Which of the following oxides is most basic?

Which among the following is not a broad spectrum antibiotic?

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.
When osmatic pressure and temperature for two solutions are same, equal volumes of solutions would contain same number of:

Which of the following complexes will show absorbance of light at the lowest wavelength?

Choose the incorrect statement about ethylenediaminetetraacetate ion.

Arrange the following acids in increasing order of their acidic strengths: \(HCOOH , FCH _2 COOH , NO _2 CH _2 COOH , ClCH _2 COOH\)

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 \(\Lambda_m^0\) for an electrolyte is \(\Lambda_m^0=\nu_{+} \lambda_{+}^0+\nu_{-} \lambda_{-}^0\), 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.
The plot between \(\Lambda_m\) and \(c^{1 / 2}\) is a straight line with

Match List I with List - II. -

List - l	List - II
(A) Francis Crick	(l) DNA is the genetic material
(B) Watson and Crick	(II) Transforming principle
(C) Hershey and Chase	(III) Central dogma in molecular biology
(D) Frederick Griffith	(IV) Double helical structure of DNA

Choose the correct answer from the options given below:

Match List-I with List-II

List-I (Differential Equation)	List-II (Integrating Factor)
(A) \(\frac{d y}{d x}+2 x y=1\)	(I) \(x\)
(B) \(x \frac{d y}{d x}+2 x y=1\)	(II) \(e^{2 x}\)
(C) \(x \frac{d y}{d x}+y=1\)	(III) \(x^2\)
(D) \(x \frac{d y}{d x}+2 y=2\)	(IV) \(e^{x^2}\)

Choose the correct answer from the options given below :

Let \(\vec{a}=3 \hat{i}+\hat{j}-4 \hat{k}\) and \(\vec{b}=6 \hat{i}+5 \hat{j}-2 \hat{k}\) be two vectors.
Then a vector perpendicular to both \(\vec{a}\) and \(\vec{b}\) with magnitude 3 units is :

Integrating factor of the differential equation \(x \frac{d y}{d x}-y=3 x^2\) is:

Question based on the following passage :
P-Block elements are placed in group 13 to 18 in the periodic table. Group 15 is nitrogen family.
Nitrogen can react with hydrogen, oxygen, halogens etc. It shows multiple oxidation states in its various oxides i.e. \(N_2O, N_2O_3, N_2O_5\) etc. Important allotropic forms of phosphorus are white, red and black phosporus. Various compounds of phosphorus are phosphine, \(PCl_3, PCl_5\) and oxoacids of phosphorus. Oxidation states \(+1\) to \(+5\) are seen in various oxoacids of phosphorus. Group 17 elements are collectively known as halogens. Bond dissociation enthalpy of \(F_2\) is smaller than \(Cl_2\).
The gases present in group 18 are chemically unreactive, they form only few compounds. Neil Bartlett (in 1962) observed the reaction of a noble gas. Since then, many noble gas compounds have been synthesised.
The process used for the preparation of Oleum is :

The corner points of the bounded feasible region for a linear programming problem (LPP) are \(\left(0, \frac{3}{2}\right),(1,2)\) and \((4,0)\).
If the objective function is \(Z=a x+b y\), where \(a\) and \(b\) are positive,
then the condition on \(a\) and \(b\) so that the maximum of \(Z\) occurs at \((1,2)\) and \((4,0)\) is :