List of top Questions asked in JEE Main

A source of sound is moving away from a stationary observer with constant velocity 40 m/s. Find frequency heard by observer, if original frequency of source is 400 Hz and speed of sound in air is 360 m/s

In AM modulation, a signal is modulated on a carrier wave such that maximum and minimum amplitude are found to be $6 V$ and $2 V$ respectively The modulation index is

Two projectiles A and B are projected from the same point on ground with same speed of projection as shown. Find the ratio of maximum height attained by A to that of B.

For micelle formation, which of the following statements are correct?
(A) Micelle formation is an exothermic process
(B) Micelle formation is an endothermic process
(C) The entropy change is positive
(D) The entropy change is negative

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

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.

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

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

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

If the height of the tower used for L.D.S is increased by 21% then percentage change in range is?

Let $\alpha$ be the area of the larger region bounded by the curve $y^2=8 x$ and the lines $y=x$ and $x=2$, which lies in the first quadrant Then the value of $3 \alpha$ is equal to _____

The number of rational terms in the expansion of (3^3/4+ 5^3/2)60?

Consider two sets A and B. Set A has 5 elements whose mean & variance are 5 and 8 respectively. Set B has also 5 elements whose mean & variance are 12 & 20 respectively. A new set C is formed by subtracting 3 from each element of set A and by adding 2 to each element of set B. The sum of mean & variance of the set C is

The number of sp² hybridized carbon atoms in the following peptide is Ala – Phe – Gly – Ala – Phe - Ley

For the 1st order reactions, the ratio of t_50% to t_87.5% will be:

The mean and variance of 7 observations are 8 and 16 respectively If one observation 14 is omitted and $a$ and $b$ are respectively mean and variance of remaining 6 observation, then $a+3 b-5$ is equal to ______

The mean of coefficients of $x, x^2, ....., x^7$ in the binomial expansion of $(2 + x)^9$ is?

Let $S=\{1,2,3,4,5,6\}$ Then the number of one-one functions $f: S \rightarrow P ( S )$, where $P ( S )$ denote the power set of $S$, such that $f(m) \subset f(m)$ where $n < m$ is _______

Equation of progressive wave is $y = A\text{ sin}(160t-0.5x)$. Let the speed of the wave be 10x then, find x.

Electric field due to a dipole at a equatorial point depends upon r-n . Value of n is

Determine the amount of urea (NH₂CONH₂) to be added in 1000 g of water to decrease its vapour presssure by 25%.
Given: Molar mass of N. C. O and H are 14. 12. 16 and 1 2 mol^-1 respectively.

Correct order of first ionization energy of Li, Be, C, B, N, O, F

Choose the correct option.