A binary ideal solution of AB type has :

Read the passage carefully and answer the questions
Carbohydrates are naturally formed organic compounds from various plants. The common chemical formula, \(C _x\left( H _2 O \right)_y\), was considered as hydrates of carbon to derive the various carbohydrates. For instance, the general formula for glucose ( \(C _6 H _{12} O _6\) ) easily fits into the above formula. Carbohydrates also called saccharides are classified on the basis of their behavior towards hydrolysis. Monosaccharides cannot be hydrolyzed further to simpler units of polyhydroxy aldehyde or ketones. About 20 monosaccharides are known to occur in nature. Carbohydrates that yield large number of monosaccharide units are called polysaccharides. Amino acids contain ( \(- NH _2\) ) and ( - COOH ), which can be classified in various forms. Proteins are polymers of alpha amino acids which are connected to each other by a peptide bond or peptide linkage. When a native protein is subjected to physical change, its globules unfold and helix get uncoiled and the protein loses its biological activity. The protein is said to be denaturated.
The two monosaccharides units are joined together through which linkage ?

The standard reduction potential of \(Ag ^{+} / Ag^{-}\) electrode is \(+0.80 V\)
Choose the correct statement based on this information.

List-I (Reaction Name)	List-II (Reaction)
(A) Carbylamine reaction	(I)
(B) Gatterman Rection	(II)
(C) Sandmeyer reaction	(III)
(D) Hoffmann Bromamide reaction	(IV)

Choose the correct answer from the options given below:

Which of the following is an essential amino acid?

Match List - I with List - II

List - I (Complex)	List - II (Hybridisation)
(A) \([CoF_6]^{3-}\)	(I) \(sp^3\)
(B) \([Co(NH_3)_6]^{3+}\)	(II) \(dsp^2\)
(C) \([NiCl_4]^{2-}\)	(III) \(d^2sp^3\)
(D) \([Ni(CN)_4]^{2-}\)	(IV) \(sp^3d^2\)

Choose the correct answer from the options given below :

Identify " \(Y\) " in the following reaction:

A square coil of side 10 cm, 500 turns and resistance 3 \(\Omega\) is placed with its plane perpendicular to the horizontal component of the Earth's magnetic field. It is rotated about vertical axis passing through centre by 180° in 0.25 second. Estimate the magnitude of the emf and current induced in the coil. Horizontal component of the Earth's magnetic field at the place is 3.0 \(\times 10^{-5}\) T.

For the objective function \(z=p x+q y\), where \(p, q>0\) the corner points of the feasible region determined by the system of linear constraints are \((0,10),(5,5),(15,15)\) and \((0,20)\), condition on \(p\) and \(q\) so that maximum of \(z\) occurs at both the points \((15,15)\) and \((0,20)\) is :

Match List-l with List-ll

List-l (Aspect)	List-II (Explanation)
(A) Productivity	(I) Photosynthetically active radiation
(B) Nutrient Cycling	(II) Breakdown of organic matter
(C) Energy Flow	(III) Rate of biomass production
(D) Decomposition	(IV) Sedimentary

Choose the correct answer from the options given below:

For the function \(f(x)=x^x, x>0\), which of the following are TRUE?
(A) \(f^{\prime}(x)=x^x(1+\log x)\)
(B) \(x=e\) is the critical point
(C) \(f\) is increasing in \(\left(\frac{1}{e}, \infty\right)\)
(D) \(f\) is increasing in \((0, \infty)\)
Choose the correct answer from the options given below :

Match List-I with List-II

List-I	List-II
(A) Intrinsic semiconductor	(I) Number of conduction electrons >> number of holes
(B) n-type semiconductor	(II) Number of conduction electrons << number of holes
(C) p-type semiconductor	(III) Net current is zero
(D) p-n junction under equilibrium	(IV) Number of conduction electrons = number of holes

Choose the correct answer from the options given below:

A small standing crop of phytoplankton supports a large standing crop of zooplankton. This can be correctly represented by: