List of top Questions asked in JEE Main- 2026

Surface tension of soap bubble is 0.03 N/m. The work done in increasing the diameter of bubble from 2 cm to 6 cm is \( \alpha \pi \times 10^{-4} \) J. Find the value of \( \alpha \).

An air bubble of radius 1 mm is rising up with constant speed of 0.5 cm/s in a liquid of density \( \rho_{\text{liq}} = 2000 \, \text{kg/m}^3 \). Find the coefficient of viscosity \( \eta \) in poise.

As shown in the figure in YDSE experiment, if intensity is \( \frac{3}{4} \) of maximum intensity at point P, and path difference at point 'P' is \( \Delta x = \frac{\lambda}{\alpha} \). Find the value of "α". (where \( \lambda \) is wavelength of light)

Parabola \( y = x^2 + px + q \) is passing through \( (1,-1) \) and vertex of parabola is at minimum distance from x-axis then \( p^2 + q^2 \) is

Work function for an object is 2.3 eV. If maximum kinetic energy of ejected electrons is 0.18 eV, find wavelength \( \lambda \) of incident photon on object.

An ideal gas of 5 moles has \( C_p = 8 \, \text{cal/mol}^\circ \text{C} \). If its temperature changes from 10°C to 20°C, then calculate the change in its internal energy (in cal).

Let \( f(x) \) be a polynomial of degree \( 5 \) having extreme values at \( x = 1 \) and \( x = -1 \). If \[ \lim_{x \to 0} \frac{f(x)}{x^3} = -5, \] then the value of \( f(B) - f(-2) \) is

If the lines \( x + (k - 1)y + 3 = 0 \) \& \( 2x + k^2y - 4 = 0 \) are perpendicular and their point of intersection is the centre of a circle which passes through origin. If chord \( x - y + 2 = 0 \) intersects this circle at \( A \) \& \( B \) then \( (AB)^2 = ? \)

A metal of work function 2.3 eV is irradiated with radiation of wavelength \( y \times 10^2 \) nm. The maximum kinetic energy of ejected electron is \( 2.8 \times 10^{-20} \) J. Then calculate \( y \) (in nearest integer).

Statement 1: The correct order of 2\(^\text{nd}\) ionization energy for boron family elements is: \( \text{B}>\text{Al}>\text{Ga} \).
Statement 2: The correct order of 1\(^\text{st}\) ionization energy for carbon family elements is: \( \text{Si}>\text{Ge}<\text{Pb}<\text{Sn} \).
Choose the correct option:

If \( z_1 \) lies on curve \( |z| = r \) and \( z_2 \) lies on curve \( |z - 3 - 4i| = 5 \), if minimum of \( |z_1 - z_2| = 2 \), then the maximum of \( |z_1 - z_2| \) is

Find the ratio of electric flux passing through two spheres centered at the origin, having radii 4 m and 6 m respectively, with charges \( q_1 = 8 \, \mu C \) and \( q_2 = 2 \, \mu C \) respectively.

Find \( \frac{BE}{A} \) of \( {}^{83}\text{Bi}^{209} \).
Given: \( M_{\text{Bi}} = 208.9804 \, \text{amu}, \, m_p = 1.007276 \, \text{amu}, \, m_n = 1.008665 \, \text{amu}, \, 1 \, \text{amu} = 931 \, \text{MeV} \)

Let \( x(y) \) be the solution of the given differential equation \( 2y^2 \dfrac{dx}{dy} - 2xy + x^2 = 0 \). If \( x(e) = e \), then \( \dfrac{3x(e^2)}{e^2} \) equals.

0.1 mole of \( H_2S \) is added in 1 liter of 0.1 HCl solution. Calculate the concentration of \( HS^{-} \).
[Given \( K_{a1} = 8.3 \times 10^{-8} \) and \( K_{a2} = 10^{-13} \)]

20 ml of 0.2 M HA (\( K_a = 5 \times 10^{-4} \)) is titrated with 10 ml of 0.2 M NaOH solution. Calculate the initial and final value of pH of the solution. [Given \( \log 5 = 0.7 \)]

Find number of points of discontinuity of the function \( f(x) = [x^2 - x + 2] \) in \( x \in [2,4] \) (where \( [\ ] \) denotes greatest integer function).

‘x’ be the osmotic pressure of a solution formed by dissolving 1g of a protein (M = 50,000 g/mol) in 0.5 litre and ‘y’ be the osmotic pressure of solution formed by dissolving 2g of the same protein in 1 litre at 300 K. If ‘z’ be the osmotic pressure of solution formed by mixing above two solutions. Then the value of ‘x’, ‘y’ and ‘z’ respectively are.
\text{Use: \( R = 0.083 \, \text{lit-bar/K-mol} \)}

Ram is tossing a coin. If head comes then 10 points will be given and if tail comes then 5 points will be given. If the probability of getting exactly 30 point is \( \dfrac{m}{n} \), then \( (m+n) \) equals (Where \( m \) \& \( n \) are co-prime numbers).

Let `C' be a circle with radius `6' units centred at origin. Let \( A(3,0) \) be a point. If \( B \) is a variable point in xy-plane such that circle drawn taking \( AB \) as diameter touches the circle \( C \), then eccentricity of the locus of point `B' is

Which of the following compounds shows coordination isomerism?
(A) \( [\text{Fe(NH}_3)_6] [\text{Co(CN)}_6] \)
(B) \( [\text{Cr(NH}_3)_6] [\text{Co(CN)}_6] \)
(C) \( [\text{Co(NH}_3)_6] [\text{Co(CN)}_6] \)
(D) \( [\text{Ag(NH}_3)_2] [\text{Ag(CN)}_2] \)
(E) \( [\text{Fe(NH}_3)_6] [\text{Cr(CN)}_6] \)

Arrange the following complexes in increasing order of C.F.S.E. (\( \Delta_0 \))
(a) \( [\text{Co}(\text{H}_2\text{O})_6]^{2+} \)
(b) \( [\text{Co}(\text{H}_2\text{O})_6]^{3+} \)
(c) \( [\text{Co}(\text{en})_3]^{3+} \)

Which of the ions show positive Borax Bead test and has the largest ionization energy:

Let \( A = \{2,3,4,5,6\} \) be a set. Consider \( R \) be a relation on \( A \times A \) such that \( (x,y) \, R \, (a,b) \) implies \( x \) divides \( a \) and \( y \leq b \), then total number of elements in \( R \) is:

A regular polygon with \( n \) sides is given. \( P_n \) denotes number of triangles formed by joining any three points of given regular polygon. If \( P_{n+1} - P_n = 66 \), then the sum of all prime divisors of \( n \) is