Recent questions in JEEMAIN and NEET

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 :

asked Dec 11, 2018 by pady_1

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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 :

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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Alum is widely used to purify water since :

asked Dec 11, 2018 by pady_1

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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 :

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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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 :

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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Which of the following compounds has incorrect IUPAC nomenclature ?

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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Geometrical isomerism is not shown by :

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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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 :

asked Dec 11, 2018 by pady_1

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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 :

asked Dec 11, 2018 by pady_1

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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 :

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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Racemic mixture is formed by mixing two :

asked Dec 11, 2018 by pady_1

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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 :

asked Dec 11, 2018 by pady_1

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$CH_3MgI$ is an organometallic compound due o :

asked Dec 11, 2018 by pady_1

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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 :

asked Dec 11, 2018 by pady_1

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

asked Dec 11, 2018 by pady_1

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Underlined carbon is $sp^3$ hybridised in :

asked Dec 11, 2018 by pady_1

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For an aqueous solution, freezing point is $-0.186^{\circ}C$. Elevation of the boiling point of the same solution is $(K_f = 1.86^{\circ} mol^{-1} kg$ and $K_b = 0.512^{\circ} mol^{-1}kg)$ :

asked Dec 11, 2018 by pady_1

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