List of top Questions asked in JEE Advanced- 2010

The species having pyramidal shape is

The species which by definition has zero standard molar enthalpy of formation at $298 \,K$ is

Among the following, intensive property is (properties are)

The packing efficiency of the two-dimensional square unit cell shown below is

To verify Ohm's law, a student is provided with a test resistor $R_T$, a high resistance $R_1$, a small resistance $R_2$, two identical galvanometers $G_1$ and $G_2$, and a variable voltage source V. The correct circuit to carry out the experiment is

A block of mass 2 kg is free to move along the x-axis. It is at rest and from t = 0 onwards it is subjected to a time-dependent force F (t) in the x-direction. The force F (t) varies with t as shown in the figure. The kinetic energy of the block after 4.5 s is

Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at room temperature, $100\, W, 60\, W$ and $40\, W$ bulbs have filament resistances $R_{100}, R_{60}$ and $ R_{40}, $ respectively, the relation between these resistances is

Consider a thin square sheet of side $L$ and thickness $t$, made of a material of resistivity $\rho$. The resistance between two opposite faces, shown by the shaded areas in the figure is

Plots showing the variation of the rate constant $(k)$ with temperature $(T)$ are given below. The plot that follows Arrhenius equation is

The number of $3 \times 3$ matrices $A$ whose entries are either $0$ or $1$ and for which the system A $\begin {bmatrix} x \\ y \\ z \end {bmatrix}-\begin {bmatrix} 1 \\ 0 \\ 0 \end {bmatrix}$ has exactly two distinct solutions, is

Aqueous solutions of $HNO_3 \, KOH, \, CH_3COOH$ and $CH_3COONa $ of identical concentrations are provided. The pair(s) of solutions which form a buffer upon mixing is(are)

A Vernier calipers has $1\, mm$ marks on the main scale. It has $20$ equal divisions on the Vernier scale which match with $16$ main scale divisions. For this Vernier calipers, the least count is

A $d.c$. battery of $V$ volt is connected to a series combination of a resistor $R$ and an ideal diode $D$ as shown in the figure below. The potential difference across $R$ will be

A real gas behaves like an ideal gas if its

The value(s ) of $ \int^1_0 \frac { x^4 ( 1 - x )^4 }{ ( 1 + x^2 ) } \, dx $ is are

The correct statement about the following disaccharide is

In the reaction. the intermediate(s) is/are

In the Newman projection for $2,2$-dimethylbutane $X$ and $Y$ can respectively be

Let $\omega$ be a complex cube root of unity with $\omega \, \ne$ 1. A fair die is thrown three times. If r$_1$, r$_2$ and r$_3$ are the numbers obtained on the die, then the probability that $\omega ^{r_1} +\omega ^{r_2} +\omega ^{r_3}=0 , $ is

Equation of the plane containing the straight line $\frac{x}{2}=\frac{y}{3}= \frac{z}{4}$ and perpendicular to the plane containing the staight lines $\frac{x}{2}=\frac{y}{4}= \frac{z}{2}$ and $\frac{x}{4}=\frac{y}{2}= \frac{z}{3}$ is

If the distance of the point $P (1, - 2,1)$ from the plane $x + 2y - 2z = a$, where $a > 0$, is $5$, then the foot of the perpendicular form $ P$ to the plane is

If the angles $A, B$ and $C$ of a triangle are in an arithmetic progression and if $a, b$ and $c$ denote the lengths of the sides opposite to $A, B$ and $C$ respectively, then the value of the expression $ \frac{a}{c} sin \, 2 C + \frac{c}{a} sin \, 2 A $ is

The synthesis of $3$-octyne is achieved by adding a bromoalkane into a mixture of sodium amide and an alkyne. The bromoalkane and alkyne respectively are

The reagent(s) used for softening the temporary hardness of water is(are)

The ionisation isomer of $[Cr(H_2O )_4Cl(NO_2 )]Cl$ is