Recent questions in JEEMAIN and NEET

In hydrogen-oxygen fuel cell, combustion of hydrogen occurs to

asked Nov 5, 2018 by pady_1

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An ideal gas expands in volume from $1 \times 10^{-3} m^{3} $ to $1 \times 10^{-2} m^3$ at 300 K against a constant pressure of $1 \times 10^5 \; Nm^{-2}$. The work done is

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What type of crystal defect is indicated in the diagram below ?

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Which one of the following statements is false ?

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Which of the following liquid pairs shows a positive derivation from Raoult's law?

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For which of the following parameters the structural isomers $C_2H_5OH$ and $CH_3OCH_3$ would be expected to have the same values ? (Assume ideal behaviour)

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To neutralize completely $20\; mL$ of $0.1\; M$ aqueous solution of phosphorous acid $(H_3PO_3)$, the volume of $0.1 \; M$ aqueous $KOH$ solution required is

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1 answer

$6.02 \times 10^{20}$ molecules of urea are present in $100\; ml$ of its solution. The concentration of urea solution is

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The conjugate base of $H_2PO_4^-$ is

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In Vander Waals equation of state of the gas law, the constant 'b' is a measure of

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1 answer

Which among the following factors is the most important in making fluorine the strongest oxidizing halogen ?

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Which one of the following aqueous solutions will exhibit highest boiling point ?

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1 answer

The maximum number of $90^{\circ}$ angles between bond pair of electrons is observed in

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As the temperature is raised from $20^{\circ}C$ to $40^{\circ}C$, the average kinetic energy of neon atoms changes by a factor of which of the following?

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1 answer

Of the following outer electronic configurations of atoms, the highest oxidation state is achieved by which one of them ?

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2 answers

Which one of the following has the regular tetrahedral structure ?

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1 answer

The states of hybridization of boron and oxygen atoms in boric acis$(H_3BO_3)$ are respectively

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1 answer

The formulation of the oxide ion $O^{2-} (g)$ requires first an exothermic and then an endothermic step as shown below $O(g) + e^-O^-(g) \Delta H^{\circ} = -142 \; kJ\; mol^{-1}$ $O^-(g) + e^-O^{2-} (g) \Delta H^{\circ} = 844\;kJ\; mol^{-1}$

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The bond order in NO is 2.5 while that in $NO^+$ is 3. Which of the following statements is true for these two species ?

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Among $Al_2O_3, SiO_2, P_2O_3$ and $SO_2$ the correct order of acid strength is

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Which one of the following sets of ions represents the collection of isoelectronic species ?

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The correct order of bond angles (smallest first) in $H_2S, \; NH_3, \; BF_3$ and $SiH_4$ is

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1 answer

The wavelength of the radiation emitted, when in hydrogen atom electron falls from infinity to stationary state , would be (Rydberg constant = $1.097 \times 10^7\; m^{-1}$)

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1 answer

Which one of the following ions has the highest value of ionic radius ?

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Consider the ground state of Cr atom (Z = 24). The number of electrons with the azimuthal quantum numbers $l = 1$ and $2$ are respectively

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Which of the following sets of quantum numbers is correct for an electron in 4f orbital ?

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1 answer

If $t_1$ and $t_2$ are the times of flight of two particles having the same velocity $u$ and range $R$ on the horizontal, then $t^2_1 + t^2_2$ is equal to

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A velocity $\frac{1}{4}\;m/s$ is resolved into two components along OA and OB making angle $30^{\circ}$ and $45^{\circ}$ respectively with the given velocity. Then the component along OB is

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A particle moves towards east from a point A to a point B at the rate of $4\; km/h$ and then towards north from B to C at the rate of $%\; km/h$. If $AB = 12\; km$ and $BC = 5\; km$, then its average speed for its journey from A to C and resultant average velocity direct from A to C are respectively

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Three forces $\overrightarrow{P}, \overrightarrow{Q}$ and $\overrightarrow{R}$ acting along $IA, \; IB$ and $IC$, where $I$ is the incentre of a $\Delta ABC$, are in equilibrium. Then $\overrightarrow{P} : \overrightarrow{Q} : \overrightarrow{R}$ is

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In a right angle $\Delta ABC, \; \angle{A}=90^{\circ}$ and sides a, b, c respectively, 5 cm, 4 cm and 3 cm. If a force $\overrightarrow{F}$ has moments 0, 9 and 16 in N cm units respectively about vertices A, B and C, then magnitude of $\overrightarrow{F}$ is

