Match List \(I\) with List \(II\) :

LIST \(I\) (Compound / Species)	LIST \(II\) (Shape / Geometry)
\((A)\) \(\mathrm{SF}_4\)	\((I)\) Tetrahedral
\((B)\) \(\mathrm{BrF}_3\)	\((II)\) Pyramidal
\((C)\) \(\mathrm{BrO}_3^{-}\)	\((III)\) See saw
\((D)\) \(\mathrm{NH}_4^{+}\)	\((IV)\) Bent \(T\)-shape

Choose the correct answer from the options given below :

Two statements are given below: Statement \(I:\) The melting point of monocarboxylic acid with even number of carbon atoms is higher than that of with odd number of carbon atoms acid immediately below and above it in the series. Statement \(II :\) The solubility of monocarboxylic acids in water decreases with increase in molar mass. Choose the most appropriate option

The number of optical isomers exhibited by the iron complex (A) obtained from the following reaction is ________.
\(\mathrm{FeCl}_3+\mathrm{KOH}+\mathrm{H}_2 \mathrm{C}_2 \mathrm{O}_4 \rightarrow \mathrm{~A}\)

Consider the following cases of standard enthalpy of reaction \(\left(\Delta \mathrm{H}_{\mathrm{r}}^{\circ}\right.\) in \(\left.\mathrm{kJ} \mathrm{mol}{ }^{-1}\right)\)
\(\mathrm{C}_2 \mathrm{H}_6(\mathrm{~g})+\frac{7}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{CO}_2(\mathrm{~g})+3 \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \Delta \mathrm{H}_1^{\circ}=-1550 \)
\( \mathrm{C} \text { (graphite) }+\mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{CO}_2(\mathrm{~g}) \quad \Delta \mathrm{H}_2^{\circ}=-393.5 \)
\( \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \quad \Delta \mathrm{H}_3^{\circ}=-286\)
The magnitude of \(\Delta \mathrm{H}_{f \mathrm{C}_2 \mathrm{H}_6(\mathrm{~g})}^{\circ}\) is _______ \(\mathrm{kJ} \mathrm{mol}{ }^{-1}\) (Nearest integer).

Which of the following options are correct for the reaction \(2\left[ Au ( CN )_2\right]_{( aq )}^{-}+ Zn ( s ) \rightarrow 2 Au ( s )+\left[ Zn ( CN )_4\right]_{( aq )}^{2-}\) \(A.\) Redox reaction \(B.\) Displacement reaction \(C.\) Decomposition reaction \(D.\) Combination reaction Choose the correct answer from the options given below:

The equilibrium constant for the reaction \(\mathrm{SO}_3(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g})\) is \(\mathrm{K}_{\mathrm{C}}=4.9 \times 10^{-2}\). The value of \(\mathrm{K}_{\mathrm{C}}\) for the reaction given below is \(2 \mathrm{SO}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{SO}_3(\mathrm{~g})\) is _______.

Match \(List-I\) with \(List-II\)

\(List-I\)	\(List-II\)
\(A\) \(Ni ( CO )_{4}\)	\(I\) \(sp ^{3}\)
\(B\) \({\left[ Ni ( CN )_{4}\right]^{2-} }\)	\(II\) \(S p^{3} d^{2}\)
\(C\) \({\left[ Co ( CN )_{6}\right]^{3-} }\)	\(III\) \({d^{2}}\)
\(D\) \({\left[ CoF _{6}\right]^{3-} }\)	\(IV\)  \({s p^{3}}{d s p^{2}}\)

Choose the correct answer from the options given below.

Let \(y=y(x)\) be the solution of the differential equation \(\cos x\left(\log _{ e }(\cos x)\right)^2 dy +\) \((\sin x~-\) \(3 y \sin x\) \(\log _{ e }(\cos x)) d x=\) \(0, x \in\left(0, \frac{\pi}{2}\right)\). If \(y\left(\frac{\pi}{4}\right)=\frac{-1}{\log _{ e } 2},\) then \(y\left(\frac{\pi}{6}\right)\) is equal to :

 Match List\(-I\) with List\(-II\)

List\(-I\)	List\(-II\)
\((A)\) Chloroform and Aniline	\((I)\) Steam distillation
\((B)\) Benzoic acid and Napthalene	\((II)\) Sublimation
\((C)\) Water and Aniline	\((III)\) Distillation
\((D)\) Napthalene and Sodium chloride	\((IV)\) Crystallisation

Assuming that the degree of hydrolysis is small, the \(pH\) of \(0.1\, M\) solution of sodium acetate \((K_a\, = 1.0\times10^{- 5})\) will be

A guitar string of length \(90\,cm\) vibrates with a fundamental frequency of \(120\,Hz.\) The length of the string producing a fundamental frequency of \(180\,Hz\) will be \(...........cm\).

Let \(\vec{a}=\alpha \hat{i}+\hat{j}-\hat{k}\) and \(\vec{b}=2 \hat{i}+\hat{j}-\alpha \hat{k}, \alpha>0\). If the projection of \(\vec{a} \times \vec{b}\) on the vector \(-\hat{i}+2 \hat{j}-2 \hat{k}\) is \(30 ,\) then \(\alpha\) is equal to

The basic structural unit of feldspar, zeolites, mica and asbestos is