Solubility of calcrum phosphate (molecular mass, M) in water is \(\mathrm{W}_{\mathrm{g}}\) per \(100 \mathrm{~mL}\) at \(25^{\circ} \mathrm{C}\). Its solubility product at \(25^{\circ} \mathrm{C}\) will beapproximately.

The number of ions from the following that are expected to behave as oxidising agent is _______. \(\mathrm{Sn}^{4+}, \mathrm{Sn}^{2+}, \mathrm{Pb}^{2+}, \mathrm{Tl}^{3+}, \mathrm{Pb}^{4+}, \mathrm{Tl}^{+}\)

At \(363\,K ,\) the vapour pressure of \(A\) is \(21 \,kPa\) and that of \(B\) is \(18\, kPa\). One mole of \(A\) and \(2\) moles of \(B\) are mixed. Assuming that this solution is ideal, the vapour pressure of the mixture is ....... \(kPa\). (Round of to the Nearest Integer).

What is the ratio of wave number of first line (lowest energy line) of Balmer series of H atomic spectrum to first line of its Brackett series?

Consider the following reactions. From these reactions which reaction will give carboxylic acid
as a major product ?
(A) \(\mathrm{R}-\mathrm{C} \equiv \mathrm{N} \xrightarrow[\text { mild condition }]{\text { (i) } \mathrm{H}^{+} / \mathrm{H}_2 \mathrm{O}}\)
(B) \(\mathrm{R}-\mathrm{MgX} \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{CO}_2}\)
(C) \(\mathrm{R}-\mathrm{C} \equiv \mathrm{N} \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{SnCl}_2 / \mathrm{HCl}}\)
(D) \(\mathrm{R} \cdot \mathrm{CH}_2 \cdot \mathrm{OH} \xrightarrow{\mathrm{PCC}}\)
(E)

Choose the correct answer from the options given below:

The magnetic moment of the complex anion \([Cr(NO) (NH_3) (CN)_4]^{2-}\) is ........... \(B.M.\)

The correct pair(s) of the ambident nucleophiles is (are): \((A)\) \(AgCN / KCN\) \((B)\) \(RCOOAg / RCOOK\) \((C)\) \(AgNO _{2} / KNO _{2}\) \((D)\) \(AgI / KI\)

A mixture of \(100\, m\, mol\) of \(Ca(OH)_2\) and \(2\, g\) of sodium sulphate was dissolved in water and the volume was made upto \(100\, mL\). The mass of calcium sulphate formed and the concentration of \(OH^-\) in resulting solution, respectively are  (Molar mass of \(Ca(OH)_2, Na_2SO_4\) and \(CaSO_4\) are \(74, 143\) and \(136\, g\, mol^{-1}\) respectively; \(K_{sp}\) of \(Ca(OH)_2\) is \(5.5 \times 10^{-6}\))

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

List - \(I\)	List - \(II\)
\((A)\) A force thatrestores anelastic body of unit area to its original state	\((I)\) Bulkmodulus
\((B)\) Two equal andopposite forcesparallel toopposite faces	\((II)\) Young'smodulus
\((C)\) Forcesperpendiculareverywhere tothe surface perunit area same every where	\((III)\) Stress
\((D)\) Two equal andopposite forceperpendicular toopposite faces	\((IV)\) Shearmodulus

Choose the correct answer from the options given below:

At \( 27^{\circ}C \) in presence of a catalyst, activation energy of a reaction is lowered by 10 kJ \( mol^{-1} \). The logarithm ratio of \( \frac{k(catalysed)}{k(uncatalysed)} \) is ....
(Consider that the frequency factor for both the reactions is same)

An electromagnetic wave travelling in \(x\)-direction is described by field equation \(E_y = 300\sin\omega\left(t - \dfrac{x}{c}\right)\). If the electron is restricted to move in \(y\)-direction only with speed of \(1.5 \times 10^6\) m/s then ratio of maximum electric and magnetic forces acting on the electron is _______.

For a reaction scheme. \(A\xrightarrow{{{k_1}}}B\xrightarrow{{{k_2}}}C\) if the rate of formation of \(B\) is set to be zero then the concentration of \(B\) is given by

Let the tangents at the points \(P\) and \(Q\) on the ellipse \(\frac{x^{2}}{2}+\frac{y^{2}}{4}=1\) meet at the point \(R(\sqrt{2}, 2 \sqrt{2}-2)\). If \(S\) is the focus of the ellipse on its negative major axis, then \(SP ^{2}+ SQ ^{2}\) is equal to.