A compound is formed by two elements P and Q. The element Q forms ccp and atoms P occupy \(1/3^{rd}\) of tetrahedral voids. What is the formula of the compound ?

A binary ideal solution of AB type has :

For a reaction
\(2A + B_{2} \rightarrow 2A_{2}B\)
The reactant A will be consumed at:

20 g of binary electrolyte (Molecular mass = 100) are dissolved in 500 g of water. The freezing point of the solution is -0.74°C and \(K_f \) is 1.86 K kg mol⁻¹. The degree of ionisation of the electrolyte is:

Arrange the following amines in the order of decreasing basic character in gaseous phase:
(A) \(\text{NH}_3\)
(B) \((\text{CH}_3)_3\text{N}\)
(C) \((\text{CH}_3)_2\text{NH}\)
(D) \(\text{CH}_3\text{NH}_2\)
Choose the correct answer from the options given below:

A first order reaction is found to have rate constant \(k=3.0 \times 10^{-1} \mathrm{~s}^{-1}\). The half-life of the reaction will be:

Match the properties given in List-I with the metals given in List-II

List-I (Property)	List-II (Metal)
(A) 3d series element with highest melting point	(I) Os
(B) element which can show +8 oxidation state	(II) Fe
(C) 3d series element with largest number of oxidation states	(III) Cr
(D) constituent of Mischmetall	(IV) Mn

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The association of Glomus with roots of higher plants is known as ___________ .

The mathematical expression that represents the Exponential growth in a population is:

The value of \(\int_{-3}^2 x^2|2 x| d x\) is:

Answer the question on the basis of passage given below:
Second period elements of p-Block differs from the rest of their group members due to their small atomic size, high electronegativity, high ionization enthalpy and absence of d-orbitals. The elements from the second period like C, N, O have unique property of forming \(p \pi-p \pi\) multiple bonds whereas other heavier elements of p-block form \(d \pi-p \pi\) multiple bonds. This changes the properties of second period elements to great extent. Also the single bond strength of the p-block elements with their own atoms gets affected by their atomic size and presence of lone pairs.
Inert pair effect also affects the properties of the p-Block elements especially for those elements which are present from 4th period onward and this happens due to poor screening effect of inner (n-1)d subshell electrons.
\(\text{N}_2\) is a gas wherein \(\text{P}_4\) is a solid, because -

Let the matrix \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 4\end{array}\right]\). Then which of the following are true?
(A) \(\operatorname{adj} A =\left[\begin{array}{cc}4 & -3 \\ -1 & 2\end{array}\right]\)
(B) \(\operatorname{det}( A )=5\)
(C) \(\operatorname{det}(\operatorname{adj} A )=25\)
(D) If \(A^3=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]\), then \(a+b=c+d\)
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The forbidden energy gap for Si is