List of top Questions asked in JEE Advanced

If $T_r$ is the $r$th term of an AP, for $r = 1,2,3,.... $ .If for some positive integers m and n, we have $T_m=\frac{1}{n}$ and $T_m=\frac{1}{m}$ then $T_{mn} $ equals

If $P = (x, y),F_1 = (3,0), F_2 = ( 3, 0)$ and $ 16x^2 + 25y^2 = 400,$ then $PF_1 + PF_2$ equals

If $P (1,2), Q (4,6), R (5, 7)$ and $S (a,b)$ are the vertices of a parallelogram $PQRS$, then

If $K_1$ and $K_2$ are the respective equilibrium constants for the two reactions, ${ XeF_6(g)+H_2O(g) <=> XeOF_4(g)+2HF(g)}$ ${ XeO_4(g)+XeF_6(g) <=> XeOF_4(g)+ XeO_3F_2(g)}$ The equilibrium constant of the reaction, ${XeO_4(g)+2HF(g) <=> XeO_3F_2(g)+H_2O(g)}$

Benzyl chloride $(C_6 H_5 CH_2 Cl)$ can be prepared from toluene by chlorination with

Benzene diazonium chloride on reaction with phenol in weakly basic medium gives

A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of the average rotational kinetic energy per O$_2$ molecule to per N$_2$ molecule is

Which of the following statement(s) is/are correct?

Which of the following statement(s) is/are correct when a mixture of NaCI and K$_2Cr_2O_7$ is gently warmed with cone. $H_2SO_4 ? $

Sodium nitrate decomposes above $ \approx; 800^\circ C $ to give

A new carbon-carbon bond formation is possible in

If $x > 1, y > 1, z > 1$ are in GP, then $\frac{1}{1+In\, x}, \frac{1}{1+In\, y},\frac{1}{1+In\, z},$ are in

Number of divisors of the form $(4n + 2), n\ge 0$ of the integer 240 is

If $\omega$ is an imaginary cube root of unity, then (1 + $\omega$ - $\omega^2)^7$ is equal to

A fair coin is tossed repeatedly. If tail appears on first four tosses, then the probability of head appearing on fifth toss equals

A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength between 499 nm and 500 nm is$U_1$, between 999 nm and 1000 nm is $U_2$ and between 1499 nm and 1500 nm is $U_3$. The Wien constant, b = 2.88 $\times 10^6$ nm-K. Then,

A string of length 0.4 m and mass $10^{-2} kg$ is tightly clamped at its ends. The tensior in the string is 1.6 N. Identical wave pulses are produced at one end at equal intervals of time $\Delta t.$ The minimum value of $\Delta t.$ which allows constructive interference between successive pulses, is

The torque $\tau$ on a body about a given point is found to be equal to A x L, where A is a constant vector and L is the angular momentum of the body about that point. From this it follows that

The circuit shown in the figure contains two diodes each with a forward resistance of 50 \(\Omega\) and with infinite backward resistance. If the battery voltage is 6 V, the current through the 100 \(\Omega\) resistance (in ampere) is
 

Which one of the following compounds has $sp^2-$ hybridisation?

Among $KO_2$, $AlO_2^-$ , $BaO_2$ and $NO_2^+$, unpaired electron is present in

The equation $\sqrt{x+1}-\sqrt{x-1}=\sqrt{4x-1}$ has

A steady current flows in a metallic conductor of non-uniform cross-section. The quantity/quantities constant along the length of the conductor is/are

Which contains both polar and non-polar bonds?

A non-conducting ring of radius 0.5 m carries a total charge of $1.11 \times 10^{-10}\, \, C$ distributed non-uniformly on its circumference producing an electric field E everywhere in space. The value of the integral $\int\limits^{l=0}_{l=\infty}-E.dl$ (l = 0 being centre of the ring) in volt is