JEE Main 2026 (Online) 5th April Evening Shift

Match List-I with List-II. where h (Planck's constant), G (gravitational constant) and c (speed of light in vacuum) as fundamental units. Choose the correct answer from the options given below :

1. A-II, B-IV, C-I, D-III
2. A-IV, B-II, C-I, D-III
3. A-IV, B-I, C-II, D-III
4. A-III, B-I, C-II, D-IV

In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10 V and 5 A, respectively. The least counts of voltmeter and ammeter are 500 mV and 200 mA, respectively. The estimated error in the resistance measurement is .

1. 0.25
2. 2
3. 2.5
4. 0.18

A mass of 1 kg is kept on an inclined plane with 30 inclination with respect to horizontal plane and it is at rest initially. Then the whole assembly is moved up with constant velocity of 4 m/s. The work done by the frictional force in time 2 s is J. (Take g=10 m/s2)

1. 20
2. 25
3. 30
4. 10

The velocity (v) versus time (t) plot of a particle is shown in the figure, for a time interval of 40 s. The total distance travelled by the particle and the average velocity during this period are, respectively . [figure]

1. 25 m and zero
2. 50 m and zero
3. 100 m and zero
4. 100 m and 2.5 m/s

A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first 2 s it rotates through an angle 1 and in the next 2 s it rotates through an angle 2. The ratio 2 1 is .

1. 6
2. 3
3. 4
4. 13

An object of uniform density rolls up the curved path with the initial velocity v0 as shown in the figure. If the maximum height attained by an object is 7v0210g (g = acceleration due to gravity), the object is a . [figure]

1. solid cylinder
2. ring
3. disc
4. solid sphere

A body of mass m is taken from the surface of earth to a height equal to twice the radius of earth (Re). The increase in potential energy will be . (g is acceleration due to gravity at the surface of earth)

1. 12mgRe
2. 34mgRe
3. 14mgRe
4. 23mgRe

Eight mercury drops, each of radius r, coalesce to form a bigger drop. The surface energy released in this process is . (S is the surface tension of mercury).

1. 8 r2S
2. 16 r2S
3. 64 r2S
4. 4 r2S

An ideal gas at pressure P and temperature T is expanding such that PT3 = constant. The coefficient of volume expansion of the gas is .

1. 2T
2. 1T
3. 4T
4. 3T

Match List-I with List-II. Choose the correct answer from the options given below :

1. A-III, B-I, C-IV, D-II
2. A-II, B-I, C-III, D-IV
3. A-III, B-II, C-IV, D-I
4. A-II, B-I, C-IV, D-III

A metal rod of length L rotates about one end at origin with a uniform angular velocity . The magnetic field radially falls off as B(r)=B0e- r; being a positive constant. The emf induced (neglecting the centripetal force on electrons in the rod) is :

1. B0 [ 1 2-e- L ( 1 2+ L ) ]
2. B0 [ 1 2+e- L ( 1 2+ L ) ]
3. B0 [ 4 2-e-2 L ( 1 2+ 2L ) ]
4. B0 [ 3 2-e-3 L ( 3 2+ L ) ]

Under steady state condition the potential difference across the capacitor in the circuit is V. [figure]

1. 0.5
2. 1.5
3. 0
4. 2

A particle of charge q and mass m is projected from origin with an initial velocity v= ( v0 2 x+ v0 2 y ). There exists a uniform magnetic field B=B0 z and a space varying electric field E=E0e- x x within the region 0 x L. After travelling a distance such that x-coordinate has changed from x=0 to x=L, the change in the kinetic energy is .

1. qE0 [1-e- L ]
2. ( v0qB02 ) [2-e-2 L ]
3. qE0 [1+e- L ]
4. q ( E0+v0B0 ) [1-e- L/2 ]

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). In the light of the above statements, choose the correct answer from the options given below :

1. Both (A) and (R) are true and (R) is the correct explanation of (A)
2. Both (A) and (R) are true but (R) is not the correct explanation of (A)
3. (A) is true but (R) is false
4. (A) is false but (R) is true

A thin convex lens and a thin concave lens are kept in contact and are co-axial. Which of the following statements is correct for this combination of two lenses ?

1. behaves as concave lens if |fconvex|>|fconcave|
2. behaves as concave lens if |fconvex|<|fconcave|
3. behaves as convex lens if |fconvex|>|fconcave|
4. Focal length of the lens system will change if the positions of two lenses are interchanged

An object AB is placed 15 cm on the left of a convex lens P of focal length 10 cm. Another convex lens Q is now placed 15 cm right of lens P. If the focal length of lens Q is 15 cm, the final image is .

1. virtual, formed at 7.5 cm right of lens Q, with a size bigger than that of AB
2. real, formed at 7.5 cm right of lens Q, with a size same as that of AB
3. formed at infinity.
4. real, formed at 7 cm right of lens Q, with a size smaller than that of AB

The maximum intensity in a Young's double slit experiment is I0. Distance between the slits (d) is 5 , where is the wavelength of light used. The intensity of the fringe, exactly opposite to one of the slits on the screen, placed at D=10d is .

1. I04
2. I02
3. I0
4. 3I04

An electron is travelling with a velocity v in free space and when it enters a medium, its velocity is reduced by 20%. The de Broglie wavelength of electron in the medium is 0, where 0 is its de Broglie wavelength in free space. The value of is .

1. 1.20
2. 1.0
3. 1.25
4. 0.75

Assuming the experimental mass of 612C as 12 u, the mass defect of 612C atom is MeV/c2. (Mass of proton = 1.00727 u, mass of neutron = 1.00866 u, 1 u = 931.5 MeV/c2 and c is the speed of the light in vacuum).

1. 127.5
2. 89.03
3. 272.0
4. 92.0

In a semiconductor p-n diode, the doping concentrations on p-side and n-side are 1015 atoms/cm3 and 1018 atoms/cm3, respectively. Which one of the following statements is true ?

1. Widths of depletion region on either side of the interface are equal
2. The depletion region width is more on p-side compared to that in n-side
3. The depletion region width is more on n-side compared to that in p-side
4. No depletion region forms because of unequal doping concentrations on p and n-sides

A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is 600 10-6 m3. The elastic potential energy stored in the wire in stretched condition would be J. (Given Young modulus of copper = 1.1 1011 N/m2)

The heat extracted out of x gram of water initially at 50 °C to cool it down to 0 °C is sufficient to evaporate (1000-x) gram of water also initially at 50 °C. The value of x (closest integer) is . (Take latent heat of water 2256 kJ/kg, specific heat capacity of water 4200 J/kg. K)

A series LCR circuit with R=20 , L=1.6 H and C=40 F is connected to a variable frequency a.c. source. The inductive reactance at resonant frequency is .

When an external resistance of 5 is connected across terminals of a cell, a current of 0.25 A flows through it. When the 5 resistor is replaced by a 2 resistor, a current of 0.5 A flows through it. The internal resistance of the cell is .

A circular loop of radius 20 cm and resistance 2 is placed in a time varying magnetic field B= (2t2+2t+3 ) T. At t=0, for the plane of the loop being perpendicular to the magnetic field and, the induced current in the loop at t=3 s is 50 A. The value of is . (Take =22/7)

What volume of hydrogen gas at STP would be liberated by action of 50 mL of H2SO4 of 50% purity (density = 1.3 g mL-1) on 20 g of zinc? Given : Molar mass of H, O, S, Zn are 1, 16, 32, 65 g mol-1 respectively.

1. 5.824 L
2. 7.428 L
3. 6.892 L
4. 8.375 L

Which of the following statement(s) is/are true ? Choose the correct answer from the options given below :

1. A, B and C only
2. A and C only
3. C and D only
4. A only

The covalent radii of atoms A and B are rA and rB, respectively. The covalent bond length and total length of AB molecule are respectively

1. (rA + rB), 2(rA + rB)
2. 12(rA + rB), (rA + rB)
3. (rA + rB), (rA + rB)
4. 2(rA + rB), 12(rA + rB)

Consider the following data for the reaction X2(g) + Y2(g) 2XY(g) at 600 K. The rG (in kJ mol-1) for the reaction is : array|c|c|c| Compound & fH 600 K ( kJ mol-1) & S 600 K ( J mol-1 K-1) \ XY(g) & 42 & 200 \ X2(g) & 8 & 140 \ Y2(g) & 80 & 250 \ array

1. −21000
2. −10
3. −1000
4. −9.012

The correct order of molar heat capacities measured at 298 K and 1 bar is :

1. Copper(s) > Bromine(l) > Helium(g)
2. Bromine(l) > Copper(s) > Helium(g)
3. Helium(g) > Bromine(l) > Copper(s)
4. Helium(g) > Bromine(l) = Copper(s)

The reaction A(g) B(g) + C(g) was initiated with the amount 'a' of A(g). At equilibrium it is found that the amount of A(g) remaining is (a − x) at a total pressure of p. The equilibrium constant Kp of the reaction can be calculated from the expression :

1. x2a2 + x2 p
2. x2a2 - x2 p
3. a + x2x2 p
4. a2 - x2x2 p

One half cell in a voltaic cell is constructed by dipping silver rod in AgNO3 solution of unknown concentration, other half cell is Zn rod dipped in 1 molar solution of ZnSO4. A voltage of 1.60 V is measured at 298 K for this cell. What is the concentration of Ag+ ions used in terms of log x (x = [Ag+])? E Zn2+/Zn = −0.76 V, E Ag+/Ag = +0.80 V, 2.303RTF = 0.059 V

1. 23.9
2. 45.9
3. 2.92
4. 5.94

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below :

1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is true but Statement II is false
4. Statement I is false but Statement II is true

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below :

1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is true but Statement II is false
4. Statement I is false but Statement II is true

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below :

1. Both Statement I and Statement II are correct
2. Both Statement I and Statement II are incorrect
3. Statement I is correct but Statement II is incorrect
4. Statement I is incorrect but Statement II is correct

Identify the correct statements from the following Choose the correct answer from the options given below :

1. A, B, C, D and E
2. B, C and D only
3. A, C and D only
4. A, C and E only

Match List - I with List - II.

1. A-II, B-III, C-I, D-IV
2. A-II, B-IV, C-I, D-III
3. A-II, B-IV, C-III, D-I
4. A-IV, B-III, C-II, D-I

IUPAC name of the some alkenes are given below. Find out the correct stability order. Choose the correct answer from the options given below :

1. C > A > B > D
2. C > A > D > B
3. B > D > A > C
4. A > B > C > D

Identify the correct IUPAC name of hydrocarbon (x) containing three primary carbon atoms and with molar mass 72 g mol-1.

1. 1, 1 - Dimethylcyclopropane
2. 2, 2 - Dimethylpropane
3. 2 - Methylbutane
4. n-pentane

Complete the following reaction sequence and give the name of major product 'P'. [figure]

1. 2-Chloropropanoic acid
2. 3-Chloropropanoic acid
3. 1-Chloropropane
4. 2-Chloropropane

Given below are two statements: In the light of the above statements, choose the correct answer from the options given below:

1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is true but Statement II is false
4. Statement I is false but Statement II is true

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below :

1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is true but Statement II is false
4. Statement I is false but Statement II is true

Identify the incorrect statement about tertiary structure of proteins.

1. They can be fibrous or globular in structure.
2. The main forces that stabilize the structure are hydrogen bonding, disulphide links, van der Waals and electrostatic forces of attraction.
3. The structure remains intact when exposed to pH changes.
4. A linear polypeptide chain will convert to a secondary structure and then further folding of the secondary structure will convert to tertiary structure.