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With two forces acting at a point, the maximum effect is obtained when their resultant is 4N. If they act at right angles, then their resultant is 3N. Then the forces are

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The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is

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A random variable $X$ has the probability distribution :

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The probability that A speaks truth is $\frac{4}{5}$, while this probability for B is $\frac{3}{4}$. The probability that they contradict each other when asked to speak on a fact is

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In a series of 2n observations, half of them equal a and remaining half equal -a. If the standard deviation of the observations is 2, then |a| equals

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Consider the following statements : (a) Mode can be computed from histogram (b) Median is not independent of change of scale (c) Variance is independent of change of origin and scale. Which of these is/are correct ?

asked Nov 5, 2018 by pady_1

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Let $\overline{a},\; \overline{b}$ and $\overline{c}$ be non-zero vectors such that $(\overline{a} \times \overline{b}) \times \overline{c} = \frac{1}{3} |\overline{b}| |\overline{c}| \overline{a}$. If $\theta$ is the acute angle between the vectors $\overline{b}$ and $\overline{c}$, then $\sin \theta$ equals

asked Nov 5, 2018 by pady_1

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Let $\overline{u}, \; \overline{v},\; \overline{w}$ be such that $|\overline{u}| = 1, \; |\overline{v}|=2, \; |\overline{w}|=3$ If the projection $\overline{v}$ along $\overline{u}$ is equal to that of $\overline{w}$ along $\overline{u}$ and $\overline{v}\; , \overline{w}$ are perpendicular to each other then $|\overline{u} - \overline{v} + \overline{w}|$ equals

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If $\overline{a}, \overline{b}, \overline{c}$ are non-coplanar vectors and $\lambda$ is a real number, then the vectors $\overline{a} + 2 \overline{b} + 3 \overline{c}, \; \lambda \overline{b} + 4 \overline {c}$ and $(2 \lambda -1) \overline{c}$ are non-coplanar for

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A particle is acted upon by constant forces $4 \hat{i} +\hat{j}-3 \hat{k}$ and $3 \hat{i} + \hat{j} - \hat{k}$ which displace it from a point $\hat{i} + 2 \hat{j} + 3 \hat{k}$ to the point $5 \hat{i} + 4 \hat{j} + \hat{k}$. The work done in standard units by the forces is given by

asked Nov 5, 2018 by pady_1

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Let $\overrightarrow{a}, \overrightarrow{b}$ and $\overrightarrow{c}$ be three non-zero vectors such that no two of these are collinear. If the vector $\overrightarrow{a} + 2 \overrightarrow{b} $ is collinear with $\overrightarrow{c}$ and $\overrightarrow{b} + 3 \overrightarrow{c}$ is collinear with $\overrightarrow{a}$ ($\lambda$ being some non-zero scalar) then $\overrightarrow{a} + 2\overrightarrow{b} + 6 \overrightarrow{c}$ equals

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The intersection of the spheres $x^2+y^2+z^2+7x-2y-z=13$ and $x^2+y^2+z^2 -3x+3y+4z=8$ is the same as the intersection of one of the sphere and the plane

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If the straight lines $x=1+s,\;y = -3 -\lambda s, \; z = 1 + \lambda s$ and $x= \frac{t}{2},\; y=1+t,\;z=2-t$ with parameters s and t respectively, are co-planar then $\lambda$ equals

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A line with direction cosines proportional to 2, 1, 2 meets each of the lines $x=y+a=z$ and $x+a=2y=2z$. The co-ordinates of each of the point of intersection are given by

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Distance between two parallel planes $2x+y+2z=8$ and $4x+2y+4z+5=0$ is

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A line makes the same angle $\theta$, with each of the $x$ and $z$-axis. If the angle $\beta$, which it makes with $y-axis$, is such that $\sin^2 \beta = 3 \sin^2 \theta$, then $\cos^2 \theta$ equals

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The eccentricity of an ellipse, with its centre at the origin, is $\frac{1}{2}$. If one of the directrices is $x=4$, then the equation of the ellipse is

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If $a \neq 0$ and the line $2bx+3cy+4d=0$ passes through the points of intersection of the parabolas $y^2=4ax$ and $x^2=4ay$, then

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The intercept on the line $y=x$ by the circle $x^2 + y^2 -2x=0$ is AB. Equation of the circle on AB as a diameter is

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