Recent questions tagged 2013

The intercepts on x-axis made by tangents to the curve, $\begin{align} y = \int_0^x |t| dt. x \in R \end{align}$. which are parallel to the line $y = 2x$, are equal to

asked Dec 11, 2018 by pady_1

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The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is

asked Dec 11, 2018 by pady_1

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The equation of the circle passing through the foci of the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$, and having centre at (0, 3) is

asked Dec 11, 2018 by pady_1

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If $\displaystyle\int f (x) dx = \Psi (x)$, then $\displaystyle\int x^5 f (x^3) dx$ is equal to

asked Dec 11, 2018 by pady_1

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If $x, y, z$ are in A.P and $\tan^{-1}x. \tan^{-1}y$ and $\tan^{-1}z$ are also in A.P., then

asked Dec 11, 2018 by pady_1

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All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?

asked Dec 11, 2018 by pady_1

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A ray of light along $x + \sqrt{3}y = \sqrt{3}$ gets reflected upon reaching x-axis , the equation of the reflected rays is

asked Dec 11, 2018 by pady_1

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Given : A circle, $2x^2 + 2y^2 = 5 $ and a parabola. $y^2 = 4 \sqrt{5} x$. Statement - I : An equation of a common tangent to these curves is $y = x+\sqrt{5}$. Statement - II : If the line, $y = mx + \frac{\sqrt{5}}{m} (m \neq 0)$is their common tangent, then m satisfies $m^4 - 3m^2 +2 = $

asked Dec 11, 2018 by pady_1

1 answer

ABCD is a trapezium such that AB and CD are parallel and $BC \perp CD$. If $\angle{ADB} = \theta, \; BC = p$ and $CD = q$, then AB is equal to

asked Dec 11, 2018 by pady_1

1 answer

The circle passing through (1, -2) and touching the axis of $x$ at $(3, 0)$ also passes through the point

asked Dec 11, 2018 by pady_1

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In which of the following pairs of molecules/ions, both the species are not likely to exist?

asked Dec 11, 2018 by pady_1

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An organic compound A upon reacting with $NH_3$ gives B. On heating B gives C. C in presence of KOH reacts with $Br_2$ to give $CH_3CH_2NH_2$. A is

asked Dec 11, 2018 by pady_1

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Energy of an electron is given by $E= -2.178 \times 10^{18} J \bigg(\large\frac{Z^2}{n^2}\bigg)$. Wavelength of light required to excite an electron in an hydrogen atom from level $n = 1$ to $n = 2$ will be

asked Dec 11, 2018 by pady_1

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Compound (A), $C_8H_9Br$, gives a white precipitate when warmed with alcoholic $AgNO_3$. Oxidatiion of (A) gives a acid (B), $C_8H_6O_4$. (B) easily forms anhydride on heating. Identify the compound (A).

asked Dec 11, 2018 by pady_1

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Which of the following exists as covalent crystals in the solid state ?

asked Dec 11, 2018 by pady_1

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Consider the following reaction : $xMnO_4^- + yC_2O_4^{2-} + zH^+ \rightarrow xMn^{2+} + 2yCO_2 + \frac{z}{2}H_2O$ The values of $x, y$ and $z$ in the reaction are, respectively :

asked Dec 11, 2018 by pady_1

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The gas leaked from a storage tank of the Union Carbide plant in Bhopal gas tragedy was :

asked Dec 11, 2018 by pady_1

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For gaseous state, if most probable speed is denoted by $C^*$, average speed by $\overline{C}$ and mean square speed by C, then for a large number of molecules the ratios of these speeds are :

asked Dec 11, 2018 by pady_1

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Which of the following represents the correct order of increasing first ionisation enthalpy for Ca, Ba, S, Se and Ar ?

asked Dec 11, 2018 by pady_1

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The order of stability of the following carbocations : is

asked Dec 11, 2018 by pady_1

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A gaseous hydrocarbon given upon combustion 0.72 g of water and 3.08 g of $CO_2$. The empirical formula of the hydrocarbon is :

asked Dec 11, 2018 by pady_1

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A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of $37.0^0C$. Ad it does so, it absorbs 208 J of heat. The values of q and w for the process will be : $(R = 8.314 \; J/mol\; K) \; (\ell n 7.5 = 2.01)$

asked Dec 11, 2018 by pady_1

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Which of the following complex species is not expected to exhibit optical isomerism ?

