JEE Main 2026 PYQ

For the two cells having same EMF and internal resistance , the current passing through the external resistor is same when both the cells are connected either in parallel or in series. The value of in

In an open organ pipe and are and harmonic frequencies, respectively. If then length of the pipe is mm. (Take velocity of sound in air is .)

A wire of uniform resistance is bent into a circle of radius and another piece of wire with length is connected between points and as shown in figure. The equivalent resistance between points and is .

The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is . The terminal velocity of another ball of same material and having radius 3 mm in the same fluid will be .

A parallel plate air capacitor has a capacitance C. When it is half filled as show in figure with a dielectric constant K = 5, the percentage increase in the capacitance is _________.[JEE Main 2 apr 2

A block of mass 5 kg is moving on an inclined plane which makes an angle of with the horizontal. Friction coefficient between the block and inclined plane surface is . The force to be applied on the b

Match the LIST-I with LIST-II List-I List-II A. Spring constant I. B. Thermal conductivity II. C. Boltzmann constant III. D. Inductive reactance IV. Choose the correct answer from the options given be

Two charged conducting spheres and of radii 8 cm and 18 cm are connected to each other by a wire. After equilibrium is established, the ratio of electric fields on and spheres are and respectively. Th

Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio of the potentials on one initial bubble and that on the resultant bigger bubble is :

A point charge is located at a distance 2 cm from one end of a thin insulating wire of length 10 cm having a charge , distributed uniformly along its length, as shown in figure. Force between and wire

Two known resistances of and and one unknown resistance are connected in a circuit as shown in the figure. If the equivalent resistance between points and in the circuit is , then the value of _______

Refer to the figure given below. The values of , and are ________.[JEE Main 5 Apr 2026 Shift 1]

Given below are two statements: Statement I: Pressure of a fluid is exerted only on a solid surface in contact as the fluid-pressure does not exist everywhere in a still fluid. Statement II: Excess po

A Wheatstone bridge is initially at room temperature and all arms of the bridge have same value of resistances ( ). When resistance is heated to some temperature, its resistance value has gone up by .

Three charges and are situated at and respectively in the plane. The resultant dipole moment about origin is .

Given below are two statements : Statement I : An object moves from position to position under a conservative force field . The work done by the force is . Statement II: Any object moving from one loc

Two blocks with masses 100 g and 200 g are attached to the ends of springs and as shown in figure. The energy stored in is . The energy stored in , when spring constants of and , respectively satisfy

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason RAssertion A : In electrostatics, a conductor does not store any net charge inside.Reason R : Inside

Two loudspeakers and are placed with a separation of 10 m , as shown in figure. Both speakers are fed with an audio input signal of same frequency with constant volume. A voice recorder, initially at

A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increased by 8 times, the intensity will

A block is sliding down on an inclined plane of slope and at an instant this block is given an upward momentum so that it starts moving up on the inclined surface with velocity . The distance travelle

A parallel plate capacitor has capacitance , when there is vacuum within the parallel plates. A sheet having thickness of the separation between the plates and relative permittivity is introduced betw

Electric field in a region is given by , where and . If the electric potential at a point is 500 V , then the electric potential at origin is V.

A simple pendulum has a bob with mass and charge . The pendulum string has negligible mass. When a uniform and horizontal electric field is applied, the tension in the string changes. The final tensio

A hypothetical gas expands adiabatically such that its volume changes from 08 litres to 27 litres. If the ratio of final pressure of the gas to initial pressure of the gas is . Then the ratio of will

An object is projected with kinetic energy from a point at an angle with the horizontal. The ratio of the difference in kinetic energies at points and to that at point (see figure), in the absence of

In case of vertical circular motion of a particle by a thread of length if the tension in the thread is zero at an angle shown in figure, the velocity at the bottom point of the circular path is ( gra

Refer to the figure given below, current between terminals A and B is _______A.[JEE Main 5 Apr 2026 Shift 1]

A small metallic sphere of diameter 2 mm and density is dropped in glycerine having viscosity 10 Poise and density respectively. The terminal velocity attained by the sphere is . ( and )

The heat generated in 1 minute between points and in the given circuit, when a battery of 9 V with internal resistance of is connected across these points is J.

In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division , then the least count of the vernier callipers is mm. [24 Jan 2026 Shift 2]

A particle of mass falls from rest through a resistive medium having resistive force, , where is the velocity of the particle and is a constant. Which of the following graphs represents velocity versu

Identify the correct statements: A. Electrostatic field lines form closed loops. B. The electric field lines point radially outward when charge is greater than zero. C. The Gauss - Law is valid only f

Two metal plates (A,B) are kept horizontally with separation of cm, with plate A on the top. An atomizer jet sprays oil (density ) droplets of radius 1mm horizontally. All oil droplets carry a charge

A ball of radius and density dropped through a viscous liquid of density and viscosity attains its terminal velocity at time , given by , where is a constant and and are integers. The value of is .

