List of top Questions asked in JEE Advanced- 2008

The correct stability order for the following species is

Electrolysis of dilute aqueous $NaCl$ solution was carried out by passing $10\, mA$ current. The time required to liberate $0.01\, mole$ of $H_2$ gas at the cathode is $(1 \,F\,= 96500 \,C \,mol^{-1})$

The correct statement(s) about the compound given below is/are

Solubility product constant ( $K_{sp}$ )of salts of types $ MX_1, MX_ 2 \, and \, M_3 \, X $ at temperature -T are $ 4.0 \times 10^ { - 8 } , \, 3.2 \times 10^{ - 14 } $ and $ 2.7 \times 10^{ - 15 }$, respectively. Solubilities (mol dm$^{- 3}$ ) of the salts at temperature T" are in the order

A block (5) is attached to two unstretched springs $ S_1 \, \, and \, \, S_2 $ with spring constants k and 4k, respectively. The other ends are attached to two supports $ M_1 $ and $ M_2 $ not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio $\frac{y}{x}$ is

Aqueous solution of $Na_2S_2O_3$ on reaction with $Cl_2$ gives

A solution of colourless salt $H$ on boiling with excess $NaOH$ produces a non-flammable gas. The gas evolution ceases after sometime. Upon addition of $Zn$ dust to the same solution, the gas evolution restarts. The colourless salt(s) $H$

The correct statement(s) concerning the structures $E, F$ and $G$ is/are

Figure shows three resistor configurations $R_{1}, R_{2}$ and $R_{2}$ connected to $3 V$ battery. If the power dissipated by the configuration $R_{1}, R_{2}$ and $R_{3}$ is $P_{1}, P_{2}$ and $P_{3}$, respectively, then

2.5 ml of . $ \frac{ 2 }{ 5 } $ M weak monoacidic base $ ( K_p = 1 \times 10^{ - 12 } \, at \, 25^\circ$ C) is titrated with $ \frac{ 2 }{ 1 5 } $ M HCI in water at $ 25^\circ$ C. The concentration of H ' at equivalence point is $ ( K_{ sp } = 1 \times 10^{ - 14 } \, at \, 25^\circ C) $

The IUPAC name of $ [Ni(NH_3 )_4][NiCl_4]$ is

The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vector $\widehat{a},\widehat{b},\widehat{c}$ such that $\widehat{a}.\widehat{b}=\widehat{b}.\widehat{c}=\widehat{c}.\widehat{a}=\frac{1}{2}.$Then, the volume of the parallelopiped is

Let $S_n= \displaystyle \sum_{k=0}^n \frac{n}{n^2+kn+k^2} \, and \, T_n= \displaystyle \sum_{k=0}^{n-1} \frac{1}{n^2+kn+k^2} , \, for \, $ $n = 1 ,2 ,3 $,... Then,

If $0 < x < 1$, then $\sqrt{1+x^2}[\{x cos(cot^{-1}x)$ $+sin(cot^{-1}x)\}^2-1]^{1/2}$ is equal to

Let $g(x) = \frac{(x -1)^n}{\log \cos^m (x -1)} ; 0 < x < 2 , m $ and $n$ are integers, m $\neq$ 0, n > 0 , and let $p$ be the left hand derivative of $|x - 1|$ at $x = 1$. If $\displaystyle \lim_{x \to 1^{+}} \, g(x) = p $ , then

An experiment has $10$ equally likely outcomes. Let $A$ and $B$ be two non-empty events of the experiment. If $A$ consists of $4$ outcomes, then the number of outcomes that $B$ must have, so that $A$ and $B$ are independent, is

The area of the region between the curves $ y= \sqrt \frac{1 + sin x}{cos x} $ and $ y= \sqrt \frac{1 - sin x}{cos x} $ and bounded by the lines $x = 0$ and $ x = \frac{\pi}{4} $ is

Let a and b be non-zero and real numbers. Then, the equation $ (ax^2 + by^2 + c) \, ( x^2 - 5xy + 6y^2) = 0 $ represents

Among the following surfactant that will form micelles in aqueous solution at the lowest molar concentration at ambient conditions is

A gas described by van der Waals' equation

Consider a branch of the hyperbola $x^2 - 2y^2 - 2\sqrt2x - 4\sqrt2y - 6 = 0$ with vertex at the point A. Let B be one of the end points of its latusrectum. If C is the focus of the hyperbola nearest to the point A, then the area of the $\Delta ABC$ is

Among the following, the coloured compound is

Hyperconjugation involves overlap of the following orbitals

Native silver metal forms a water soluble complex with a dilute aqueous solution of $NaCN$ in the presence of

The correct statement(s) about the compound given below is/are