Prolonged heating is avoided during the preparation of ferrous ammonium sulphate to

The group having triangular planar structures is

Solid \(Ba(NO_3)_2\) is gradually dissolved in a \(1.0 \times 10^{-4}\, M\, Na_2CO_3\) solution. At which concentration of \(Ba^{2+}\), precipitate of \(BaCO_3\) begins to form ? \((K_{sp}\) for \(BaCO_3 = 5.1 \times 10^{-9})\)

In Carius method of estimation of halogens, \(250 \,mg\) of an organic compound gave \(141 \,mg\) of \(AgBr.\) The percentage of bromine in the compound is :  (at. mass \(Ag =108; Br = 80\))

The osmotic pressure of blood is \(7.47\, bar\) at \(300\, K\). To inject glucose to a patient intravenously, it has to be isotonic with blood. The concentration of glucose solution in \(g\,L ^{-1}\) is \(......\) (Molar mass of glucose \(=180 \,g\, mol ^{-1}\) \(R =0.083\, L\) bar \(K ^{-1} \,mol ^{-1}\) ) (Nearest integer)

The standard entropy change for the reaction \(4 Fe ( s )+3 O _{2}( g ) \rightarrow 2 Fe _{2} O _{3}( s )\) is \(-550\, JK ^{-1}\) at \(298 \,K\). [Given : The standard enthalpy change for the reaction is \(-165\, kJ\, mol ^{-1}\). The temperature in \(K\) at which the reaction attains equilibrium is ... . (Nearest Integer)

Match items of column \(I\) and \(II\)

Column \(I\) (Mixture of compounds)	Column \(II\) (Separation Technique)
\(A\) \(H _2 O / CH _2 Cl _2\)	\(I\) Crystallization
\(B\) \(Image\)	\(II\) Differential solvent extraction
\(C\) Kerosene/Naphthalene	\(III\) Column chromatography
\(D\) \(C _6 H _{12} O _6 / NaCl\)	\(IV\) Fractional Distillation

Correct match is : 

A \(16\  \Omega\) wire is bend to form a square loop. A \(9 \mathrm{~V}\) battery with internal resistance \(1\  \Omega\) is connected across one of its sides. If a \(4\  \mu \mathrm{F}\) capacitor is connected across one of its diagonals, the energy stored by the capacitor will be \(\frac{x}{2} \ \mu \mathrm{J}\). where \(x=\) ________.

The correct IUPAC nomenclature for the following compound is

Let \(L_1: \overrightarrow{\mathrm{r}}=(\hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}})+\lambda(\hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}}), \lambda \in \mathrm{R}\) \(L_2: \overrightarrow{\mathrm{r}}=(\hat{\mathrm{j}}-\hat{\mathrm{k}})+\mu(3 \hat{\mathrm{i}}+\hat{\mathrm{j}}+\mathrm{p} \hat{\mathrm{k}}), \mu \in \mathrm{R}\) and  \(L_3: \overrightarrow{\mathrm{r}}=\delta(\ell \hat{\mathrm{i}}+\mathrm{m} \hat{\mathrm{j}}+\mathrm{n} \hat{\mathrm{k}}) \delta \in \mathrm{R}\). Be three lines such that \(\mathrm{L}_1\) is perpendicular to \(\mathrm{L}_2\) and \(L_3\) is perpendicular to both \(L_1\) and \(L_2\). Then the point which lies on \(\mathrm{L}_3\) is

A solid sphere of radius \(R\) gravitationally attracts a particle placed at \(3 R\) form its centre with a force \(F _{1}\). Now a spherical cavity of radius \(\left(\frac{ R }{2}\right)\) is made in the sphere (as shown in figure) and the force becomes \(F _{2}\). The value of \(F _{1}: F _{2}\) is

A straight magnetic strip has a magnetic moment of \(44 \mathrm{Am}^2\). If the strip is bent in a semicircular shape, its magnetic moment will be _______\(\mathrm{Am}^2\) \(\left(\right.\) Given \(\left.\pi=\frac{22}{7}\right)\)

For \(0<\theta<\pi / 2\), if the eccentricity of the hyperbola \(\mathrm{x}^2-\mathrm{y}^2 \operatorname{cosec}^2 \theta=5\) is \(\sqrt{7}\) times eccentricity of the ellipse \(x^2 \operatorname{cosec}^2 \theta+y^2=5\), then the value of \(\theta\) is :