The property/properties that show irregularity in first four elements of group-17 is/are :
(A) Covalent radius
(B) Electron affinity
(C) Ionic radius
(D) First ionization energy
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The number of incorrect statement \(/ s\) about the black body from the following is \(........\). \((A)\) Emit or absorb energy in the form of electromagnetic radiation \((B)\) Frequency distribution of the emitted radiation depends on temperature \((C)\) At a given temperature, intensity vs frequency curve passes through a maximum value \((D)\) The maximum of the intensity vs frequency curve is at a higher frequency at higher temperature compared to that at lower temperature

The density of \(3\,M\) solution of sodium chloride is \(1.252\,g\,mL^{-1}\) . The molality of the solution will be ............. \(\mathrm{m}\) (molar mass, \(NaCl = 585\,g\,mol^{-1}\) )

0.1 M solution of KI reacts with excess of \(\mathrm{H}_2 \mathrm{SO}_4\) and \(\mathrm{KIO}_3\) solutions. According to equation
\(5 \mathrm{I}^{-}+\mathrm{IO}_3^{-}+6 \mathrm{H}^{+} \rightarrow 3 \mathrm{I}_2+3 \mathrm{H}_2 \mathrm{O}\)

Identify the correct statements :
(A) 200 mL of KI solution reacts with 0.004 mol of \(\mathrm{KIO}_3\)
(B) 200 mL of KI solution reacts with 0.006 mol of \(\mathrm{H}_2 \mathrm{SO}_4\)
(C) 0.5 L of KI solution produced 0.005 mol of \(\mathrm{I}_2\)
(D) Equivalent weight of \(\mathrm{KIO}_3\) is equal to ( \(\frac{\text { Molecular weight }}{5}\) )

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Consider the following set of quantum numbers

	\(n\)	\(l\)	\(m_l\)
\(A\)	\(3\)	\(3\)	\(-3\)
\(B\)	\(3\)	\(2\)	\(-2\)
\(C\)	\(2\)	\(1\)	\(+1\)
\(D\)	\(2\)	\(2\)	\(+2\)

The number of correct sets of quantum numbers is ..... .

Match List-I with List-II.

List-I Reagents	List-II Reaction Name (Involving aldehydes)
A. \(H _2, Pd - BaSO _4\)	I. Etard Reaction
B. \(SnCl _2, HCl\)	II. Rosenmund Reduction
C. \(CrO _2 Cl _2, CS _2\)	III. Gatterman-Koch Reaction
D. \( CO , HCl , \) \( \text { Anhyd. } AlCl _3\)	IV. Stephen Reaction

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The correct statements are:
A. Activation energy for enzyme catalysed hydrolysis of sucrose is lower than that of acid catalysed hydrolysis.
B. During denaturation, secondary and tertiary structures of a protein are destroyed but primary structure remains intact.
C. Nucleotides are joined together by glycosidic linkage between \(C_{1}\) and \(C_{4}\) carbons of the pentose sugar.
D. Quaternary structure of proteins represents overall folding of the polypeptide chain.
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Four particles \(A, B, C\) and \(D\) with masses \(m_A=m, m_B=2m, m_C=3m\) and \(m_D=4m\) are at the corners of a square. They have accelerations of equal magnitude with directions as shown. The acceleration of the centre of mass of the particles is

Identify the correct statements from the following

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Let \(f: R \rightarrow R\) be a continuous function. Then \(\lim _{x \rightarrow \frac{\pi}{4}} \frac{\frac{\pi}{4} \int_{2}^{\sec ^{2} x} f(x) d x}{x^{2}-\frac{\pi^{2}}{16}}\) is equal to :

A \(220 \; V , 50 \; Hz\) AC source is connected to a \(25 \; V\), \(5 \; W\) lamp and an additional resistance \(R\) in series (as shown in figure) to run the lamp at its peak brightness, then the value of \(R\) (in ohm) will be

Identify the correct IUPAC name of hydrocarbon (\(x\)) containing three primary carbon atoms and with molar mass \(72\text{ g mol}^{-1}\).

If \(A_2 B\) is \(30 \%\) ionised in an aqueous solution, then the value of van't Hoff factor (i) is ______ \(\times 10^{-1}\).