The cell \(Zn \left| Zn ^{2+}(1 M ) \| Cu ^{2+}(1 M )\right| Cu\) has \(E_{\text {cell }}^{\circ}=1.10 V\).
The cell is allowed to be completely discharged at 298 K .
The relative concentration of \(Zn ^{2+} / Cu ^{2+}\) is:

We have four aqueous solution labelled as :
(A) 0.1 M NaCl
(B) 0.01 M NaCl
(C) \(0.01 M BaCl _2\)
(D) 0.01 M Sucrose
Choose the correct increasing order of Van't Hoff factor from the options given below :

Inversion of cane sugar is a pseudo first order reaction
\(C _{12} H _{22} O _{11}+ H _2 O \xrightarrow{ H ^{+}} C _6 H _{12} O _6+ C _6 H _{12} O _6\)
Choose the correct answer from the options given below:

The quantity of electricity produced in the oxidation of 67.2 L of \(H 2\) at STP is:

Read the passage below and answer the question:
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.
Critical temperature of few gases are given SO2 (630К), СН4 (190K), H₂ (33K). What is the correct order of case of physi-adsorption of these gases?

Match List - I with List - II.

List - I (Magnetic Property)	List - II (Substance)
(A) Ferrimagnetic	(I) MnO
(B) Antiferromagnetic	(II) \(H _2 O\)
(C) Ferromagnetic	(III) \(ZnFe _2 O _4\)
(D) Diamagnetic	(IV) \(CrO _2\)

Choose the correct answer from the options given below:

The properties which depend on the number of solute particles irrespective of their nature relative to the total number of particles in the solution are called colligative properties. These are relative lowering of vapour pressure of the solvent, depression of freesing point of the solvent, elevation of boiling point of the solvent and osmotic pressure of the solution. All of these properties help in calculating the observed molar mass of the solute.
Determination of osmotic pressure is considered best for the determination of molecular mass of the solute.
The binary liquid mixtures which show negative deviation from Raoult's law are :
(A) n-hexane and n-heptone
(B) phenol and acetone
(C) ethanol and acetone
(D) chloroform and acetone
(E) benzene and toluene
Choose the correct answer from the options given below :

The maximum value of \(y=x^3-3 x\) is :

On connecting a device X in a series circuit with a battery and a resistor, a current passes through the circuit. On reversing the polarity of the battery, the current in the circuit drops to almost zero. The device X may be a

If \(P(A) = \frac{3}{10}, P(B) = \frac{2}{5}\) and \(P(A \cup B) = \frac{3}{5}\), then \(P(B|A) + P(A|B)\) is equal to:

Amines are reactive in nature, mainly due to difference in electronegativity between Nitrogen and Hydrogen and, due to lone pair of electrons on Nitrogen. Amines behave like nucleophiles and as good lewis bases and there are various reactions to support this. Different degree of amines differ in their reactivity due to steric hinderance and electronic effects. Aromatic amines are less basic due to + R effect, hence have higher pk value than aliphatic amines. Basic strength of amines also depends on stability of corresponding conjugate acid in aqueous medium.
Conjugate acid of which of the following amines is most stable?

There are two kinds of nucleases - exonucleases and endonucleases. Exonucleases remove nucleotides from the ends of the DNA whereas, endonucleases make cuts at specific positions within the DNA. The cutting of DNA by restriction endonucleases results in the fragments of DNA. These fragments can be separated by a technique known as gel electrophoresis. Since DNA fragments are negatively charged molecules they can be separated by forcing them to move towards the anode under an electric field through a medium/matrix. Small volume cultures cannot yield appreciable quantities of products. To produce in large quantities, the development of bioreactors, where large volumes (100 - 1000 litres) of culture can be processed, was required. Thus, bioreactors can be thought of as vessels in which raw materials are biologically converted into specific products, individual enzymes, etc., using microbial plant, animal or human cells. PCR stands for Polymerase Chain Reaction. In this reaction, multiple copies of the gene (or DNA) of interest are synthesised in vitro using two sets of primers (small chemically synthesised oligonucleotides that are complementary to the regions of DNA) and the enzyme DNA polymerase.
Identify the correct enzyme to release the DNA from the fungal cells.?

A small company manufactures necklaces and bracelets. The combined number of necklaces and bracelets it can handle per day is at the most 24 .A bracelet takes 1 hour to make and a necklace takes half hour to be made.Maximum number of hours available per day is 16 .If the number of necklaces and bracelets made per day is \(x\) and \(y\)
respectively then the time constraint for the L.P.P.is :