The correct order of first \((\Delta_i H_1)\) and second \((\Delta_i H_2)\) ionisation enthalpy values of Cr and Mn are :
A. \(\Delta_i H_1 :\) Cr \(>\) Mn
B. \(\Delta_i H_2 :\) Cr \(>\) Mn
C. \(\Delta_i H_1 :\) Mn \(>\) Cr
D. \(\Delta_i H_2 :\) Mn \(>\) Cr
Choose the correct answer from the options given below :

In Wilkinson's catalyst, the hybridization of central metal ion and its shape are respectively

Given  \(E_{\frac{1}{2}Cl_2/Cl^- }^o = 1.36\,V\,,\,E_{C{r^{3 + }}/Cr}^o =  - 0.74\,V\)  \(E_{C{r_2}O_7^{2 - }/C{r^{3 + }}}^o = 1.33\,V\,,\,E_{MnO_4^ - /M{n^{2 + }}}^o = 1.51\,V\)  The correct order of reducing power of the species \((Cr, Cr^{3+}, Mn^{2+}\) and \(Cl^-)\) will be

If \(279 \mathrm{~g}\) of aniline is reacted with one equivalent of benzenediazonium chloride, the mximum amount of aniline yellow formed will be _______ \(g\). (nearest integer) (consider complete conversion)

Among the statements \((a)-(d)\), the incorrect ones are \((a)\) Octahedral \(Co(III)\) complexes with strong field ligands have very high magnetic moments \((b)\) When \(\Delta_{0}< P\), the \(d-\)electron configuration of \(Co(III)\) in an octahedral complex is \(t_{\text {eg }}^{4} e_{g}^{2}\) \((c)\) Wavelength of light absorbed by \(\left[\mathrm{Co}(\mathrm{en})_{3}\right]^{3+}\) is lower than that of \(\left[\mathrm{CoF}_{6}\right]^{3-}\) \((d)\) If the \(\Delta_{0}\) for an octahedral complex of \(\mathrm{Co}(\mathrm{III})\) is \(18,000 \;\mathrm{cm}^{-1},\) the \(\Delta_{\mathrm{t}}\) for its tetrahedral complex with the same ligand will be \(16,000\;\mathrm{cm}^{-1}\)

Match List\(-I\) with List\(-II\) : Choose the correct answer from the options given below:

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

List \(-I\)  (Atomic Number)	List \(-II\) (Block of periodic table)
\(A\) \(37\)	\(I\) \(p-\)block
\(B\) \(78\)	\(II\) \(d-\)block
\(C\) \(52\)	\(III\) \(f-\)block
\(D\) \(65\)	\(IV\) \(s-\)block

નીચે આપેલા વિકલ્પોમાંથી યોગ્ય ઉત્તરની પસંદગી કરો.

Let \(z _{1}\) and \(z _{2}\) be two complex numbers such that \(\overline{ z }_{1}=i \overline{ z }_{2}\) and \(\arg \left(\frac{ z _{1}}{\overline{ z }_{2}}\right)=\pi\). Then

If the area of the region \(S=\left\{(x, y): 2 y-y^2 \leq x^2 \leq 2 y, x \geq y\right\}\) is equal to \(\frac{ n +2}{ n +1}-\frac{\pi}{ n -1}\), then the natural number \(n\) is equal to \(...............\).

A homogeneous solid cylindrical roller of radius \(R\) and mass \(M\) is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is

A potentiometer \(PQ\) is set up to compare two resistances as shown in the figure. The ameter \(A\) in the circuit reads \(1.0\, A\) when two way key \(K_3\) is open. The balance point is at a length \(l_1\, cm\) from \(P\) when two way key \(K_3\) is plugged in between \(2\) and \(1\) , while the balance point is at a length \(l_2\, cm\) from \(P\) when key \(K_3\) is plugged in between \(3\) and \(1\) . The ratio of two resistances \(\frac{{{R_1}}}{{{R_2}}}\) is found to be

Let \({S_k} = \frac{{1 + 2 + 3 + .... + k}}{k}\). If \(S_1^2 + S_2^2 + ....... + S_{10}^2 = \frac{5}{{12}}A\), then \(A\) equal to

Consider two satellites \(S_{1}\) and \(S_{2}\) with periods of revolution \(1\, hr\). and \(8\, hr\). respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite \(S_{1}\) to the angular velocity of satellites \(S _{2}\) is