Two tuning forks and are sounded together giving rise to 8 beats in 2 s . When fork is loaded with wax, the beat frequency is reduced to 4 beats in 2 s . If the original frequency of tuning fork is 38

In the given figure the blocks and weigh and 8 kg respectively. The co-efficient of sliding friction between any two surfaces is 0.5 . The force required to slide the block with constant speed is N .

Two cells of emfs 1V and 2V and internal resistance 2Ω and 1Ω, respectively connected in parallel, gave current of 1A through an external resistance. If the polarity of one cell is reversed, then valu

The electrostatic potential in a charged spherical region of radius varies as , where and are constants. The total charge in the sphere of unit radius is . The value of is . (permittivity of vacuum is

There are three co-centric conducting spherical shells and of radii and respectively ( ) and they are charged with charge and respectively. The potentials of the spheres and respectively, are :

The reading of the ammeter ( ) in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is A.

A capacitor with capacitance is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged capacitor is connected across another capacitor with capacitance . The

A spring of force constant is cut into two pieces. If the ratio of their length is , then the force constant of smaller piece is .

Potential energy ( ) versus distance ( ) is given by the graph. Rank various regions as per the magnitudes of the force ( ) acting on a particle from high to low.

A flexible chain of mass hangs between two fixed points at the same level. The inclination of the chain with the horizontal at the two points of support is . Considering the equilibrium of each half o

Match List - I with List - II. List -1 List - II A. Coefficient of viscosity B. Surface tension C. Pressure D. Surface energy I. II. III. IV. Choose the correct answer from the options given below : [

A spherical body of radius and density falls freely through a viscous liquid having density and viscosity and attains a terminal velocity . Estimated maximum error in the quantity is : (Ignore errors

The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is . The value of is

The electric potential as a function of x, y is given by . The electric field at a point (2, 3) m is ______ V/m.[JEE Main 6 Apr 2026 shift 2]

Four persons measure the length of a rod as and 18.25 cm . The relative error in the measurement of average length of the rod is : [23 Jan 2026 Shift 1]

An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at . The coefficient of linear expansion of aluminium and steel are and , respectively. The

Surface tension of two liquids (having same densities), and , are measured using capillary rise method utilizing two tubes with inner radii of and where . The measured liquid heights in these tubes ar

The total length of potentiometer wire AB is 50 cm in the arrangement as shown in the figure. If is the point where the galvanometer shows zero reading then the length is cm.

Two strings having linear densities and, and lengths and respectively are joined. Free ends of and are tied to two rigid supports and , respectively creating a tension of 500 N in the wire. Two identi

Two resistors of each are connected in series with a 9 V battery. A voltmeter of resistance is connected to measure the voltage drop across one of the resistors. The voltmeter reading is V.

The speed of a longitudinal wave in a metallic bar is . If the density and Young's modulus of the bar material are increased by and , respectively then the speed of the wave is changed approximately t

The equivalent resistance between the points and in the following circuit is . The value of is 。

The space between the plates of a parallel plate capacitor of capacitance C (without any dielectric) is now filled with three dielectric slabs of dielectric constants and (as shown in figure). If new

A cubical block of density floats in a liquid of density . If the height of block is then height of the submerged part is cm .

A point charge of is placed at origin. The work done in moving a point charge from point to is J. in Sl units)

The escape velocity from a spherical planet is . The escape velocity from another planet whose density and radius are of those of planet , is .

Two wires and made of different materials of lengths 6.0 cm and 5.4 cm , respectively and area of cross sections and , respectively are stretched by the same magnitude under a given load. The ratio of

Two charges and are placed at and respectively in an external field , where . Considering the potential at infinity is 0 , the electrostatic energy of the configuration is J.

