List of top Questions asked in JEE Advanced

The locus of the centre of a circle, which touches externally the circle $x^2 + y^2 -6 x - 6y + 14 = 0$ and also touches the Y-axis, is given by the equation

An unbiased die with faces marked $1, 2, 3, 4, 5$ and $6$ is rolled four times. Out of four face values obtained, the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5, is

An ideal gas is taken from the state A (pressure p, volume V) to the state B (pressure p /2, volume 2 V) along a straight line path in the p-V diagram. Select the correct statements from the following

Two blocks A and B each of mass m, are connected by a massless spring of natural length Land spring constant k. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length, as shown in figure. A third identical block C, also of mass m, moves on the floor with a speed v along the line joining A and B, and collides elastically with A. Then

The maximum possible number of hydrogen bonds a water molecule can form is

A car is moving in a circular horizontal track of radius $10\,m$ with a constant speed of $10\, m/s$. A plumb bob is suspended from the roof of the car by a light rigid rod. The angle made by the rod with the vertical is $(Take \,g \,=\, 10 m/s^2)$

In an n-p-n transistor circuit, the collector current is 10 mA. If 90% of the electrons emitted reach the collector

A planet is observed by an astronomical refracting telescope having an objective of focal length 16 m and an eyepiece of focal length 2 cm

Which of the following does not characterise X-rays ?

When a monochromatic point source of light is at a distance of 0.2 m from a photoelectric cell, the cut-off voltage and the saturation current are respectively 0.6 V and 18.0 mA. If the same source is placed 0.6 m away from the photoelectric cell, then

The displacement $y$ of a particle, if given by $y=4 \cos ^{2}(t / 2) \sin (1000 t)$. This expression may be considered to be a result of the superposition of how many simple harmonic motions?

If the sum of the distance of a point from two perpendicular lines in a plane is 1, then its locus is

India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points $0, 1$ and $2 $ are $0.45, 0.05$ and $0.50,$ respectively. Assuming that the outcomes are independent. The probability of India getting a t least 7 points, is

The expression $[x+(x^3-1)^{1/2}]^5 +[x-(x^3-1)^{1/2}]^5$ is a polynomial of degree

Let $ \alpha, \beta $ be the roots of the equation,$(x - a) (x - b) = c, c \ne 0 $.Then the roots of the equation $ (x - \alpha) \, (x - \beta) + c = 0 $ are

Isomers which can be interconverted through rotation around a single bond are

The products of combustion of an aliphatic thiol (RSH) at 298 K are

Hydrogenation of benzoyl chloride in presence of $Pd$ on $BaSO_{4}$ gives

The type of hybrid orbitals used by the chlorine atom in $ClO_2^-$ is

Which of the following have identical bond order?

The centre of a circle passing through the points $ (0, 0),(1, 0)$ and touching the circle $x^2 + y^2 = 9$ is

A cylindrical tube open at both the ends has a fundamental frequency of $390\,Hz$ in air. If $1/4^{th}$ of the tube is immersed vertically in water the fundamental frequency of air column is

The moment of inertia of a thin square plate $A B C D$, of uniform thickness about an axis passing through the centre $O$ and perpendicular to the plane of the plate is where $I_{1}, I_{2}, I_{3}$ and $I_{4}$ are respectively moments of inertia about axes $1,2,3$ and $4$ which are in the plane of the plate

The oxidation state of the most electronegative element in the products of the reaction. $ BaO_2 $ with dil, $ H_2SO_4 $ are