List of top Questions asked in JEE Advanced

The centre of circle inscribed in square formed by the lines $x^2 - 8x + 12 = 0$ and $y^2 - 14y + 45 = 0$, is

For uranium nucleus how does its mass vary with volume ?

An enantiomerically pure acid is treated with racemic mixture of an alcohol having one chiral carbon.The ester formed will be

$[X] + H_2 SO_4 \longrightarrow [Y]$ a colourless gas with irritating smell $[Y] + K_2 Cr_2 O_7 + H_2 SO_4 \longrightarrow$ green solution $[X]$ and $ [Y]$ are

In the process of extraction of gold, Roasted gold ore $+CN^-+H_2O\xrightarrow{O_2}[X]+HO$ $[X]+Zn\rightarrow[Y]+Au$ Identify the complexes [X] and [Y]

For $H_3PO_3\, and\, H_3PO_4,$ the correct choice is

$Me_2SiCl_2$ on hydrolysis will produce

Among the following, the molecule with the highest dipole moment is

A police car moving at 22 m/s chases a motorcyclist. The police man sounds his hom at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle, if it is given that the motorcyclist does not observe any beats (speed of sound = 330 m/s).

A cube has a side of length $1.2 \times 10^{ - 2 }\, m$. Calculate its volume.

A current carrying loop is placed in a uniform magnetic field in four different orientations, I, II, III and IV, arrange them in the decreasing order of potential energy

For a positively charged particle moving in a x-y plane initially along the x-axis, there is a sudden change in its path due to the presence of electric and/or magnetic fields beyond P. The curved path is shown in the x - y plane and is found to be non-circular. Which one of the following combinations is possible?

A particle undergoes uniform circular motion. About which point on the plane of the circle, will the angular momentum of the particle remain conserved ?

Consider a body, shown in figure, consisting of two identical balls, each of mass M connected by a light rigid rod. If an impulse J = Mv is imparted to the body at one of its end, what would be its angular velocity ?

In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning for k is 0.1 m. When this length is changed to 0.35 m, the same tuning fork resonates with the first overtone. Calculate the end correction.

Let T > 0 be a fixed real number. Suppose, f is a continuous function such that for all $x \in R. f(x+T)=f(x). \, If \, I = \int_0^T f(x)dx$ then the value of $\int_3^{3+3T} f(2x)dx$

The sum $\displaystyle \sum_{i-0}^{m} \binom{10}{i} \binom{20}{m-i},$ where $ \binom{p}{q}=0 \, if \, p>q,$ is maximum when m is equal to

The area (in sq units) bounded by the curves $y=|x|-1$ and $y=-|x|+1$ is

The set of all real numbers x for which $x^2-|x+2|+x>0$ is

A 100 W bulb $B_1$ and two 60 W bulbs $B_2 \, and\, B_3$, are connected to a 250 V source, as shown in the figure. Now $W_1, W_2 \, and \, W_3$ are the output powers of the bulbs $B_1, B_2$ and $B_3$ respectively. Then,

A small block is connected to one end of a massless spring of unstretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t = 0. It then executes simple harmonic motion with angular frequency to = $\frac{\pi }{3}$ rad/s. Simultaneously at t = 0, a small pebble is projected with speed v from point P at an angle of 45$^{\circ}$ as shown in the figure. Point P is at a horizontal distance of 10 m from O. If the pebble hits the block at / = 1 s, the value of v is $ (take \, \, g = 10 m /s_2 $

Consider the chemical reaction, $N_2(g)+3H_2(g)\rightarrow 2NH_3(g)$ .The rate of this reaction can be expressed in terms of time derivatives of concentration of $N_2(g), H_2(g) or NH_3(g)$. Identify the correct relationship amongst the rate expressions

How many moles of electron weighs 1 kg?

Which of the following molecular species has unpaired electron (s)?

Consider the following equilibrium in a closed container $ N_2 O_4 \, (g) \rightleftharpoons 2NO_2 \, ( g) $ At a fixed temperature, the volume of the reaction container is halved. For this change, which of the following statements hold true regarding the equilibrium constant $ ( K_p ) $ and degree of dissociation $( \alpha)$ ?