The ratio \(x / y\) on completion of the above reaction is \(...........\).

Solid fuel used in rocket is a mixture of \(Fe _2 O _3\) and \(Al\) (in ratio \(1: 2\) ). The heat evolved \(( kJ )\) per gram of the mixture is \(............\). (Neatest integer) Given : \(\Delta H _{ f }^{\ominus}\left( Al _2 O _3\right)=-1700\,kJ\,mol ^{-1}\) \(\Delta H _{ f }^\theta\left( Fe _2 O _3\right)=-840\,kJ\,mol ^{-1}\) Molar mass of \(Fe , Al\) and \(O\) are \(56,27\) and \(16\,g\,mol ^{-1}\) respectively.

The standard reduction potential values of some of the p-block ions are given below. Predict the one with the strongest oxidising capacity.

In Carius method 0.2425 g of an organic compounds gave 0.5253 g silver chloride. The percentage of chlorine in the organic compound is

A volume of \(x mL\) of \(5 M NaHCO _3\) solution was mixed with 10 mL of \(2 M H _2 CO _3\) solution to make an electrolytic buffer. If the same buffer was used in the following electrochemical cell to record a cell potential of 235.3 mV , then the value of \(x =\)__________ mL (nearest integer).
\(Sn ( s )\left| Sn ( OH )_6^{2-}(0.5 M )\right| HSnO _2^{-}(0.05 M ) \mid OH ^{-} \left| Bi _2 O _3(s)\right| Bi ( s )\)
Consider upto one place of decimal for intermediate calculations
\(\left[\begin{array}{ll}\text { Given : } & E _{ HSnO _2^{-} \mid Sn ( OH )_6^{2-}}^{ o }=-0.9 V \\ & E _{ Bi _2 O _3 \mid Bi }^{ o }=-0.44 V \\ & pKa _{\left( H _2 CO _3\right)}=6.11 \\ & \frac{2.303 RT }{ F }=0.059 V \\ &\operatorname{Antilog}(1.29)=19.5\end{array}\right]\)

The conjugate base of hydrazoic acid is

If solubility product of \(Z{r_3}{\left( {P{O_4}} \right)_4}\) is denoted by \(K_{SP}\) and its molar solubility is denoted by \(S\), then which of the following relation between \(S\) and \(K_{SP}\)  is correct?

The efficiency of an ideal heat engine working between the freezing point and boiling point of water, is ........ \(\%\)

Which element is not present in Nessler's reagent?

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

List \(-I\)	List \(-II\)
\(A.\) \(\mathrm{K}_2\left[\mathrm{Ni}(\mathrm{CN})_4\right]\)	\(I.\) \(\mathrm{sp}^3\)
\(B.\) \(\left[\mathrm{Ni}(\mathrm {CO})_4\right]\)	\(II.\) \(\mathrm{sp}^3 \mathrm{~d}^2\)
\(C.\) \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right) _6\right] \mathrm{Cl}_3\)	\(III.\) \(\mathrm{dsp}^2\)
\(D.\) \(\mathrm{Na}_3\left[\mathrm{CoF}_6\right]\)	\(IV.\) \(\mathrm{d}^2 \mathrm{sp}^3\)

Choose the correct answer from the options given below:

Let \(a, b, c\) be the length of three sides of a triangle satisfying the condition \(\left(a^2+b^2\right) x^2-2 b(a+c)\). \(x+\left(b^2+c^2\right)=0\). If the set of all possible values of \(x\) is the interval \((\alpha, \beta)\), then \(12\left(\alpha^2+\beta^2\right)\) is equal to ...........

A Spherical ball of radius \(1 mm\) and density \(10.5 g / cc\) is dropped in glycerine of coefficient of viscosity \(9.8\) poise and density \(1.5 g / cc\). Viscous force on the ball when it attains constant velocity is \(3696 \times 10^{-x} N\). The value of \(x\) is \(\text { (Given, } g =9.8 m / s ^2 \text { and } \pi=\frac{22}{7} \text { ) }\)

The mean and standard deviation of \(20\) observations are found to be \(10\) and \(2\), respectively. On respectively, it was found that an observation by mistake was taken \(8\) instead of \(12\) . The correct standard deviation is