List of top Questions asked in JEE Main

If light is passing through a medium of critical angle 45°, then the wave speed will be

Match the columns Column I Column II (a) Biodegradable (p) polyacrylonitrie (b) Synthetic (q) PHBV (c) Natural (r) dacron (d) Polyester (s) Rubber

Choose correct graph of resistivity and temperature for semi-conductor material.

A wire of length 2 m, radius of cross-section 20 mm and Young's Modulus 2×10¹¹ N/m is subjected to a force of 62.8 kN.The change in length of the wire is p×10^–5 (in m). Find P.

Let the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{7}=1$ and the hyperbola $\frac{x^2}{144}-\frac{y^2}{\alpha}=\frac{1}{25}$ coincide Then the length of the latus rectum of the hyperbola is:-

If $x+y+z=17$ and x, y, z are non-negative integers, then find the number of integral solutions is

($\frac{2x^3-1}{3x^8}$)⁵$\rightarrow$coefficient of x⁴

Mean of first 15 numbers is 12 and variance is 14. Mean of next 15 numbers is 14 and variance is a. If variance of all 30 numbers is 13, then a is equal to

Let [x] be the greatest integer ≤ x. Then the number of points in the interval (-2,1), where the function f(x) = |[x] |+$\sqrt{x -[x] }$is discontinuous is _____.

Given below are two statements, one is labelled as Statement-1 and the other is labelled as Statement-2: Statement-1: Sulphides are converted into oxide first. Statement-2: Because oxides can be reduced easily. In the light of the above statements, choose the correct answer from the options given below

Find period of oscillation if mass 'm' is displaced parallel to earth's surface & released?

A sphere of density ρ & mass m is moving down with constant velocity in viscous liquid of density ρ₀. Find out viscous force on sphere

For the given reaction

The total number of possible products formed by tertiary carbocation of A is____.

The mass of NH3 produced when 131.8 kg of cyclohexanecarbaldehyde undergoes Tollen's test is ___ kg. (Nearest Integer)
Molar Mass of C = 12g/mol
N = 14g/mol
0 = 16g/mol

If $∫^{0.15}_{-0.15 }|100x^2-1|dx=\frac{k}{3000,}$ then k is equal to____.

Two circles in the first quadrant of radii r₁ and r₂ touch the coordinate axes. Each of them cuts off an intercept of 2 units with the line x + y = 2. Then $r^2_1+r_2^2– r_1r_2$ is equal to_____.

Let the plane x + 3y – 2z + 6 = 0 meet the co-ordinate axes at the points A,B,C. If the orthocentre of the triangle ABC is $(α,β,\frac{6}{7}),$ then 98(α + β)² is equal to___.

Values of work function (Wo) for a few metals are given below

Metal	Li	Na	K	Mg	Cu	Ag
W_o/eV	2.42	2.3	2.25	3.7	4.8	4.3

The number of metals which will show photoelectric effect when light of wavelength 400nm falls on it is____

Given: h = 6.6 × 10^-34 J s
c = 3 x 10⁸ m s^-1
e = 1.6 x 10^-19 C

In an oligopeptide named Alanylglycylphenyl alanyl isoleucine, the number of sp² hybridised carbons is_____.

Let the digits a, b, c be in A.P. Nine-digit numbers are to be formed using each of these three digits thrice such that three consecutive digits are in A.P. at least once. How many such numbers can be formed?

At 600K, the root mean square (rms) speed of gas X (molar mass = 40) is equal to the most probable speed of gas Y at 90K. The molar mass of the gas Y is ____ g mol^-1. (Nearest integer)

Match List I with List II

	List I		List II
A	Nitrogen oxides in air	I	Eutrophication
B	Nitrogen oxides in air	II	Eutrophication
C	Carbon dioxide	III	Global warming
D	Phosphate fertilisers in water	IV	Acid rain

Choose the correct answer from the options given below:

Correct statements for the given reaction are:

A. Compound 'B' is aromatic
B. The completion of above reaction is very slow
C. 'A' shows tautomerism
D. The bond lengths C-C in compound B are found to be same
Choose the correct answer from the options given below

The two products formed in above reaction are

Match List I with List II

	List I-Examples		List II-Type
A	2-Chloro-1, 3-butadiene	I	Nylon 2-nylon 6
B	Nylon 2-nylon 6	II	Synthetic Rubber
C	Polyacrylonitrile	III	Polyester
D	Dacron	IV	Addition Polymer

Choose the correct answer from the options given below: