Match List I with List II

LIST I	LIST II
A. Mg in solid state	I. p-type Semiconductor
B. \(MgCl _2\) in molten state	II. n-type Semiconductor
C. Silicon with phosphorus	III. Electrolytic Conductor
D. Germanium with boron	IV. Electronic Conductor

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Read the passage carefully and answer the questions
The osmotic pressure is one of the four colligative properties which depends on the number of particles of solute in the solution, irrespective of their nature. The osmotic pressure is equal to the product of concentration, gas constant and temperature. It is the most commonly used property for the determination of the molar mass of biomolecules. In many situations, the molecules get dissociated or associated when they are dissolved in a solvent, thereby changing the number of molecules in the solution. As a result, an abnormal molecular mass is obtained. The extent of dissociation or association is given by van't Hoff factor (i), which is the ratio of normal molar mass to abnormal molar mass. It is related with the degree of association or ionization. The introduction of van't Hoff factor in the osmotic pressure equation modifies the equation.
\[Itext\{Osmotic pressure\} ((Pi) \text\{of a solution does not depend upon\}\}]

Standard reduction electrode potential of four metals A, B, C and D are as follows. The correct order of increasing strength of reducing power is :
(A) Metal A = +0.5 V
(B) Metal B = -3.0 V
(C) Metal C = -1.2 V
(D) Metal D = -2.3 V
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Identify the carbohydrate which is not a polysaccharide

In the metallurgy of Al , purified \(Al _2 O _3\) is mixed with \(Na _3 AlF _6\) or \(CaF _2\). The role of \(Na _3 AlF _6\) or \(CaF _2\) is to:

Arrange the following in increasing order of basic strength in aqueous solution :
(A) \(C _6 H _6 NH _2\)
(B) \(C _2 H _5 NH _2\)
(C) \(\left( C _2 H _6\right)_2 NH\)
(D) \(NH _3\)
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Which of the following statements is incorrect with respect to the use of a catalyst in the reversible reaction?

Choose the correct statements from the following :
(A) A dielectric develops a net dipole moment in the presence of an electric field.
(B) Electrostatic potential is constant throughout the volume of the conductor.
(C) Electric field \( \vec{E} \) depends upon the distance between two thin infinite long uniformly charged plane sheets held parallel to each other.
(D) Electric field due to a uniformly charged spherical shell is zero at all points inside the shell.
(E) Electric field is in the direction in which the potential decreases steepest.

Select the conditions(s) in which decomposition does not takes place in
A. In warm and moist environment
B. In presence of decomposers
C. In absence of decomposers
D. In absence of detritivores
E. In presence of complex compounds like lignin and chitin.
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Match List - I with List - II.

List – I	List – II
(A) Polyvinyl chloride	(I) Phenol formaldehyde
(B) Urea-formaldehyde	(II) Ethyleneglycol and phthalic acid
(C) Glyptal	(III) Vinyl chloride
(D) Bakelite	(IV) Urea-formaldehyde

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If \(y^{\frac{1}{m}}+y^{-\frac{1}{m}}=2 x\), then the value of \(\left(x^2-1\right) \frac{d^2 y}{d x^2}+x \frac{d y}{d x}\) is :

Gauss theorem states that \( \oint \vec{E} \cdot d\vec{s} = 0 \). It means that

AOB is a right angled triangle. Charges \( Q_1 \) and \( Q_2 \) are placed as shown. If the resultant electric field at O is perpendicular to the hypotenuse then \( \frac{Q_1}{Q_2} \) is proportional to :