A battery with EMF and internal resistance is connected across a resistance . The power consumption in will be maximum when:

Consider a modified Bernoulli equation. If has the dimension of time then the dimensions of and are , respectively. [21 Jan 2026 Shift 1]

A meter bridge with two resistances and as shown in figure was balanced (null point) at 40 cm from the point . The null point changed to 50 cm from the point , when resistance is connected in parallel

Two shorts dipoles having charges and length 1 cm and having charges and length 1 cm are placed with their centres 80 cm apart as shown in the figure. The electric field at a point , equi-distant from

Water flows through a horizontal tube as shown in the figure. The difference in height between the water columns in vertical tubes is 5 cm and the area of cross-sections at and are and respectively. T

The voltage and the current between A and B points shown in the circuit are ________.[JEE Main 4 Apr 2026 Shift 1]

In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their metallic studs are brought in contact. Using this instrument thickness of a sheet is measur

A simple pendulum of string length 30 cm performs 20 oscillations in 10 s . The length of the string required for the pendulum to perform 40 oscillations in the same time duration is cm . [Assume that

Six point charges are kept apart from each other on the circumference of a circle of radius as shown in figure. The net electric field at the center of the circle is . ( is permittivity of free space)

A bead sliding on a frictionless semi-circular string and it is at point at and at this instant the horizontal component of its velocity is . Another bead of the same mass as is ejected from point at

Initially a satellite of 100 kg is in a circular orbit of radius . This satellite can be moved to a circular orbit of radius by supplying of energy The value of is . (Take Radius of Earth and )

Two point charges of 1 nC and 2 nC are placed at the two corners of equilateral triangle of side 3 cm . The work done in bringing a charge of 3 nC from infinity to the third corner of the triangle is

A thin half ring of radius 35 cm is uniformly charged with a total charge of Q coulomb. If the magnitude of the electric field at centre of the half ring is 100 V/m, then the value of Q is ______ nC.

Net gravitational force at the center of a square is found to be when four particles having mass and are placed at the four corners of the square as shown in figure and it is when the positions of and

As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses 1 kg and 0.2 kg with a separation more than spring natural length and are released. Assuming

A body of mass 2 kg is moving along -direction such that its displacement as function of time is given by , where and . The work done on the body during the time interval to , is J.

Two point charges and are placed at vertex and centre of face of the cube as shown in figure. The electric flux passing through the cube is:

A small block of mass slides down from the top of a frictionless inclined surface, while the inclined plane is moving towards left with constant acceleration . The angle between the inclined plane and

A cylindrical block of mass and area of cross section is floating in a liquid of density and with its axis vertical. When depressed a little and released the block starts oscillating. The period of os

A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of 2 mm and maintaining the connections of the plates with the terminals of the battery, it i

A cylindrical conductor of length 2 m and area of cross-section carries an electric current of 1.6 A when its ends are connected to a 2 V battery. Mobility of electrons in the conductor is . s. The va

A large drum having radius is spinning around its axis with angular velocity , as shown in figure.The minimum value of so that a body of mass remains stuck to the inner wall of the drum, taking the co

A regular hexagon is formed by six wires each of resistance and the corners are joined to the centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner,

Three masses and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m . They are rearranged on the vertices of a bigger triangle of side 25 m and with the same centre. The work

A brass wire of length 2 m and radius 1 mm at is held taut between two rigid supports. Initially it was cooled to a temperature of creating a tension in the wire. The temperature to which the wire has

Sixty four rain drops of radius 1 mm each falling down with a terminal velocity of coalesce to form a bigger drop. The terminal velocity of bigger drop is .

A sphere of capacitance 100 pF is charged to a potential of 100V. Another identical undercharged metal sphere is brought in contact with the charged sphere, then the change in the total energy stored

The strain-stress plot for materials and is shown in the figure. Which material has the largest Young's modulus ?

In the potentiometer, when the cell in the secondary circuit is shunted with resistance, the balance is obtained at the length 120 cm of wire. Now when the same cell is shunted with resistance, the ba

Using a simple pendulum experiment is determind by measuring its time period . Which of the following plots represent the correct relation between the pendulum length and time period ?

Which one of the following is not a measurable quantity?

The kinetic energy of a simple harmonic oscillator is oscillating with angular frequency of . The frequency of this simple harmonic oscillator is Hz. [ take ]

Two cars and each of mass are moving on parallel tracks separated by a distance of 10 m , in same direction with speeds and . The magnitude of angular momentum of car with respect to car is .

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

Two short electric dipoles A and B having dipole moment and respectively are placed with their axis mutually perpendicular as shown in the figure. The resultant electric field at a point x is making a

A moving coil galvanometer of resistance shows a full scale deflection for a current of 1 mA . The value of resistance required to convert this galvanometer into an ammeter, showing full scale deflect

When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height . If the inner radius of the capillary tube, density of the liquid and surface tension

The displacement of a particle, executing simple harmonic motion with time period , is expressed as , where is the amplitude. The maximum value of potential energy of this oscillator is found at . The

A boy throws a ball into air at from the horizontal to land it on a roof of a building of height . If the ball attains maximum height in 2 s and lands on the building in 3 s after launch, then value o

Two resistors of 200 Ω and 400 Ω are connected in series with a battery of 100 V. A bulb rated at across the 200 V, 100 W is connected 400 Ω resistance. The potential drop across the bulb is _______V.

