Among the following, the CORRECT combinations are :
A. \( IF_{3} \) → T-shaped \( (sp^{3}d) \)
B. \( IF_{5} \) → Square pyramidal \( (sp^{3}d^{2}) \)
C. \( IF_{7} \) → Pentagonal bipyramidal \( (sp^{3}d^{3}) \)
D. \( ClO_{4}^{-} \) → Square planar \( (sp^{3}d) \)
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A diatomic molecule has a dipole moment of \(1.2 D\). If the bond distance is \(1 \mathring A\), then fractional charge on each atom is _______ \(\times 10^{-1}\) esu. (Given \(1 \mathrm{D}=10^{-18}\) esu \(\mathrm{cm}\) )

Consider the following elements. Which of the following is/are true about \(\mathrm{A}^{\prime}, \mathrm{B}^{\prime}, \mathrm{C}^{\prime}\) and \(\mathrm{D}^{\prime}\) ? \(A\). Order of atomic radius: \(\mathrm{B}^{\prime}<\mathrm{A}^{\prime}<\mathrm{D}^{\prime}<\mathrm{C}^{\prime}\) \(B\). Order of metallic character: \(\mathrm{B}^{\prime}<\mathrm{A}^{\prime}<\mathrm{D}^{\prime}<\mathrm{C}^{\prime}\) \(C\). Size of the element : \(\mathrm{D}^{\prime}<\mathrm{C}^{\prime}<\mathrm{B}^{\prime}<\mathrm{A}^{\prime}\) \(D\). Order of ionic radius : \(\mathrm{B}^{\prime+}<\mathrm{A}^{\prime+}<\mathrm{D}^{\prime+}<\mathrm{C}^{\prime+}\) Choose the correct answer from the options given below :

Three organic compounds \(A , B\) and \(C\) were allowed to run in thin layer chromatography using hexane and gave the following result (see figure). The \(R_f\) value of the most polar compound is \(............\,\times 10^{-2}\)

From the following, how many compounds contain at least one secondary alcohol ?

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An excess of AgNO\(_3\) is added to \(100\) mL of a \(0.05\) M solution of tetraaquadichloridochromium (III) chloride. The number of moles of AgCl precipitated will be __________ \(\times 10^{-3}\). (Nearest integer)

At \(-20^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\) pressure, a cylinder is filled with equal number of \(\mathrm{H}_2 . \mathrm{I}_2\) and \(\mathrm{HI}\) molecules for the reaction \(\mathrm{H}_2(\mathrm{~g})+\mathrm{I}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})\), the \(\mathrm{K}_{\mathrm{p}}\) for the process is \(\mathrm{x} \times 10^{-1} \cdot \mathrm{x}=\) _______. [Given : \(\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\) ]

Five numbers are in \(A.P.\), whose sum is \(25\) and product is \(2520 .\) If one of these five numbers is \(-\frac{1}{2},\) then the greatest number amongst them is

Let \(f: R \rightarrow R\) be a function defined as \(f(x)=a \sin \left(\frac{\pi[x]}{2}\right)+[2-x], a \in R\), where [t] is the greatest integer less than or equal to \(t\). If \(\lim _{x \rightarrow-1} f(x)\) exists, then the value of \(\int_{0}^{4} f(x) d x\) is equal to.

\(3\, moles\) of metal complex with formula \(\mathrm{Co}(\mathrm{en})_{2} \mathrm{Cl}_{3}\) gives \(3\, moles\) of silver chloride on treatment with excess of silver nitrate. The secondary valency of \(Co\) in the complex is \(.....\) (Round off to the nearest integer)

If \( y=y(x) \) satisfies the differential equation \( 16(\sqrt{x+9\sqrt{x}})(4+\sqrt{9+\sqrt{x}})cos~y~dy=(1+2~sin~y)dx, x>0 \) and \( y(256)=\frac{\pi}{2}, y(49)=\alpha \) then \( 2~sin~\alpha \) is equal to:

Moment of inertia of a cylinder of mass \(M,\) length \(L\) and radius \(R\) about an axis passing through its centre and perpendicular to the axis of the cylinder is \(I = M \left(\frac{ R ^{2}}{4}+\frac{ L ^{2}}{12}\right) .\) If such a cylinder is to be made for a given mass of material, the ratio \(\frac LR\) for it to have minimum possible \(I\) is

The number of distinct real roots of the equation \(x ^{7}-7 x -2=0\) is