Identify the incorrect statement:

For a reaction \(A \rightarrow C + D\), the initial concentration of \(A\) is \(0.010\ M\).
After \(100\ s\), the concentration of \(A\) is \(0.001\ M\).
The rate constant has numerical value 9.0.
The order of reaction is:

Read the passage carefully and answer the questions:
The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the octahedral complez to yield three orbitals of lower energy, \(t_{2 g}\) set and two orbitals of higher energy, \(e_g\) set. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting and the energy separation is denoted by \(\Delta_0\). Thus energy of the two \(e_g\) orbitals will increase by \((3 / 5) \Delta_0\) and that of three \(t_{2 g}\) will decrease by \((2 / 5) \Delta_0\). The crystal field splitting \(\Delta_{\circ}\) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong fields, in which case the splitting will be large, whereas others produce weak fields and consequently result in small splitting of \(d\) orbitals. Relative magnitude of crystal field splitting energy \(\Delta_{\circ}\) and pairing energy, \(P\) (energy required for electron
pairing in a single orbital) determine the formation of low spin ( \(\Delta_0>P\) ) or high spin ( \(\Delta_0<P\) ) complex. In tetrahedral coordination entity formation, the \(d\)-orbital splitting is inverted and is smaller as compared to the octahedral field splitting. The crystal field theory attributes the colour of the complex to \(d-d\) transition of the electron. The colour of the coordination compounds depends on the crystal field splitting. In the absence of ligand, crystal field splitting does not occur and hence the substance is colourless.
What will be the crystal field splitting energy for tetrahedral \(\left[ CoCl _4\right]^{2-}\) if its value for octahedral \(\left[ CoCl _6\right]^{4-}\) is \(18,000 cm^{-1}\) ?

\(0.1\) M aqueous solution of the following salts were prepared. Their conductivity values were measured at \(25\circ C\). Which of the following will possess least conductivity at \(25\circ C\)?

Which of the following is not a characteristic of a Crystalline solid.

Addition of HCN to carbonyl group results in formation of:

\(0.01\) M aqueous solutions of following salts were prepared. Their conductivity values were measured at \(25°C\). Which of the following will possess highest conductivity at \(25°C\)?

The synthesis of Alkyl fluoride is best carried through :

The projection of the vector \(\vec{a}=\hat{i}+2 \hat{j}-3 \hat{k}\) on the vector \(2 \hat{i}+6 \hat{j}+3 \hat{k}\) is:

Which of the following statements are correct?
A. In a region of free space with electric field E, there is an energy density \( \frac{1}{2}\epsilon_0 E^2 \)
B. An electromagnetic wave contains both electric and magnetic field.
C. Electromagnetic waves do not exert pressure
D. Hertz could not establish the wave nature of radiation.
E. No material medium is required for vibrations of electric field and magnetic field.

The function f defined by \((x)=\left\{\begin{array}{ll}a x+1, & x \leq 3 \\ b x+3, & x>3\end{array}\right.\) is continuous at x = 3 if

If the minimum value of the objective function \(Z=a x+b y\) of an LPP occurs at two points \((3,5)\) and \((5,3)\), then

Match List-I with List-II

List - I (Abbreviation used in reproductive health)	List - II (Features)
(A) IVF	(I) Sperm is directly injected into the ovum
(B) ZIFT	(II) Transfer of ovum from a doner into the fallopian tube of recipient
(C) GIFT	(III) Embryos with more than 8 blastomers is transfered into the uterus
(D) ICSI	(IV) Fertilisation outside the body

Choose the correct answer from the options given below: