List of top Questions asked in JEE Advanced

Water of volume 2 L in a container is heated with a coil of 1 kW at 27$^{\circ}$C. The lid of the container is open and energy dissipates at rate of 160 J/s. In how much time temperature will rise from 27$^{\circ}$C to 77$^{\circ}$C? [Specific heat of water is 4.2 kJ/kg]

A convex lens is in contact with concave lens. The magnitude of the ratio of their focal length is of the ratio of their focal length is $\frac{3}{2}$ Their equivalent focal length is 30 cm. What are their individual focal lengths ?

One mole of monoatomic ideal gas expands adiabatieally at initial temperature T against a constant external pressure of I atm from 1 L to 2 L. Find out the final temperature $(R = 0.0821\: atm \: K^{-1}m oI^{-1})$

Which ore contains both iron and copper?

In which of the following process, convection does not take place primarily?

if $p=\begin {bmatrix} \sqrt 3 /2 & 1/2 \\ -1/2 & \sqrt 3/2 \end {bmatrix} , A=\begin {bmatrix} 1 & 1 \\ 0 & 1 \end {bmatrix}$ and $ Q=PAP^T,\ then$ $P^TQ^{2005}P $ is

If $\int_{sin x}^1 \, t^2 f(t) dt =1-sin x, \forall x \in (0,\pi/2), \, then \, f\bigg(\frac{1}{\sqrt 3}\bigg)$ is

A variable plane $ \frac{x}{a}+ \frac{y}{b}+ \frac{z}{c} =1$ at a unit distance from origin cuts the coordinate axes at A. Band C. Centroid (x, y, z) satisfies the equation $ \frac{1}{x^2}+ \frac{1}{y^2}+ \frac{1}{z^2} =K.$ The value of K is

The number of ordered pairs $(\alpha, \beta), $ where $\alpha, \beta \in(-\pi, \pi)$ satisfying cos $(\alpha-\beta)=1 and cos (\alpha+\beta)=\frac{1}{e}$ is

In a $\triangle$ ABC, among the following which one is true?

If $\overrightarrow{a}$ and $\overrightarrow{b_1}$ are two unit vectors such that $\overrightarrow{a}+2\overrightarrow{b}$ and $5\overrightarrow{a}-4\overrightarrow{b}$ b, are perpendicular to each other, then the angle between $\overrightarrow{a} and \overrightarrow{b}$ is

Let $f (x) = ax^2 + bx + c, a \ne 0$ and $\Delta =b^2 -4ac.$ If $a+ \beta,$ $a^2+ \beta^2$ and $a^3+ \beta^3$ are in GP, then

The shaded region, where $P = (-1,0), Q = (-1 + \sqrt 2,\sqrt 2 )R = (-1 + \sqrt 2,-\sqrt 2), S = (1,0)$ is represented by

The minimum value of $| a + b\omega + c \omega^2|$ , where $ a, b$ and $c$ are all not equal integers and $\omega \, (\ne 1)$ is a cube root of unity, is

The area of the equilateral triangle, in which three coins of radius 1 cm are placed, as shown in the figure, is

If f (x) is continuous and differentiable function and f (1/n) = 0 $\forall$ n $\ge$ 1and n $\in$ I, then

If a star can convert all the He nuclei completely into oxygen nuclei. The energy released per oxygen nuclei is : (Mass of the helium nucleus is 4.0026 amu and mass of oxygen nucleus is 15.9994 amu)

An infinitely long cylinder is kept parallel to an uniform magnetic field B directed along positive z-axis. The direction of induced current as seen from the 2-axis will be

Which of the following isomers of phosphorus is thermodynamically most stable?

Lyophilic sols are

Which gas is evolved when $PbO_2$ is treated with concentrated $HNO_3$?

A pale blue liquid obtained by equimolar mixture of two gases at $- 30^\circ\, C$ is

Which of the following will not be oxidised by $O_3$?

Which of the following $fcc$ structure contains cations in alternate tetrahedral voids?

A metal nitrate reacts with KI to give a black precipitate which on addition of excess of KI convert into orange colour solution. The cation of metal nitrate is