Recent questions tagged past papers

If 1, $\log_3 \sqrt{(3^{1-x} +2)}, \; \log_3 (4.3^x -1)$ are in AP, then $x$ equals :

asked Dec 11, 2018 by pady_1

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If $y = (x +\sqrt{1+x^2})^n $, then $(1+x^2) \frac{d^2y}{dx^2} + x \frac{dy}{dx}$ is :

asked Dec 11, 2018 by pady_1

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If $\alpha \neq \beta$ and $\alpha^2 = 5\alpha -3, \; \beta^2 = 5 \beta - 3$, then the equation having $\alpha/\beta$ and $\beta/\alpha$ as its roots, is :

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Picric acid is :

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Oxidation number of $Cl$ in $CaOCl_2$ (bleaching power) is :

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$SN^1$ reaction is feasible in :

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Maximum dehydration takes place that of :

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The metallic sodium dissolves in liquid ammonia to form a deep blue coloured solution. The deep blue colour is due to formation of :

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Select correct statement :

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A heat engine absorbs heat $q_1$ from a source at temperature $T_1$ and heat $q_2$ from a source at temperature $T_2$. Work done is found to be $J (q_1 +q_2)$. This is in accordance with :

asked Dec 11, 2018 by pady_1

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Conductivity (Seimen's S) is directly proportional to area of the vessel and the concentration of the soluion in it and is inversely proportional to the length of the vessel, then constant of proportionality is expressed in :

asked Dec 11, 2018 by pady_1

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Following types of compounds (as $I, II$) $(I) CH_3 CH = CH CH_3 $ (II) are studied in terms of isomerism in :

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$PCl_3$ and $PCl_5$ both exist; $NCl_3$ exists but $NCl_5$ does not exist. It is due to :

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In the followig benzyl/allyl system decreasing order of inductive effect is :

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On vigorous oxidation by permangnate solution $(CH_3)_2 C = CHCH_2CHO$ gives :

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Alum is widely used to purify water since :

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Rate constant $k$ of the first order reaction when initial concentration $C_0$ and concentration $C_t$ at time $t$ is given by equation $kt = \log C_0 - \log C_t$ Graph is a straight line if we plot :

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$H_2$ gas is absorbed on the metal surface like tungsten. This follows . . . . order reaction.

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pH of $0.005 \; M$ calcium acetate ($pK_a$ of $CH_3COOH = 4.74$) is :

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$Ce^{3+} , \; La^{3+}, \; Pm^{3+}$ and $Yb^{3+}$ have ionic radii in the increasing order as :

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Most common oxidation states of $Ce$ (Cerium) are :

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Increasing order of bond strength of $O_2, \; O_2^-, \; O_2^{2-}$ and $O_2^+$ is :

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Monomers are converted to polymer by :

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A reaction is non-spontaneous at the freezing point of water but is spontaneous at the boiling point of water then :

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Consider the following reactions at $1100^{\circ}C$ (I) $2C + O_2 \to 2CO, \; \; \; \; \Delta G^{\circ} = -460 \; k\;J\; mol^{-1}$ (II) $2Zn + O_2 \to 2ZnO, \; \; \; \; \Delta G^{\circ} = -360\; k\; J\; mol^{-1}$ Based on these, select correct alternate :

asked Dec 11, 2018 by pady_1

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Uncertainty in position of a particle of 25 g in space is $10^{-5}m$. Hence uncertainty in velocity $(ms^{-1})$ is (Planck's constant $h = 6.6 \times 10^{-34} Js$) :

asked Dec 11, 2018 by pady_1

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One of the following equilibria is not affected by change in volume of the flask :

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Type of isomerism shown by $[Cr(NH_3)_5 NO_2]Cl_2$ is :

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A square planar complex is formed by hybridisation of the following atomic orbitals :

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Energy of H-atom in the ground state is $-13.6 eV$, hence energy in the second excited state is :

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End product of the following reaction is : $CH_3CH_2COOH \xrightarrow[\text{$red \; P$}]{\text{$Cl_2$}}$

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Which of the following compounds has incorrect IUPAC nomenclature ?

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Number of atoms in the unit cell of $Na$ (BCC type crystal) and $Mg$ (FCC type crystal) are respectively :

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Geometrical isomerism is not shown by :

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Number of atoms in 560 g of $Fe$ (atomic mass $56\; g \; mol^{-1}$) is :

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For the reaction: $H_2 + I_2 \to 2HI$, the differential rate law is :

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$MnO_4^-$ is a good oxidising agent in different medium changing to $MnO_4^- \to Mn^{2+}$ $\; \; \; \; \; \; \; \;\; \; \to MnO_4^{2-}$ $\; \; \; \; \; \;\; \; \; \to MnO_2$ $\; \; \; \; \; \; \; \; \;\to Mn_2O_3$ Changes in oxidation number respectively are :

asked Dec 11, 2018 by pady_1

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Based on kinetic theory of gases following laws can be proved :

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For a cell given below : $Ag^++ e^- \to Ag \; \; \; \; \; \; \;E^{\circ} = x$ $Cu^{2+} + 2e^- \to Cu, \; \; \; \; E^{\circ} = y$ $E^{\circ} cell $ is :

asked Dec 11, 2018 by pady_1

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RNA contains :

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Consider following two reactions $\begin{align}A \to Product \; -\frac{d[A]}{dt} = k_1 [A]^0 \end{align}$ $\begin{align}B \to Product \; -\frac{d[B]}{dt} = k_2[B] \end{align}$ $k_1$ and $k_2$ are expressed in terms of molarity $(mol\;L^{-1})$ and time $(s^{-1})$ as :

asked Dec 11, 2018 by pady_1

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An aqueous solution of $1M\; NaCl$ and $1M\;HCl$ is :

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The number of lone pairs on $Xe$ in $XeF_2, \; XeF_4$ and $XeF_6$ respectively are :

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Racemic mixture is formed by mixing two :

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Hybridisation of the underline atom changes in :

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One of the following species acts as both Bronsted acid and base :

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$CH_3MgI$ is an organometallic compound due o :

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For a reaction $A + 2B \to C$, rate is given by $+\frac{d[C]}{dt} = k[A][B]$, hence the order of the reaction is :

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Bond angle of $109^{\circ}28'$ is found in :

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Underlined carbon is $sp^3$ hybridised in :

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