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below :

1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is true but Statement II is false
4. Statement I is false but Statement II is true

A paper dipped in a dil. H2SO4 solution of 'X' upon treatment with SO2 gas turns into green. The compound 'X' is :

1. KI-starch
2. KMnO4
3. Pb(CH3COO)2
4. K2Cr2O7

The total number of unpaired electrons present in the d3, d4 (low spin) d5 (high spin), d6 (high spin) and d7 (low spin) octahedral complex systems is .

RMgI when treated with ice cold water liberated a gas which occupied 1.4 dm3/g at STP. The gas produced is further reacted with iodine in presence of HIO3 to give compound (X). Compound (X) in presence of Na and dry ether produced compound (Y). Molar mass of compound (Y) is g mol-1. (Nearest integer)

20 g hemoglobin in a 1 L aqueous solution (A) at 300 K is separated from pure water by semi permeable membrane. At equilibrium the height of solution in a tube dipped in a solution (A) is found to be 80.0 mm higher than the tube dipped in water. The molar mass of hemoglobin is kg mol-1. (Nearest integer) (Given : g = 10 m s-2, R = 8.3 kPa dm3 K-1 mol-1, density of solution = 1000 kg m-3)

At 298 K, the molar conductivity of x% (w/w) MX solution (aqueous) is 123.5 S cm2 mol-1. The conductance of same solution is 1.9 10-3 S. The value of x is 10-2. (Given: cell constant = 1.3 cm-1; molar mass of MX is 75 g mol-1, density of aqueous solution of MX at 298 K is 1.0 g mL-1)

For a reaction A → P at T K, the half life (t1/2) is plotted as a function of initial concentration [A]0 of A as given below. [figure] The value of x in the given figure is s (Nearest integer)

Let , be the roots of the equation x2-x+p=0 and , be the roots of the equation x2-4x+q=0; p, q Z. If , , , are in G.P., then |p+q| equals :

1. 16
2. 32
3. 34
4. 38

Let z1, z2 C be the distinct solutions of the equation z2+4z-(1+12i)=0. Then |z1|2+|z2|2 is equal to :

1. 18
2. 22
3. 29
4. 34

If f : N Z is defined by f(n)= vmatrixn & -1 & -5\ -2n2 & 3(2k+1) & 2k+1\ -3n3 & 3k(2k+1) & 3k(k+2)+1 vmatrix, k N, and n=1k f(n)=98, then k is equal to :

1. 3
2. 4
3. 5
4. 6

Let M be a 3 3 matrix such that M bmatrix1\ 0\ 0 bmatrix= bmatrix1\ 2\ 3 bmatrix, M bmatrix0\ 1\ 0 bmatrix= bmatrix0\ 1\ 2 bmatrix and M bmatrix0\ 0\ 1 bmatrix= bmatrix-1\ 1\ 1 bmatrix. If M bmatrixx\ y\ z bmatrix= bmatrix1\ 7\ 11 bmatrix, then x+y+z equals :

1. 4
2. 5
3. 7
4. 11

If the sum of the first 10 terms of the series 11+14 4+ 21+24 4 + 31+34 4+ 41+44 4+ is mn, (m, n)=1, then m+n is equal to :

1. 256
2. 264
3. 276
4. 284

Let A1, A2, A3, , A39 be 39 arithmetic means between the numbers 59 and 159. Then the mean of A25, A28, A31 and A36 is equal to :

1. 129
2. 136
3. 131.50
4. 134

The coefficient of x2 in the expansion of (2x2+ 1x )10, x 0, is :

1. 3240
2. 3360
3. 3480
4. 3600

The probabilities that players A and B of a team are selected for the captaincy for a tournament are 0.6 and 0.4, respectively. If A is selected the captain, the probability that the team wins the tournament is 0.8 and if B is selected the captain, the probability that the team wins the tournament is 0.7. Then the probability, that the team wins the tournament, is :

1. 0.74
2. 0.76
3. 0.72
4. 0.78

A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each colour, is :

