List of top Questions asked in JEE Main

Electric flux \( \varphi \) is related with linear charge density \( \lambda \) and surface charge density \( \sigma \) as \( \varphi = \alpha \lambda + \beta \sigma \). Where \( \alpha \) and \( \beta \) are of appropriate dimension. The dimension of \( \frac{\beta}{\alpha} \) is:
Which of the following does not belong to the same group?
Statement 1: Fructose can give Tollens' test even though it does not have an aldehyde group.
Statement 2: When reacted with base, fructose can undergo rearrangement to produce an aldehyde group.
Lassaigne's test: Ionic bond converts to covalent bond.
If angles of projection for two projectiles are 30° and 60° then the ratio of velocities at maximum height is:
Which of the following react with Hinsberg reagent?
Statement 1: Hotter water moves faster than cold water.
Statement 2: Soap water has a higher surface tension than fresh water.
The coefficients of thermal conductivity are given as: \[ K_1 = 60 W/m^\circ C, K_2 = 120 W/m^\circ C, K_3 = 135 W/m^\circ C \] The temperature at the leftmost end is 100°C and the rightmost end is 0°C. Find the temperature \( \theta \) at the junction.
Which of the following elements doesn't lie on the same period?
Which of these is aromatic in nature?
Which of the following can show face-mer isomerism?
Which of the following pair of ions are same coloured?
From the English alphabets, 5 letters are chosen and arranged in alphabetical order. The total number of ways in which the middle letter is M is:
Let \( D = \{a, b, c\} \). How many distinct ways can \( D \) be partitioned into non-empty subsets, representing equivalence relations?
If |A| = 2, B = adj(adj(2A)), A is a 3×3 matrix, and tr(A) = 3, what is tr(B) + |B|?
A metal has a work function \( \phi \). When light of wavelength \( \lambda \) is incident on it, the kinetic energy of the ejected electrons is 2 eV. Find the new kinetic energy of the ejected electrons when light of wavelength \( \lambda/2 \) is used.
A solid sphere of mass \( M \), radius \( R \) exerts a gravitational force \( F \) on a point mass. Now a concentric spherical mass \( \frac{M}{7} \) is removed. What is the new force?
In a bag, there are 6 white balls and 4 black balls. Two balls are drawn at random. What is the probability that both balls are white?
An equiconvex lens of focal length \( f \) is cut into four parts as shown in the diagram. The focal length of each part is
Find the current in the circuit at steady state, given \( R = 2 \, \Omega \).
Density of 3 M NaOH is 1.25 g/ml. Molality of solutions is.
How many compounds have a linear shape among \( \text{SO}_2 \), \( \text{BeCl}_2 \), \( \text{N}_3^- \), \( \text{I}_3^- \), \( \text{NO}_2^+ \), \( \text{NO}_2 \)?
A force \( \mathbf{F} = 2\hat{i} + 3\hat{j} + 5\hat{k} \) acts on a particle moving in the direction of \( \mathbf{r} = 2\hat{i} + 3\hat{j} + \beta \hat{k} \). Find the value of \( \beta \) when the work done is zero.
A mass of 100 g is projected with an initial velocity of 12 m/s at an angle of 60° with the horizontal. Find the difference between the kinetic energy at the point of projection and the kinetic energy at the highest point.
Two parallel wires carry currents of 5 A and 4 A in opposite directions. The wires are separated by a distance of 4 cm. Find the net magnetic field at a point midway between the two wires.