List of practice Questions

If solubility of sparingly soluble salt \( M_3A_2(s) \) is \(x\) gm/litre and \(y\) is the molar mass (in gm/mole) of the salt, then determine the value of \( \dfrac{[A^{3-}]}{K_{sp}} \).
For reaction \( A \rightleftharpoons B + C \) \[ \begin{array}{|c|c|c|c|} \hline \log K_p & 3.5 & 2.5 & 1.5 \\ \hline \frac{1}{T}\,(\text{K}^{-1}) & 0.04 & 0.05 & 0.06 \\ \hline \end{array} \] Calculate \( \dfrac{\Delta H}{R} \) (in Kelvin) based on above data. (Nearest integer)
Statement I : An electron in \( e_g \) causes destabilization of \(0.6\,\Delta_o\) and an electron in \( t_{2g} \) causes stabilization of \(0.4\,\Delta_o\) as per CFT.
Statement II : All d-orbitals of transition elements are degenerate in absence of ligands but splitting occurs in presence of ligands.

The % increase in oxygen in steam volatile product with respect to phenol is ____ \(10^{-1}\%\).

Benzene reacts with propyl chloride in presence of \(AlCl_3\) to give product \(X\). Mark correct statement(s) for the given reaction. 


(a) One of the intermediate is formed due to rearrangement. 
(b) Major product is n-propylbenzene. 
(c) Polysubstitution of substrate is also possible. 
(d) Electron releasing group decreases rate of reaction.

Hydrocarbon (P) on reductive ozonolysis gives products which give positive iodoform test and on acidification produces the compound shown. Identify the structure of (P). 

Compound A is formed when compound B reacts with reagent (R). When compound C reacts with the same reagent (R), the product formed will be (S). Identify reagent (R) and product (S). 

Which amongst the following will give benzyl isocyanide as a major product? 

Statement 1: Stability of carbanion follows the order shown. 
Statement 2: Allylic and benzylic carbanion stability is based on inductive effect and not resonance effect.

Compare the energy of orbitals for multielectronic species : (A) \(n = 3, \ell = 0, m = 0\)
(B) \(n = 3, \ell = 1, m = -1\)
(C) \(n = 4, \ell = 2, m = 0\)
(D) \(n = 3, \ell = 2, m = 1\)
Statement-I : The electronegativity order in F, O, N is \(F > O > N\).
Statement-II : Oxidation state of O in \(OF_2\) is \(+2\) and in \(Na_2O\) is \(-2\). Choose the correct option.
Select the correct statements : (a) Glucose has 2 anomeric forms.
(b) Both forms have difference in configuration at \(C_1\) carbon.
(c) \(\alpha\)-form has more melting point than \(\beta\)-form.
(d) Specific rotation of \(\alpha\)-form is \(+19^\circ\) and \(\beta\)-form has \(+112^\circ\).
(e) \(\alpha\)-form crystallises at \(307^\circ\) and \(\beta\)-form crystallises at \(371^\circ\).
0.4 gm organic compound is subjected to estimation of sulphur by Carius method. In the process \(0.6\) gm of \(BaSO_4\) was formed. Find \% of sulphur (nearest integer).
Three solutions (A, B and C) are prepared according to given diagrams \[ \text{Solution A: } 0.1M,\;10\,\text{ml HCl(aq)} + 0.1M,\;25\,\text{ml Ca(OH)}_2\text{(aq)} \] \[ \text{Solution B: } 0.1M,\;10\,\text{ml H}_2\text{SO}_4\text{(aq)} + 0.1M,\;10\,\text{ml Ca(OH)}_2\text{(aq)} \] \[ \text{Solution C: } 0.1M,\;10\,\text{ml H}_2\text{SO}_4\text{(aq)} + 0.1M,\;10\,\text{ml NaOH(aq)} \] If pH of solutions A, B and C are respectively \(pH_1\), \(pH_2\) and \(pH_3\), then correct option will be:
From the following, number of compounds with \(sp^3d\) hybridisation are: \[ XeF_4,\; ICl_4^-,\; ICl_2^-,\; XeF_5^-,\; SF_4,\; XeF_2,\; ClF_3,\; BrF_5,\; NH_4^+ \]
Which of the following property about Interstitial compound is INCORRECT?
Statement I : Sodium and Potassium dichromate are used as a primary standard in redox titrations.
Statement II : Phenolphthalein is weakly basic in nature hence it dissociates in acidic medium.
Consider the following statements (A) Ground state electronic configuration of Cr is \([Ar]\,4s^1 3d^5\)
(B) Size of \(2p_x\) orbital is smaller than \(3p_y\)
(C) Heisenberg uncertainty principle is applicable only for electron.
(D) (Energy of \(2s\))$_{Hydrogen}$ = (Energy of \(2s\))$_{Lithium}$
The correct statements are
Consider the statements. (A) \( \text{N} - \text{N} > \text{P} - \text{P} \) (Bond energy of single bond)
(B) All oxidation states of N lying between \(+1\) and \(+4\) tend to disproportionate in acidic medium.
(C) Maximum covalency of nitrogen is 4
(D) Nitrogen can form \(d\pi - p\pi\) bond with itself and other elements.
(E) Nitrogen has maximum density in its group due to its small size
The incorrect statements are:
Determine mole fraction of water in an aqueous solution of urea having \(10\%\) w/w urea.
Half life of first order reaction is \(6.93\) min. What is the time required (in min.) to complete \(99\%\) of reaction? \([\ln2 = 0.693]\)
For a first order reaction : \[ \text{A(g)} \rightarrow \text{B(g)} + \text{C(g)} \] If initial pressure is \( P_0 \) and total pressure at time \( t \) is \( P_t \), then the expression of rate constant \( K \) is:
A sequence of DNA has 300 nitrogenous base pairs, of which 75 are Guanine. What is the number of Thymine in this sequence?
A cube of side length \(5\,\text{cm}\) having modulus of rigidity \(10^5\,\text{N/m}^2\). The top is pulled by a force \(10\,\text{N}\) while the bottom is fixed. Find the displacement of the upper surface of cube (in mm).
If \(R=\) resistance, \(L=\) inductance, \(C=\) capacitance, then the dimension \([ML^2T^{-4}A^{-2}]\) represents