List of top Questions asked in JEE Main

Among the following, species that have one unpaired electron:
Decreasing order of the field strength of the following ligands will be: CO, CN-, Cl-, H2O
If \(f(x) =   \begin{cases}  x-2       & \quad 0\leq x\leq2\\     -2  & \quad -2\leq x\leq0   \end{cases}\) and \(h(x) = f(|x|) + |f(x)|, \int\limits^{k}_{0} h(x) dx\) is equal to _____.(k>0)
Find the number of rational numbers in the expansion of \((2^{\frac{1}{5}} + 5^{\frac{1}{3}})^{15}\).
Three urn A, B, C, A has 7 red and 5 black balls, B has 5 red and 7 black balls, C has 6 red and 6 black balls. One urn is selected and black ball is taken out. Find probability that the selected urn is A.
Find \(\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \frac{\sin^2x}{1+2^x} \;dx\)
\(f(x)=\frac{2x^2-3x+8}{2x^2+3x+8}\), Then sum of maximum and minimum values of f(x) is:
The coefficient of x7 in (1-x-x2+x3)6
If (z)2+|z|=0 and if α is sum of roots and β is product of non-zero roots, then find 4(α2+β2)
If the length of focal chord of y2 = 12x is 15 and if the distance of the focal chord from origin is p then 10p2 is equal to:
Correct match for phasors of voltage and current for given elements is
a. Inductive phasors of voltage and current for given elements
b. Capacitive phasors of voltage and current for given elements
C. Resistive phasors of voltage and current for given elements
Let relation defined as $(x_1, y_1) \,R (x_2, y_2)\, x_1 ≤ x_2,\, y_1 ≤ y_2$ and given that
(a) R is reflexive but not symmetric.
(b) R is transitive. then
Assertion (A) : The contact angle depends on material of solid and liquid.
Reason (R) : Height of the liquid in a capillary tube is independent of the radius of the tube.
A metallic rod of length 4 m is rotating about perpendicular bisector of the rod with angular velocity of 2 rad/s in presence of transverse magnetic field of 0.5 T. Potential difference developed across ends of rod is

If coefficient of $x^4, x^5, x^6$ of  $(1 + x)^n$ are in A.P., then maximum value of n is equal to

Statement 1 : In photoelectric effect, number of photoelectrons emitted are proportional to frequency of incident light.
Statement 2 : Maximum kinetic energy of photoelectrons is proportional to frequency of incident light.
If a, b, c are in A. P. and a + 1, b, c + 3 are in G. P., arithmetic mean of a, b, c is 8, then the value of cube of geometric mean of a, b, c is:
The circuit diagram shown is equivalent to
logic gates
The width of the one slit in YDSE is four times the other slit. Then ratio of maximum to the minimum intensity at screen is
If $ f(x) =\begin{cases}\frac{(72)^x - 9^x -8^x+1}{\sqrt2-\sqrt{1+cosx}} &; x ≠0\\a\,log2\,log3 &  ; x=0\end{cases} $ is continuous at x = 0. Then $a^2$ equals to
The radius of a circle is $\sqrt{10} .\,\, x + y = 4$ is the line intersecting the circle at P & Q. A chord MN is of length 2 m having slope –1. Find perpendicular distance between the two chords PQ and MN.
$(x^2 + 1)2dy + (y(2x^3 + x) – 2)dx = 0, y(0) = 0,$ then y(2) is equal to
Wavelengths assigned to gamma rays, infra-red rays, UV rays and microwaves are 1 , 2 , 3 & 4 respectively. Then :
With regard to gravitation parameters, the dimensions of $T^2$ are same as that of
Which of the following circuits would have the diode in conducting state?