In which of the following complexes the CFSE, \(\Delta_{\mathrm{o}}\) will be equal to zero?

The incorrect statement from the following with respect to carbohydrates is:

Which one amongst the following are good oxidizing agents? \(A.\) \(Sm ^{2+}\)    \(B.\) \(Ce ^{2+}\)   \(C.\) \(Ce ^{4+}\)    \(D.\) \(Tb ^{4+}\) Choose the most appropriate answer from the options given below :

\(1\, L\) aqueous solution of \(H _{2} SO _{4}\) contains \(0.02\, m\) mol \(H _{2} SO _{4} .50\, \%\) of this solution is diluted with deionized water to give \(1\, L\) solution \((A).\) In solution \((A)\), \(0.01\, m \,mol\) of \(H _{2} SO _{4}\) are added. Total \(m\) \(mols\) of \(H _{2} SO _{4}\) in the final solution is \(......\times 10^{3}\, m\, mols.\)

When the excited electron of a \(H\) atom from \(n =5\) drops to the ground state, the maximum number of emission lines observed are\(.......\)

For the following reactions \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{Br}+\mathrm{Z}^{-}\)\(\xrightarrow[{{\text{Sublimation}}}]{{{k_s}}} \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{Z}+\mathrm{Br}^{-}\) \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{Br}+\mathrm{Z}^{-}\)\(\xrightarrow[{{\text{elimination}}}]{{{k_e}}}\mathrm{CH}_{3} \mathrm{CH}= \mathrm{CH}_{2} +\mathrm{HZ}+\mathrm{Br}^{-}\) where  \(\mathrm{Z}^{-}=\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{O}^{-}(\mathrm{A})\) or \(\begin{array}{*{20}{c}}
  {\,C{H_3}} \\ 
  {|\,\,\,\,\,} \\ 
  {C{H_3} - C - {O^ - }(B)} \\ 
  {|\,\,\,\,} \\ 
  {\,\,C{H_3}} 
\end{array}\) \(\mathrm{k}_{\mathrm{s}}\) and \(\mathrm{k}_{\mathrm{e}},\) are \(,\) respectively, the rate constants for the substitution and elimination, and \(\mu=\frac{\mathrm{k}_{\mathrm{s}}}{\mathrm{k}_{\mathrm{e}}},\) the correct options is

Given below are two statements Statement \(-I :\) Retardation factor \(\left( R _{ f }\right)\) can be measured in meter/centimeter. Statement \(-II :\) \(R _{ f }\) value of a compound remains constant in all solvents. Choose the most appropriate answer from the options given below

Which of the following will NOT be observed when a multimeter (operating in resistance measuring mode) probes connected across a component, are just reversed?

The value of \(k\) for which the function \(f\left( x \right) = \left\{ \begin{gathered} {\left( {\frac{4}{5}} \right)^{\frac{{\tan \,4x}}{{\tan \,5x}}}},\,\,\,\,0 < x < \frac{\pi }{2} \hfill \\  k + \frac{2}{5}\,\,\,,\,\,\,\,\,\,\,\,\,\,\,x = \frac{\pi }{2} \hfill \\ \end{gathered}  \right.\) is continuous at  \(x\,= \frac{\pi}{2}\) is

The position of the centre of mass of a uniform semi-circular wire of radius \('R'\) placed in \(x-y\) plane with its centre at the origin and the line joining its ends as \(x\)-axis is given by \(\left(0, \frac{x R}{\pi}\right)\). Then, the value of \(|x|\) is ...... .

Identify the correct statements from the following
A. \([Fe(C_2O_4)_3]^{3-}\) is the most stable complex among \([Fe(OH)_6]^{3-}\), \([Fe(C_2O_4)_3]^{3-}\) and \([Fe(SCN)_6]^{3-}\)
B. The stability of \([Cu(NH_3)_4]^{2+}\) is greater than that of \([Cu(en)_2]^{2+}\)
C. The hybridization of Fe in \(K_4[Fe(CN)_6]\) is \(d^2sp^3\)
D. \([Fe(NO_2)_3Cl_3]^{3-}\) exhibits linkage isomerism
E. \(NO_2^-\) and \(SCN^-\) ligands are NOT ambidentate ligands
Choose the correct answer from the options given below :

The incorrect statement about Glucose is _______.

Let the function,
\(f(x)= \begin{cases}-3 a x^2-2, & x \lt 1 \\ a^2+b x, & x \geqslant 1\end{cases}\)
be differentiable for all \(x \in \mathbf{R}\), where \(\mathbf{a}\gt1, \mathbf{b} \in \mathbf{R}\). If the area of the region enclosed by \(y=f(x)\) and the line \(y=-20\) is \(\alpha+\beta \sqrt{3}, \alpha, \beta \in Z\), then the value of \(\alpha+\beta\) is ________