The synthesis of alkyl fluoride is best achieved through

For the following reaction, which is correct statement \(2 H ^{+}( aq )+2 e^{-} \rightarrow H _2(g)\)
under non-standard conditions.

A drop of solution (Volume \(0.05\text{ mL}\)) contains \(3.0 \times 10^{6}\) mole of \(\text{H}^{+}\) ions. If the rate constant of disappearance of \(\text{H}^{+}\) is \(1.0 \times 10^{7}\text{ mol litre}^{-1}\text{ sec}^{-1}\), how long will take \(\text{H}^{+}\) ions to disappear?

What is the product of the following reaction?
\[R-CN \frac{H_2 / Ni}{Na(Hg) / C_2 H_5 OH}\]
The options are:

Which of the complexes give white precipitate when treated with aqueous solution of \(BaCl_2\)?
\(\left[ Co \left( NH _3\right)_5 SO _4\right] Cl\)
\(\left[ Co \left( NH _3\right)_5 Cl \right] SO _4\)
\(\left[ Co \left( NH _3\right)_5\left( NO _2\right)\right]\left( NO _2\right)_2\)
\(\left[ Co \left( NH _3\right)_5 CN \right] SO _4\)
Choose the correct answer from the options given below :

Answer the question on the basis of passage given below :
Nitrogen differs from rest of the members of group 15 due to its small size, high electronegativity, high ionization enthalpy and non-availability of d orbitals. Nitrogen has unique ability to form pa - pa multiple bonds with itself and with other elements having small size and high electronegativity. Heavier elements of this group do not form pa - pr bonds as their atomic orbitals are so large and diffuse that they cannot have effective overlapping.
Group 15 elements forms oxides of type \(E _2 O _3\). Acidic oxides are formed by
A. Bi
B. Sb
C. P
D. As
E. N
Choose the correct answer from the options given below:

Osmotic pressure measurements are less accurate and difficult to carry out. Therefore, this method is not useful for measuring molecular weights. But it is used to find out molecular weights of polymers eg. plastics, proteins and starch having many monomer units. Knowing the value of osmotic pressure of a given solution, molecular weight of the solute can be calculated using Van't Hoff equation.
In a nearly saturated solution, which of the following statements are correct?
A. If dissolution process is endothermic, solubility increases with increase in temperature.
B. If dissolution process is endothermic, solubility decreases with increase in temperature.
C. If dissolution process is exothermic, solubility decreases with increase in temperature.
D. If dissolution process is exothermic, solubility increases with increase in temperature.
Choose the correct answer from the options given below:

If \(f: R \rightarrow R\) is defined by \(f(x)=\left(4-x^2\right)^{1 / 2}\), then\(f o f(x)\) is :

If the two particles of the same mass and same charge are accelerated with a potential difference of 120 V and 480 V respectively, the ratio of de Broglie's wavelengths associated with the two particles respectively is

Which of the following is TRUE for gel electrophoresis ?
(A) It is used to separate DNA fragments.
(B) Separation of DNA occurs on the basis of the fragment size.
(C) Separation of DNA fragments occurs on the basis of charge.
(D) Separated DNA fragments can be visualised without staining.
Choose the correct answer from the options given below:

Read the passage carefully and answer the Questions
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 ( \(n d\) ) in hybridisation (like \(s p^3 d^2\) ), 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.
The CFSE for tetrahedral \(\left[ CoCl _4\right]^{2-}\) is \(8000 cm^{-1}\), the CFSE for octahedral \(\left[ CoCl _6\right]^{4-}\) will be........

A dietician wishes to mix two types of food in such a way that the vitamin contents of the mixture contains atleast 8 units of Vitamin A and 10 units of Vitamin C. Food 'I' contains 2 units/kg of Vitamin A and 1 unit/kg of Vitamin C while food 'II' contains 1 unit/kg of Vitamin A and 2 units/kg of Vitamin C. It costs ₹5 per kg to purchase food I and ₹7 per kg to purchase food II. If 'x' kg of food I is mixed with 'y' kg of food II, then the constraint pertaining to vitamin C contents will be:

If \(f: R \rightarrow A\) given by \(f(x)=x^2-6 x+12\) is a surjective function, then the set \(A\) is :