The correct statement among the following, regarding defects in solids is
$1$) Frenkel defect is favored by small difference in the sizes of cation and anion.
$2$) Frenkel defect is a metal excess defect.
$3$) Trapping of electron in the lattice leads to formation of F-centres.
$4$) Schottky defect has no effect on the physical property of solids.

When ethanol is treated with sulphuric acid at \(413 \mathrm{~K}\) the reaction involved in it is

Ag crystallises in fcc lattice. What is the total number of tetrahedral voids present in \(540 \mathrm{~g}\) of Ag metal? \(\left(N_A=\right.\) Avagadro number; \(\mathrm{Ag}\) atomic weight \(=108 \mathrm{~g} \mathrm{~mol}^{-1}\) )

Which of the following belongs to the homologous series of \(\mathrm{C}_5 \mathrm{H}_8 \mathrm{O}_2 \mathrm{~N}\) ?

In the reaction, \(A \rightarrow\) products, If the concentration of the reactant is doubled rate of the reaction remains unchanged. The order of the reaction with respect to \(\mathrm{A}\) is

Match the following
\begin{array}{lll}
& \begin{array}{l}
List I \\
(Complex)
\end{array} & \begin{array}{l}
List II \\
(Color)
\end{array} \\
A. \left[\mathrm{Ni}(\mathrm{en})_3\right]^{2+} & I. & Green \\
B. \left[\mathrm{Ni}\left(\mathrm{H}_2 \mathrm{O}\right)_4(\mathrm{en})\right]^{2+} & II. Blue \\
C. \left[\mathrm{Ni}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+} & III. Pale blue \\
D. \left[\mathrm{Ni}\left(\mathrm{H}_2 \mathrm{O}\right)_6(\mathrm{en})_2\right]^{2+} & IV. Violet
\end{array}

The molar conductivity of \(0.027 \mathrm{M}\) methanoic acid is \(40.42 \mathrm{Scm}^2 \mathrm{~mol}^{-1}\). The value of dissociation constant of this acid is
\(\left(\right.\) Given \(\lambda_{\mathrm{H}^{+}}^{\circ}=349.6 \mathrm{~S}_{.}, \mathrm{cm}^2 \mathrm{~mol}^{-1}\) and \(\lambda_{\mathrm{HCOO}^{-}}^{\circ}=54.6 \mathrm{~S}\) \(\left.\mathrm{cm}^2 \mathrm{~mol}^{-1}\right)\)

If \(\int \frac{1}{1-\cos x} d x=\tan \left(\frac{x}{\alpha}+\beta\right)+c\), then one of the values of \(\frac{\pi \alpha}{4}-\beta\) is

The order of dipole moments of \(\mathrm{H}_2 \mathrm{O}(\mathrm{A}), \mathrm{CHCl}_3(\mathrm{~B})\) and \(\mathrm{NH}_3(\mathrm{C})\) is

A square frame of side \(1 \mathrm{~m}\) carrying a current \(I\) produces a magnetic field \(B\) at its centre. The same current is passed through a circular coil having the same perimeter as the square. The magnetic field at the centre of the circular coil is \(B^{\prime}\). The ratio of \(\frac{B}{B^{\prime}}\) is

If the angle between the lines joining the origin to the points of intersection of \(x+2 y+\lambda=0\) and \(2 x^2-2 x y+3 y^2+2 x-y-1=0\) is \(\frac{\pi}{2}\), then a value of \(\lambda\) is

A circle \(S\) cuts three circles
\(\begin{aligned}
& x^2+y^2-4 x-2 y+4=0 \\
& x^2+y^2-2 x-4 y+1=0 \\
& \text { and } x^2+y^2+4 x+2 y+1=0 \text { orthogonally. }
\end{aligned}\)
Then, the radius of \(S\) is

From the following data at \(25^{\circ} \mathrm{C}\), calculate the \(\Delta_{\mathrm{r}} \mathrm{H}^0\) for \(\mathrm{H}_2 \mathrm{O}(\mathrm{g}) \rightarrow 2 \mathrm{H}(\mathrm{g})+\mathrm{O}(\mathrm{g})\)
reaction: \(\Delta_{\mathrm{r}} \mathrm{H}^0\left(\mathrm{~kJ} \mathrm{~mol}^{-1}\right)\)
\[
\begin{array}{ll}
\frac{1}{2} \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{OH}(\mathrm{g}) & 42.09 \\
\mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{g}) & -242 \\
\mathrm{H}_2(\mathrm{~g}) \rightarrow 2 \mathrm{H}(\mathrm{g}) & 436 \\
\mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{O}(\mathrm{g}) & 496
\end{array}
\]