Rate law for a reaction between A and B is given by
\(\mathrm{R}=\mathrm{k}[\mathrm{~A}]^{\mathrm{n}}[\mathrm{~B}]^{\mathrm{m}}\)
If concentration of A is doubled and concentration of \(B\) is halved from their initial value, the ratio of new rate of reaction to the initial rate of reaction \(\left(\frac{r_2}{r_1}\right)\) is

The correct statement amongst the following is :

Number of amine compounds from the following giving solids which are soluble in \(\mathrm{NaOH}\) upon reaction with Hinsberg's reagent is _______.

Compound \(A\) gives \(D-\)Galactose and \(D-\)Glucose on hydrolysis. The compound \(A\) is:

The depression in freezing point observed for a formic acid solution of concentration \(0.5\,mL\,L ^{-1}\) is \(0.0405^{\circ}\,C\). Density of formic acid is \(1.05\,g\,mL ^{-1}\). The Van't Hoff factor of the formic acid solution is nearly: (Given for water \(k _{ f }=1.86\,K\,kg\,mol ^{-1}\) )

The spin-only magnetic moment value of \(M ^{3+}\) ion (in gaseous state) from the pairs \(Cr ^{3+} / Cr ^{2+}\), \(Mn ^{3+} / Mn ^{2}, Fe ^{3+} / Fe ^{2+}\) and \(Co ^{3+} / Co ^{2+}\) that has negative standard electrode potential, is \(B.M...........\) [Nearest integer]

The correct statement \((s)\) among \(I\) to \(III\) with respect to potassium ions that are abundant within the cell fluids is/are : \(I.\) They activate many enzymes \(II.\) They participate in the oxidation of glucose to produce \(ATP\) \(III.\) Along with sodium ions, they are responsible for the transmission of nerve signals

\(\)f(x)=\left| {\begin{array}{*{20}{c}} {{{\sin }^2}x}&{ - 2 + {{\cos }^2}x}&{\cos 2x} \\ {2 + {{\sin }^2}x}&{{{\cos }^2}x}&{\cos 2x} \\ {{{\sin }^2}x}&{{{\cos }^2}x}&{1 + \cos 2x} \end{array}} \right| ,x \in[0, \pi]\(\) Then the maximum value of \(f(x)\) is equal to \(.....\)

Let a unit vector \(\hat{\mathrm{u}}=\mathrm{x} \hat{\mathrm{i}}+\mathrm{y} \hat{\mathrm{j}}+\mathrm{z} \hat{\mathrm{k}}\) make angles \(\frac{\pi}{2}, \frac{\pi}{3}\) and \(\frac{2 \pi}{3}\) with the vectors \(\frac{1}{\sqrt{2}} \hat{\mathrm{i}}+\frac{1}{\sqrt{2}} \hat{\mathrm{k}}, \frac{1}{\sqrt{2}} \hat{\mathrm{j}}+\frac{1}{\sqrt{2}} \hat{\mathrm{k}}\) and \(\frac{1}{\sqrt{2}} \hat{\mathrm{i}}+\frac{1}{\sqrt{2}} \hat{\mathrm{j}}\) respectively. If \(\overrightarrow{\mathrm{v}}=\frac{1}{\sqrt{2}} \hat{\mathrm{i}}+\frac{1}{\sqrt{2}} \hat{\mathrm{j}}+\frac{1}{\sqrt{2}} \hat{\mathrm{k}}\), then \(|\hat{\mathrm{u}}-\overrightarrow{\mathrm{v}}|^2\) is equal to

Total number of acidic oxides among \(N _2 O _3, NO _2, N _2 O , Cl _2 O _7, SO _2, CO , CaO , Na _2 O\) and \(NO\) is \(...........\)

Let \(S = \{\lambda ,\mu \} \in R \times R:f\left( t \right) = \left( {\left| \lambda  \right|{e^{\left| t \right|}} - \mu } \right)\). \(\sin \left( {2\left| t \right|} \right),t \in R\) , is a differentiable function\(\}\) . Then \(S\) is a subest of?

The coordination geometry around the manganese in decacarbonyldimanganese\((0)\) :

The length of the projection of the line segment joining the point  \(\left( {5, - 1,4} \right)\) and \(\left( {4, - 1,3} \right)\) on the plane \(x + y + z = 7\) is :