Keeping the significant figures in view, the sum of the physical quantities and 0.123 m is : [21 Jan 2026 Shift 2]

A projectile is thrown upward at an angle with the horizontal. The speed of the projectile is when its direction of motion is with the horizontal. The initial speed of the projectile is . [22 Jan 2026

Given below are two statements : Statement I: A satellite is moving around earth in the orbit very close to the earth surface. The time period of revolution of satellite depends upon the density of ea

A parallel plate air capacitor is connected to a battery. The plates are pulled apart at uniform speed v. If x is the separation between the plates at any instant, then the time rate of change of elec

Five positive charges each having charge are placed at the vertices of a pentagon as shown in the figure. The electric potential ( ) and the electric field ( ) at the center of the pentagon due to the

A capacitor C is first charged fully with potential difference of and disconnected from the battery. The charged capacitor is connected across an inductor having inductance L . In of the initial energ

Three parallel plate capacitors each with area and separation are filled with two dielectric ( and ) in the following fashion. Which of the following is true?

A rigid dipole undergoes a simple harmonic motion about its centre in the presence of an electric field . If another electric field is introduced to the system, what will be the percentage change in t

Two point charges 8μC and –2μC are located at x = 2 cm and x = 4 cm, respectively on the x-axis. The ratio of electric flux due to these charges through two spheres of radii 3 cm and 5 cm with their c

From the circuit given below, the capacitance between terminals A and B shown in the circuit is ____μF. (take and )[JEE Main 4 Apr 2026 Shift 2]

Under steady state condition the potential difference across the capacitor in the circuit is____V.[JEE Main 5 April 2026 Shift 2]

The velocity of sound in air is doubled when the temperature is raised from to . The value of is 。

A river of width 200 m is flowing from west to east with a speed of . A boat, moving with speed of in still water, is made to travel one-round trip (bank to bank of the river). Minimum time taken by t

Refer to the circuit diagram given below. The heat generated across the 6 Ω resistance in 100 second is . The value of α is _______. (Nearest integer)[JEE Main 6 Apr 2026 shift 1]

A soap bubble of surface tension is blown to a diameter of 7 cm . If of work is done in blowing it further to make its diameter 14 cm , then the value of is 。

In a meter bridge experiment to determine the value of unknown resistance, first the resistances and are connected in the left and right gaps of the bridge and the null point is obtained at a distance

A 4 kg mass moves under the influence of a force where is the time in second. If mass starts from origin at , the velocity and position after will be:

A voltmeter with internal resistance of x Ω can be used to measure upto 20 V. In order to increase its measuring range to 30 V, the required modification is to ________.[JEE Main 4 Apr 2026 Shift 1]

A parallel plate capacitor is having separation between plates 0.885 mm. It has a capacitance of 1μF when the space between the plates is filled with an insulating material of resistivity and resistan

Two resistors and are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire . When an unknown resistor is connected in paralle

An electric power line having total resistance of , delivers 1 kW of power at 250 V - The percentage efficiency of transmission line is .

Identify the correct statements: A. Effective capacitance of a series combination of capacitors is always smaller than the smallest capacitance of the capacitor in the combination. B. When a dielectri

To compare EMF of two cells using potentiometer the balancing lengths obtained are 200 cm and 150 cm . The least count of scale is 1 cm . The percentage error in the ratio of EMFs is

If and represent the free space permittivity, electric field and time respectively, then the unit of will be : [22 Jan 2026 Shift 2]

A three coulomb charge moves from the point (0, –2, –5) to the point (5, 1, 2) in an electric field expressed as . The work done in moving the charge is ________ J.[JEE Main 6 Apr 2026 shift 1]

In an experiment the values of two spring constants were measured as and . If these springs are connected in parallel, then the percentage error in equivalent spring constant is : [21 Jan 2026 Shift 1

Consider two identical metallic spheres of radius each having charge and mass . Their centers have an initial separation of . Both the spheres are given an initial speed of towards each other. The min

Two point charges and are placed at points and respectively. Force on charge is _________ N. [JEE Main 8 apr 2026 shift 2]

When both jaws of vernier callipers touch each other, zero mark of the vernier scale is right to zero mark of main scale, mark on vernier scale coincides with certain mark on the main scale. While mea