Magnetic moment values for \(\left[ Fe \left( H _2 O \right)_6\right]^{3+}\) and \(\left[ Fe ( CN )_6\right]^{3-}\) are .....

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Production of electricity by thermal plants is not very efficient method. It is now possible to make cells in which reactants are fed continuously to the electrodes and products are also removed continuously. One of the most successful fuel cells is hydrogen fuel cell.
In Hydrogen fuel cell, which gas is undergoing oxidation?

Which of the following metals cannot be used to adsorb H2 gas on its surface?

Match List - I with List - II

List - I (Name)	List - II (Use)
(A) Carbon tetrachloride	(I) Pesticide
(B) DDT	(II) Solvent
(C) lodoform	(III) Refrigerant
(D) Freons-12	(IV) Antiseptic

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Identify the given name reaction :
\(R-NH_2+CHCl_3+3 KOH \xrightarrow{\text { Heat }} R-NC+3 KCl+3H_2 O\)

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In the formation of coordination complexes, if the inner \(d\) orbital \((n-1)d\) is used in hybridisation, the complex, is called an inner orbital or low spin or spin paired complex. And if it uses outer \(d\) orbital \((nd)\) in hybridisation (like \(sp^3d^2\)), it is called outer orbital or high spin or spin free complex. The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the complex. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting. For coordination complexes, the magnetic moment is determined by the number of unpaired electrons and is calculated by using the 'spin-only' formula, \(\mu = \sqrt{n(n+2)}\) where \(n\) is the number of unpaired electrons and \(\mu\) is the magnetic moment in units of Bohr magneton \((BM)\). The coordination compounds are of great importance. These compounds are widely present in the mineral, plant and animal worlds and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine.
\([Co(NH_3)_6]^{3+}\) and \([Ni(NH_3)_6]^{2+}\) respectively are

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The accumulation of molecular species at the surface rather than in the bulk of a solid or liquid is termed as adsorption. There are two types of adsorption. In physisorption, attractive forces are mainly Van der Waals while in chemical adsorption adsorbate is held with chemical bonds adsorbent. Adsorption increases with increase in pressure and decreases as temperature is increased.
Which of the following is not characteristic of chemical adsorption?

Match List - I with List - II.

List - I	List - II
(A) Metals	(I) Elements/compounds
(B) Pure semiconductors	(II) Extrinsic semiconductor
(C) Doped semiconductor	(III) Low resistivity
(D) Semiconductors	(IV) Intrinsic semiconductors

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Answer the question on the basis of passage given below :
There are some deposits of nitrates and phosphates in the earth’s crust. Nitrates are more soluble in water. Nitrates are difficult to reduce under laboratory conditions, but microbes do it easily. Ammonia forms a large number of complexes with transition metals. Hybridisation easily explains the ease of sigma donation capability of NH₃ and PH₃. Phosphine is an inflammable gas, prepared from white phosphorus.
Which of the following is the correct statement?
A. Between NH₃ and PH₃, NH₃ is a better electron donor because the lone pair of electrons occupy spherical 's' orbital and is less directional.
B. Between NH₃ and PH₃, NH₃ is a better electron donor because the lone pair of electrons occupies sp³ orbital and is more directional.
C. Between NH₃ & PH₃, PH₃ is a better electron donor because the lone pair of electrons occupies sp² orbital and is more directional.
D. Between NH₃ & PH₃, PH₃ is a better electron donor because the lone pair of electrons occupies 's' orbital and is less directional.
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The value of the determinant \(\left|\begin{array}{cc}a \cos \theta & a \sin \theta \\ -a \sin \theta & a \cos \theta\end{array}\right|\) is:

\(\cos ^{-1}\left(\cos \frac{7 \pi}{6}\right)\) equals:

If \(f(x)=2 x^3-15 x^2+36 x+1, x \in[1,5]\), then the absolute minimum value of \(f(x)\) is:

Which of the following statements are correct about the Compound Annual Growth Rate (CAGR)?
(A) It can be used to compare historical returns on different investment portfolios.
(B) It helps smooth returns when growth rates are expected to be volatile and inconsistent.
(C) It is unable to track the performance of various business measures of one or multiple companies alongside one another.
(D) It can be used to calculate the average growth of a single investment.
Choose the correct answer from the options given below :