asked Dec 11, 2018 by pady_1

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Synthesis of each molecule of glucose in photosynthesis involves :

asked Dec 11, 2018 by pady_1

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The rate of a reaction doubles when its temperature changes from 300 K to 310 K. Activation energy of such a reaction will be : ($ R = 8.314 \; JK^{-1} mol^{-1}$ and $log\;2 = 0.301$)

asked Dec 11, 2018 by pady_1

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Arrange the following compounds in order of decreasing acidity :

asked Dec 11, 2018 by pady_1

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Given $E^0_{Cr^{3+}/Cr} = -0.74 \; V; \; E^0_{MnO_4^-/Mn^{2+}} = 1.51 \; V$ $E^0_{Cr_2O_7^{2-} / Cr^{3+}} = 1.33\; V; \;E^0_{Cl/Cl^-} = 1.36\; V$ Based on the data given abov, strongest oxidising agent will be :

asked Dec 11, 2018 by pady_1

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A compound with molecular mass 180 is acylated with $CH_2COCl$ to get a compound with molecular mass 390. The number of amino groups present per molecule of the former compound is :

asked Dec 11, 2018 by pady_1

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Experimentally it was found that a metal oxide has formula $M_{0.98}O$. Metal M, is present as $M^{2+}$ and $M^{3+}$ in its oxide. Fraction of the metal which exists as $M^{3+}$ would be :

asked Dec 11, 2018 by pady_1

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Which of the following arrangements does not represent the correct order of the property stated against it ?

asked Dec 11, 2018 by pady_1

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Which one of the following molecules is expected to exhibit diamagnetic behaviour ?

asked Dec 11, 2018 by pady_1

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How many litres of water must be added to 1 litre of an awueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2 ?

asked Dec 11, 2018 by pady_1

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The coagulating power of electrolytes having ions $Na^+, Al^{3+}$ and $Ba^{2+}$ for arsenic sulphide sol increases in the order :

asked Dec 11, 2018 by pady_1

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A solution of $(-) -1 - chloro - 1 - phenylethane$ is toluene racemises slowly in the presence of a small amount of $SbCl_5$, due to the formation of :

asked Dec 11, 2018 by pady_1

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Four successive members of the first row transition elements are listed with atomic numbers. Which one of them is expected to have the highest $E^0_{M^{3+}/M^{2+}}$ value ?

asked Dec 11, 2018 by pady_1

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Which of the following is the wrong statement ?

asked Dec 11, 2018 by pady_1

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The molrity of a solution obtained by mixing 750 mL of 0.5 (M) HCl with 250 mL of 2(M) HCl will be :

asked Dec 11, 2018 by pady_1

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Stability of the species $Li_2, Li_2^-$ and $Li_2^+$ increases in the order of :

asked Dec 11, 2018 by pady_1

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The first ionization potential of Na is 5.1 eV. The value of electron gain enthalpy of $Na^+$ will be :

asked Dec 11, 2018 by pady_1

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An unknown alcohol is treated with the "Lucas reagent" to determine the alcohol is primary, secondary or tertiary. Which alcohol reacts fastest and by what mechanism :

asked Dec 11, 2018 by pady_1

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The Air Prevention and control of pollution Act came into force in :

asked Aug 20, 2018 by pady_1

1 answer

Global warming can be controlled by :

asked Aug 20, 2018 by pady_1

2 answers

A sedentary sea anemone gets attached to the shell lining of hermit crab. The association is :

asked Aug 20, 2018 by pady_1

1 answer

Which one of the following processes during decomposition is correctly described ?

asked Aug 20, 2018 by pady_1

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A biologist studied the population of rats in a barn, He found that the average natality was 250, average mortality 240, immigration 20 and emigration 30. The net increase in population is :

asked Aug 20, 2018 by pady_1

1 answer

During sewage treatment, biogases are produced which include :

asked Aug 20, 2018 by pady_1

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In plant breeding programmes, the entire collection (of plants/seeds) having all the diverse alleles for all genes in a given crop is called :

asked Aug 20, 2018 by pady_1

1 answer

The cell-mediated immunity inside the human body is carried out by :

asked Aug 20, 2018 by pady_1

3 answers

Infection of Ascaris usually occurs by :

asked Aug 20, 2018 by pady_1

1 answer

The eye of octopus and eye of cat show different patterns of structure, yet they perform similar function, This is an example of :

asked Aug 20, 2018 by pady_1

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