Match the following
\(\begin{array}{l|l}
\hline \text{List I} & \text{List II} \\
\hline \text{(Method)} & \text{(Metal refined)} \\
\hline \text{(A) Zone refining} & \text{(I)} \mathrm{Sn} \\
\hline \text{(B) Liquation} & \text{(II)} \mathrm{In} \\
\hline \text{(C) Vapour phase refining} & \text{(III)} \mathrm{Zn} \\
\hline \text{(D) Distillation} & \text{(IV)} \mathrm{Zr} \\
\hline & \text{(V)} \mathrm{Al} \\
\hline
\end{array}\)
The correct answer is

What are \(X, Y\) and \(Z\) in the following reactions?
\[
\begin{aligned}
& \mathrm{CaCO}_3 \stackrel{\Delta}{\rightleftharpoons} \mathrm{CO}_2+X \\
& X+\mathrm{H}_2 \mathrm{O} \longrightarrow Y \\
& Y+\mathrm{Cl}_2 \longrightarrow Z \\
& X \quad Y \quad Z
\end{aligned}
\]

The electronic configuration which is associated with highest first ionisation enthalpy is:

The following reaction is a/an
\(\begin{aligned} \mathrm{CH}_3-\mathrm{CH}_2- & \mathrm{CH}_2-\mathrm{Br} \xrightarrow{\mathrm{KOH}} \\ & \mathrm{CH}_3-\mathrm{CH}=\mathrm{CH}_2+\mathrm{KBr}+\mathrm{H}_2 \mathrm{O}\end{aligned}\)

The de-Broglie wavelength of a tennis ball of mass \(60 \mathrm{~g}\) moving with a velocity of \(10 \mathrm{~ms}^{-1}\) is approximately ____ (Planck's constant \(\left.h=6.63 \times 10^{-34} \mathrm{~J} . \mathrm{s}\right)\)

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: \(\Delta_{\mathrm{r}} \mathrm{H}^0\left(\mathrm{~kJ} \mathrm{~mol}^{-1}\right)\)
\[
\begin{array}{ll}
\frac{1}{2} \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{OH}(\mathrm{g}) & 42.09 \\
\mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{g}) & -242 \\
\mathrm{H}_2(\mathrm{~g}) \rightarrow 2 \mathrm{H}(\mathrm{g}) & 436 \\
\mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{O}(\mathrm{g}) & 496
\end{array}
\]

Match the complexes in list-I with their hybridization in list-II.
\(\begin{array}{|l|l|l|l|}\hline & \text{List-I (Complex)} & & \text{List-II (Hybridization)} \\ \hline \text{A.} & \mathrm{Ni}(\mathrm{CO})_4 & I & s p^3 d^2 \\ \hline \text{B.} & {\left[\mathrm{Ni}(\mathrm{CN})_4\right]^{2-}} & II & d^2 s p^3 \\ \hline \text{C.} & {\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}} & III & d s p^2 \\ \hline \text{D.} & {\left[\mathrm{CoF}_6\right]^{3-}} & IV & s p^3 \\ \hline\end{array}\)

If \(f(x)=x^{\operatorname{Sec}^{-1} x}\), then \(f^{\prime}(2)=\)

The energy of a photon in a monochromatic light of wavelength \(621 \mathrm{~nm}\) matches with the band gap of a semiconducting material. Then the minimum energy required to create an electron-hole pair from the semiconductor is
[Take hc \(=1242 \mathrm{eV}-\mathrm{nm}\), where h is Planck's constant and \(\mathrm{c}\) is speed of light in vacuum]

Identify the complex ion with spin only magnetic moment of 4.90 BM .

If \(0.5 \mathrm{~mol}\) of a metal forms hexagonal close packed structure, the total number of voids, and tetrahedral voids respectively in mol are

The circle \(x^2+y^2-4 x-8 y+16=0\) rolls up along the tangent drawn to it at \((2+\sqrt{3}, 3)\) by 2 units. The equation of the circle in the new position is

If a man of height 1.8 mt . is walking away from the foot of a light pole of height 6 mt . with a speed of 7 km per hour on a straight horizontal road opposite to the pole, then the rate of change of the length of his shadow is (in kmph)