List of top Questions asked in JEE Advanced

For two given events $A$ and $B, P(A \cap B) $ is
Prove that the value of the integral, $\int\limits_0^{2a} [f(x)/ f(x) + f(2a-x)] dx$ is equal to a
The value of the expression $\sqrt{3} cosec 20^\circ -sec 20^\circ $is equal to
If the first and the $ (2n - 1)th$ term of an $AP, GP$ and $HP$ are equal and their nth terms are $a, b$ and $c$ respectively, then
If $ y^2 = P (x) $ is a polynomial of degree 3, then $2 \frac{d}{dx} \bigg(y^3 \frac{d^2 \, y}{ dx^2}\bigg) $ equals
If one mole of a monoatomic gas ($\gamma$ = 5/ 3) is mixed with one mole of a diatomic gas ($\gamma$ = 7 / 5), the value of $\gamma$ for the mixture is
The orbital diagram in which Aufbau principle is violated is
A cylinder of radius R made of a material of thermal conductivity $K_1$, is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K$_2$. The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is
The wavelength of a spectral line for an electronic transition is inversely related to
A bottle of dry ammonia and a bottle of dry hydrogen chloride connected through a long tube are opened simultaneously at both ends the white ammonium chloride ring first formed will be
A satellite $S$ is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,
The molecule that has linear structure is
When mercuric iodide is added to the aqueous solution of potassium iodide
A particle executes simple harmonic motion with a frequency f. The frequency with which its kinetic energy oscillates is
The IUPAC name of the compound $CH_2=CH-CH(CH_3)_2 $ is
The probability that at least one of the events $A$ and $B$ occurs is $0.6$. If $A$ and $B$ occur simultaneously with probability $0.2$, then $P (\bar A) +P(\bar B)$ is
Which of the following oxides of nitrogen is a coloured gas ?
Bromine can be liberated from potassium bromide solution by the action of
If two compounds have the same empirical formula but different molecular formulae, they must have
During a negative beta decay
Atomic radii of fluorine and neon in Angstrom units are respectively given by
The brown ring complex compound is formulated as $[Fe (H_2 O)_5 (NO)^+] SO_4.$ The oxidation state of iron is
Hydrogen bonding is maximum in
A solution of sodium sulphate in water is electrolysed using inert electrodes. The products at cathode and anode are respectively
Amongst the trihalides of nitrogen, which one is least basic?