List of top Questions asked in JEE Advanced- 2011

According to kinetic theory of gases

Among the following compounds, the most acidic is

A value of $b$ for which the equations $x^2+bx-1=0,x^2+x+b=0$ have one root in common is

Extraction of metal from the ore cassiterite involves

A meter bridge is set-up as shown in figure, to determine an unknown resistance $X$ using a standard $10 \Omega $ resistor: The galvanometer shows null point when tapping-key is at $52\, cm$ mark. The end-corrections are $1\, cm$ and $2 \,cm$ respectively for the ends $A$ and $B$. The determined value of $X$ is

A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, $ x_1 (t) = A sin \omega t $ and $x_2(t) = Asin\bigg( \omega t + \frac{ 2 \pi }{ 3} \bigg) $ Adding a third sinusoidal displacement $x_3(t)=B sin(\omega l + \Phi) $ brings the mass to a complete rest. The values of B and $\Phi $ are

A wooden block performs SHM on a frictionless surface with frequency $v_0$. The block carries a charge $+Q$ on its surface. If now a uniform electric field $E$ is switched-on as shown, then the $SHM$ of the block will be

Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solution is

A glass rod rubbed with silk is used to change a gold leaf electroscope and the leaves are observed to diverge. The electroscope thus charged is exposed to $X$-rays for a short period. Then

Bombardment of aluminium by a-particle leads to its artificial disintegration in two ways, (i) and (ii) as shown. Products X , Y and Z respectively, are

The wavelength of the first spectral line in the Balmer series of hydrogen atom is $6561\, \mathring{A}$. The wavelength of the second spectral line in the Balmer series of singly ionized helium atom is

The circle passing through the point (-1,0) and touching the Y-axis at (0, 2) also passes through the point

Let $E$ and $F$ be two independent events. The probability that exactly one of them occurs is $\frac{11}{25}$ and the probability of none of them occurring is $\frac{2}{25}$ . If $P(T)$ denotes the probability of occurrence of the event $T$, then

The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c, respectively. Of these subjects, the students has a 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Which of the following relations are true

Let $\overrightarrow{a}=\overrightarrow{i}+\overrightarrow{j}+\hat{k}, \overrightarrow{b}=\hat{i}-\hat{j}+\hat{k} $ and $\overrightarrow{c}=\overrightarrow{i}-\overrightarrow{j}-\overrightarrow{k} $ be three vectors. A vector $\hat{v}$ in the plane of $\overrightarrow{a}$ and $ \overrightarrow{b},$ whose projection on $\overrightarrow{c} $ is $\frac{1}{\sqrt{3}},$ is given by

Let $f : R \rightarrow R$ be a function such that $f (x + y) = f (x) + f (y), \forall x, y \in R$. If $f (x )$ is differentiable at $x = 0$, then

Let the eccentricity of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ be reciprocal to that of the ellipse $x^2+4y^2=4.$ If the hyperbola passes through a focus of the ellipse, then

The vector(s) which is/are coplanar with vectors $\widehat{i} + \widehat{j}+2\widehat{k}$ and $\widehat{i} + 2\widehat{j}+\widehat{k},$ are perpendicular to the vector $\widehat{i} + \widehat{j}+\widehat{k}$ is / are

Let P(6,3) be a point on the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1.$ If the norm al at the point P intersects the X -axis at (9, 0), then the eccentricity of the hyperbola is

$AgNO_3$ (aqueous) was added to an aqueous $KCl$ solution gradually and the conductivity of the solution was measured. The plot of conductance $\Lambda$ versus the volume of $AgNO_3$ is

Amongst the given options, the compound(s) in which all the atoms are in one plane in all the possible conformations (if any), is/are

Extra pure $N_2$ can be obtained by heating

Oxidation states of the metal in the minerals haematite and magnetite, respectively, are

Passing $H_2 S$ gas into a mixture of $Mn^{2+}, Ni^{2+}, Cu^{2+}$ and $Hg^{2+}$ ions in an acidified aqueous solution precipitates