Match List-I with List-II

List-I (Types of solutions)	List-II (Examples)
(A) Gas in Gas solution	(I) Oxygen dissolved in water
(B) Gas in Liquid solution	(II) Copper dissolved in gold
(C) Liquid in Solid solution	(III) Mixture of oxygen and nitrogen gases
(D) Solid in Solid solution	(IV) Amalgam of mercury with sodium

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Read the passage carefully and answer the Questions
Molar conductivity \(\left(\Lambda_m\right)\) of a solution at a given concentration (c) is the conductance of volume, V of solution, containing one mole of electrolyte kept between the two electrodes with area of cross-section A and at a distance of unit length. It increases with the decrease in concentration and when the concentration approaches zero, the molar conductivity is called limiting molar conductivity \(\left(\Lambda_m^0\right)\). For a strong electrolyte, \(\Lambda_m\) increases linearly with dilution and is given by \(\Lambda_m=\Lambda_m^0-A c^{1 / 2}\). The value of the constant A for a given solvent depends on the type of electrolyte along with temperature. According to Kohlrausch law, the value of \(\left(\Lambda_m^0\right)\) for an electrolyte is A\(\Lambda_m^0=\nu_{+} \lambda_{+}^0+\nu_{-} \lambda_{-}^0\), where \(\nu_{+}\)and \(\nu_{-}\) are the number of cations and anions, respectively, per molecule of the electrolyte and \(\lambda_{+}^0\) and \(\lambda_{-}^0\) are limiting molar conductivities of cation and anion, respectively. Kohlrausch law
finds many applications, like determining the solubility of a sparingly soluble salt, determining the degree of dissociation\(\left(\Lambda_m / \Lambda_m^0\right)\), and the dissociation constant of a weak electrolyte.
If the equivalent conductivity of 1 M Phthalic acid is \(12.8 S cm ^2 eq ^{-1}\) and the limiting equivalent conductivities of the
hydrogen and Phthalate ions are 42 and \(288.42 S cm ^2 eq ^{-1}\), respectively, the degree of dissociation of Phthalic acid will be :

The increasing order of the melting points of following transition metals is
(A) Fe
(B) Mn
(C) Cr
(D) V
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Match List-I with List-II

List-I (Reagent)	List-II (Characteristic of Compound)
(A) Tollen's Reagent	(I) Aliphatic aldehyde
(B) Iodoform test	(II) Tertiary alcohol
(C) Lucas Reagent	(III) Methyl ketone
(D) Fehling's Reagent	(IV) Aliphatic and aromatic aldehydes

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Replacement of Cl of \(C _6 H _5 Cl\) to give \(C _6 H _5 OH\) occurs only in drastic conditions, but Cl of 2,4-dinitrochlorobenzene is readily replaced. This is because:

Match List I with List II

LIST 1	LIST 2
A. \(Cr ^{3+}\)	I. \(d^3\) configuration
B. \(Mn ^{2+}\)	II. \(d^{10}\) configuration
C. \(Cu ^{+}\)	III. Paramagnetic
D. \(Ti ^{4+}\)	IV. Diamagnetic

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Match List - I with List - II.

List - I (Process)	List - II (Metal)
A. Electrolytic reduction	I. Iron
B. Bessemerization	II. Zinc
C. Smelting	III. Aluminium
D. Reduction from oxide	IV. Copper

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In what ratio should a shopkeeper mix two types of rice, one costing ₹ \(20\) per kg and another costing ₹ \(40\) per kg to get a rice variety costing ₹ \(28\) per kg ?

If 'n' identical resistors, each of value 'R' are first connected in series to a battery of emf 'E' and internal resistance 'R', the current drawn is 'I'. Now if they are connected in parallel, then the current drawn is '5 I'. The value of n is

Read the passage carefully and give the answers to the question :
India was amongst the first countries in the world to initiate action plans and programmes at a national level to attain total reproductive health as a social goal.
These programmes called 'family planning' were initiated in 1951 and were periodically assessed over the past decades. Improved programmes covering wider reproduction-related areas are currently in operation. Creating awareness among the people about various reproduction-related aspects and providing facilities and support for building up a reproductively healthy society are the major tasks under these programmes.
Which of the following is not a Sexually Transmitted Disease?

A integrating factor of the differential equation \(\frac{d y}{d x}+\frac{y}{x}=\frac{1}{x^2}(x>0)\) is equal to

A charged particle accelerated through a potential difference of V volts acquires a speed u. The particle is then made to enter perpendicularly in a uniform magnetic field B. The radius of the circular path followed by the charged particle will be proportional to

Choose the correct order of increasing acidic strength of following compounds:
(A) 3-Nitrophenol
(B) Phenol
(C) Propan-1-ol
(D) 3,5-Dinitrophenol
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