (IV) Bayer's reagent: Bayer's reagent is used for the oxidation of alkenes to diols using diluted potassium permanganate (\(KMnO_4\)), hence it corresponds with \((R)\).
Step 3: Conclusion.
The correct matching is (B) because each reagent corresponds with the correct chemical reagent or reaction as described. (B) (I)-(P), (II)-(S), (III)-(R), (IV)-(R).
What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)

Cobalt chloride when dissolved in water forms pink colored complex $X$ which has octahedral geometry. This solution on treating with cone $HCl$ forms deep blue complex, $\underline{Y}$ which has a $\underline{Z}$ geometry $X, Y$ and $Z$, respectively, are

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: H2Te is more acidic than H2S.
Reason R: Bond dissociation enthalpy of H2Te is lower than H2S.
In light of the above statements, choose the most appropriate from the options given below:


What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)
A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien's constant, b = 2.88×106 nm-K. Then,