Given below are two statements: Statement \(I\): Tropolone is an aromatic compound and has \(8 \pi\) electrons. Statement \(II\): \(\pi\) electrons of \( > C = O\) group in tropolone is involved in aromaticity. In the light of the above statements, choose the correct answer from the options given below:

Which of the following conversions involves change in both shape and hybridisation?

Given below are two statements one is labelled as Assertion \(A\) and the other is labelled as Reason \(R:\) Assertion \(A :\) The amphoteric nature of water is explained by using Lewis acid/base concept. Reason \(R\) : Water acts as an acid with \(NH _{3}\) and as a base with \(H _{2} S\). In the light of the above statements choose the correct answer from the options given below :

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

Given below are two statements :
Statement (I): Experimentally determined oxygen-oxygen bond lengths in the \(\mathrm{O}_3\) are found to be same and the bond length is greater than that of a \(\mathrm{O}=\mathrm{O}\) (double bond) but less than that of a single \((O-O)\) bond.
Statement (II) : The strong lone pair-lone pair repulsion between oxygen atoms is solely responsible for the fact that the bond length in ozone is smaller than that of a double bond \((\mathrm{O}=\mathrm{O})\) but more than that of a single bond \((\mathrm{O}-\mathrm{O})\).
In the light of the above statements, choose the correct answer from the options given below :

The correct order of the number of unpaired electrons in the given complexes is \(A.\) \(\left[ Fe ( CN )_6\right]^{3-}\);\(B.\) \(\left[ FeF _6\right]^{3-}\); \(C.\) \(\left[ CoF _6\right]^{3-}\); \(D.\) \(\left[ Cr (\text { oxalate })_3\right]^{3-}\); \(E.\) \(\left[ Ni ( CO )_4\right]\) Choose the correct answer from the options given below:

Which of the following is correct order of ligand field strength?

If \(a_n\) is the greatest term in the sequence \(a _{ n }=\frac{ n ^3}{ n ^4+147}, n =1,2,3 \ldots \ldots\). , then \(\alpha\) is equal to \(..........\).

Let \(a, b, c\) and \(d\) be non-zero numbers. If the point of intersection of the lines \(4ax + 2ay + c = 0\) and \(5bx + 2by + d =0\) lies in the fourth quadrant and is equidistant from the two axes then 

Which of the following complex is homoleptic?

A metallic rod oflength '\(l\)' is tied to a string oflength \(2l\). and made to rotate with angular speed w on a horizontal table with one end of the string fixed. Ifthere is a vertical magnetic field '\(B\)' in the region, the \(e.m.f.\) induced across the ends of the rod is

Let chord PQ of length \(3\sqrt{13}\) of the parabola \(y^2 = 12x\) be such that the ordinates of points \(P\) and \(Q\) are in the ratio \(1:2\). If the chord PQ subtends an angle \(\alpha\) at the focus of the parabola, then \(\sin\alpha\) is equal to:

Experimentally it is found that \(12.8\,eV\) energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius of the electron in a hydrogen atom is \(\frac{9}{ x } \times 10^{-10}\,m\). The value of the \(x\) is \(\left(1\,eV =1.6 \times 10^{-19}\,J , \frac{1}{4 \pi \epsilon_0}=9 \times 10^9\,Nm ^2 / C ^2\right.\) and electronic charge \(=1.6 \times 10^{-19}\,J\,C\) )