List of top Questions asked in JEE Advanced

When a ray of light enters a glass slab from air
Two masses of 1 g and 4 g are moving with equal kinetic energies. The ratio of the magnitudes of their momenta is
GivenA=sin2ΞΈ+cos4ΞΈ,thenforallrealvaluesofΞΈGiven A = sin^2 \theta + cos^4 \theta , then for all real values of \theta
The probability that an event A happens in one trial of an experiment, is 0.4. Three independent trials of the experiments are performed. The probability that the event A happens at least once, is
Two events A and B have probabilities 0.25 and 0.50, respectively. The probability that both A and B occur simultaneously is 0.14. Then, the probability th a t neither A nor B occurs, is
Given positive integers r>1,n>2r >1, n > 2 and the coefficient of (3r)th(3r)th and (r+2)th (r + 2)th terms in the binomial expansion of (1+x)2n(1 + x)^2n are equal. Then,
Two circles x2+y2=6 x^2 + y^2 = 6 and x2+y2βˆ’6x+8=0 x^2 + y^2 - 6x + 8 = 0 are given. Then the equation of the circle passing through their points of intersection and the point (1, 1) is
Both the roots of the equation (xβˆ’b)(xβˆ’c)+(xβˆ’a)(xβˆ’c)+(xβˆ’a)(xβˆ’b)=0(x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are always
A ship of mass 3Γ—1073\times 10^7 kg initially at rest, is pulled by a force of 5Γ—104N5\times 10^4 N through a distance of 3 m. Assuming that the resistance due to water is negligible, the speed of the ship is
2.76 g of silver carbonate on being strongly heated yields a residue weighing
The largest number of molecules is in
The total number of electrons in one molecule of carbon dioxide is
When the same amount of zinc is treated separately with excess of sulphuric acid and excess of sodium hydroxide, the ratio of volumes of hydrogen evolved is
The compound which contains both ionic and covalent bonds is
The temporary hardness of water is due to calcium bicarbonate can be removed by adding
If tanΞΈ=βˆ’43,tan \theta=-\frac{4}{3}, then sinΞΈsin \theta is
Ammonia gas can be dried by
Let f:(0,1)β†’R be the function defined as f(x)=[4x](x-14\frac{1}{4})2(x-12\frac{1}{2}), where [x] denotes the greatest integer less than or equal to x .Then which of the following statements is(are) true?
Consider the following reaction scheme and choose the correct option(s) for the major products Q, R and S.
major products Q, R and S

first reflection
Taking the first reflection of M1. If the final image coincides with s, then find n.

𝑆1 and 𝑆2 are two identical sound sources of frequency 656 Hz. The source 𝑆1 is located at 𝑂 and 𝑆2 moves anti-clockwise with a uniform speed of 42\sqrt{2} ms-1 on a circular path around 𝑂, as shown in the figure. There are three points 𝑃, 𝑄 and 𝑅 on this path such that 𝑃 and 𝑅 are diametrically opposite while 𝑄 is equidistant from them. A sound detector is placed at point 𝑃. The source 𝑆1 can move along the direction 𝑂𝑃. [Given: The speed of sound in air is 324 ms-1]. When only 𝑆2 is emitting sound and it is at 𝑄, the frequency of sound measured by the detector in Hz is _________

In a YDSE bi-chromatic light of wavelengths 400 nm and 560 nm are used. The distance between the slits is 0.1 mm and the distance between the plane of the slits and the screen is 1 m. The minimum distance between two successive regions of complete darkness is
The number and type of bonds between two carbon atoms in CaC2CaC_2 are
In an interference arrangement similar to Young's double-slit experiment, the slits S1S_1, and S2S_2 are illuminated with coherent microwave sources, each of frequency 10610^6 Hz. The sources are synchronized to have zero phase difference. The slits are separated by a distance d = 150.0 m. The intensity I(ΞΈ)(\theta) is measured as a function of ΞΈ\theta, where ΞΈ\theta is defined as shown. If I0I_0 is the maximum intensity, then I(ΞΈ)(\theta) for 0≀θ≀0 \le \theta \le90∘^{\circ} is given by
A biconvex lens of focal length f forms a circular image of radius r of sun in focal plane. Then which option is correct ?