1. 4100
2. 4140
3. 4230
4. 4290

A variable X takes values 0, 0, 2, 6, 12, 20, , n(n-1) with frequencies nC0, nC1, nC2, nC3, nC4, nC5, , nCn, respectively. If the mean of this data is 60, then its median is :

1. 56
2. 42
3. 72
4. 90

Let the point P be the vertex of the parabola y=x2-6x+12. If a line passing through the point P intersects the circle x2+y2-2x-4y+3=0 at the points R and S, then the maximum value of (PR+PS)2 is :

1. 10
2. 20
3. 25
4. 5

Let the directrix of the parabola P : y2=8x, cut x-axis at the point A. Let B( , ), >1, be a point on P such that the slope of AB is 3/5. If BC is a focal chord of P, then six times the area of ABC is :

1. 80
2. 160
3. 174
4. 192

Let the eccentricity e of a hyperbola satisfy the equation 6e2-11e+3=0. If the foci of the hyperbola are (3, 5) and (3, -4), then the length of its latus rectum is :

1. 113
2. 173
3. 152
4. 172

Let a triangle PQR be such that P and Q lie on the line x+38= y-42= z+12 and are at a distance of 6 units from R(1, 2, 3). If ( , , ) is the centroid of PQR, then + + is equal to :

1. 4
2. 5
3. 6
4. 8

If the distance of the point (a, 2, 5) from the image of the point (1, 2, 7) in the line x1= y-11= z-22 is 4, then the sum of all possible values of a is equal to :

1. 11
2. 9
3. 6
4. 4

Let O be the origin, OP= a and OQ= b. If R is the point on OP such that OP=5 OR, and M is the point such that OQ=5 RM, then PM is equal to :

1. 15 ( a-4 b )
2. 15 ( b-4 a )
3. 15 (- a+4 b )
4. 15 (- b+4 a )

Let f(x)= y 0 (1- (xy)) (xy)y3. Then the number of solutions of the equation f(x)= x, x R is :

1. 0
2. 2
3. 3
4. 1

Let (21-a+21+a ), f(a), (3a+3-a ) be in A.P. and be the minimum value of f(a). Then the value of the integral e( -1) e( ) dx (e2x-e-2x ) is :

1. 12 e ( 43 )
2. 14 e ( 43 )
3. 12 e ( 85 )
4. 14 e ( 85 )

Let f : [1, ) R be a differentiable function defined as f(x)= 1x f(t) dt +(1-x) ( e x-1 )+e. Then the value of f(f(1)) is :

1. (1+ee )
2. (1+e)
3. (1+e+ee )
4. 1+2e

Let f(x) and g(x) be twice differentiable functions satisfying f''(x)=g''(x) for all x R, f'(1)=2g'(1)=4 and g(2)=3f(2)=9. Then f(25)-g(25) is equal to :

1. 20
2. 40
3. -20
4. -40

Let A=\1, 4, 7\ and B=\2, 3, 8\. Then the number of elements, in the relation R=\((a1, b1), (a2, b2)) ((A B) (A B)) : a1+b2 divides a2+b1\ is .

From the point (-1, -1), two rays are sent making angles of 45 with the line x+y=0. These rays get reflected from the mirror x+2y=1. If the equations of the reflected rays are ax+by=9 and cx+dy=7, a, b, c, d Z, then the value of ad+bc is .

If S= \ [- , ] : . . 5 2= 7 7 2 \, then n(S) is equal to .

Let f : R R be a function such that f(x)+3f ( 2-x )= x, x R. Let the maximum value of f on R be . If the area of the region bounded by the curves g(x)=x2 and h(x)= x3, >0, is 2, then 30 3 is equal to .

Let y=y(x) be the solution of the differential equation ( x)1/2 dy= ( 3x-( x)3/2y )dx, 0<x< 2, y ( 4 )= 6 25. If y ( 3 )= 45 , then 4 equals .