JEE Main 2016 PYQ

A 50 Ω resistance is connected to a battery of 5 V. A galvanometer of resistance100 Ω is to be used as an ammeter to measure current through the resistance, for this a resistance is connected to the g

A cubical block of side 30 cm is moving with velocity on a smooth horizontal surface. The surface has a bump at a point O as shown in figure. The angular velocity (in rad/s) of the block immediately a

Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingred

In the circuit shown, the resistance r is a variable resistance. If for , the heat generation in r is maximum then the value of f is :[Main 9 Apr 2016]

An astronaut of mass is working on a satellite orbiting the earth at a distance from the earth’s surface. The radius of the earth is , while its mass is . The gravitational pull on the astronaut is[Ma

A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends of this conical wire, have values R and 3R,

The potential (in volts) of a charge distribution is given by for for V(z) does not depend on x and y. If this potential is generated by a constant charge per unit volume (in units ) which is spread o

Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point A and B is to be [Main 10 Apr 2016]

A galvanometer having a coil resistance of 100 Ω gives a full scale deflection, when a current of 1 mA is passed through it. The value of the resistance, which can convert this galvanometer into ammet

A neutron moving with a speed makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy of the neutron for which inelastic collision will take place is :[Ma

Two engines pass each other moving in opposite directions with uniform speed of 30 m/s. One of them is blowing a whistle of frequency 540 Hz. Calculate the frequency heard by driver of second engine b

In an engine the piston undergoes vertical simple harmonic motion with amplitude 7 cm. A washer rests on top of the piston and moves with it. The motor speed is slowly increased. The frequency of the

A toy-car, blowing its horn, is moving with a steady speed of 5 m/s, away from a wall.An observer, towards whom the toy car is moving, is able to hear 5 beats per second.If the velocity of sound in ai

A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD=C ln(BD) holds true. Then which of the combination is

Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are same and equal to A and T, respectively. A

A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminium. Before starting the measurement, it is found that when the tw

A galvanometer has a division scale.Battery has no internal resistance. It isfound that there is deflection of divisions when . Deflection becomes 20 divisions when resistance taken fromresistance box

Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is he area of the ellipse. (See figure) With db as the semimajor axis, and ca as the semiminor axis. I

A satellite is revolving in a circular orbit at a height ‘h’ from the earth’s surface (radius of earth R; h < < R).The minimum increase in its orbital velocity required, so that the satellite could es

Consider a water jar of radius R that has water filled up to height H and is kept on a stand of height h (see figure). Through a hole of radius r (r < < R) at its bottom, the water leaks out and the s

A thin 1 m long rod has a radius of .A force of is applied at one end to determine its Young’s modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is

A point particle of mass m, moves along the uniformly rough track PQR as shown in the figure. The coefficient of friction, between the particle and the rough track equals μ.The particle is released, f

A roller is made by joining together two cones at their vertices O. It is kept on two rails AB and CD which are placed asymmetrically (see figure), with its axis perpendicular to CD and its centre O a

A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge Q (having a charge equal to the sum of the charges on the 4 μF and 9 μF capacit

Three capacitors each of 4 µF are to be connected in such a way that the effective capacitance is 6 µF. This can be done by connecting them :[Main 9 Apr 2016]

A particle of mass m is moving along the side of a square of side ‘a’, with auniform speed v in the x-y plane as shown in the figure :Which of the following statements is false for the angular momentu

Which of the following option correctly describes the variation of the speed v and acceleration ‘a’ of a point mass falling vertically in a viscous medium that applies a force where ‘k’ is a constant,

200 g water is heated from 40°C to 60°C.Ignoring the slight expansion of water, the change in its internal energy is close to(Given specific heat of water=4184 J/kg/K) :[Main 9 Apr 2016]

A Carnot freezer takes heat from water at 0°C inside it and rejects it to the room at a temperature of 27°C. The latent heat of iceis . If 5 kg of water at 0°C is converted into ice at 0°C by the free

Velocity-time graph for a body of mass 10 kg is shown in figure. Work-done on the body in first two seconds of the motionis :[Main 10 Apr 2016]

A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle θ with the horizontal, a poin

A uniform string of length 20 m is suspended from a rigid support. A short wave pulse is introduced at its lowest end. It starts moving up the string. The time taken to reach the support is : [Main 20

A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2s at . If the temperature of the wire is increased and the corresponding change in its time period is

A particle of mass is acted upon by a force given by the empirical law .If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot :[Main 10 Apr 201

A car of weight W is on an inclined road that rises by 100 m over a distance of 1 km and applies a constant frictional force on the car. While moving uphill on the road at a speed of , the car needs p

A pendulum clock loses 12 s a day if the temperature is 40°C and gains 4 s a day if the temperature is 20°C The temperature at which the clock will show correct time, and the co-efficient of linear ex

The ratio of work done by an ideal monoatomic gas to the heat supplied to itin an isobaric process is :[Main 9 Apr 2016]

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will

In the figure shown ABC is a uniform wire.If centre of mass of wire lies vertically below point A, then is close to :[Main 10 Apr 2016]

The region between two concentric spheres of radii ‘a’ and ‘b’, respectively (see figure), has volume charge density A where A is a constant and r is the distance from the centre. At the centre of the

The resistance of an electrical toaster has a temperature dependence given by in its range of operation.At and at .The toaster is connected to a voltage source at 200 V and its temperature is raised a

A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by where n is a constant. The power delivered to the particle by the for

Which of the following shows the correct relationship between the pressure ‘P’ and density of an ideal gas at constant temperature ?[Main 10 Apr 2016]

‘n’ moles of an ideal gas undergoes a process A → B a shown in the figure. The maximum temperature of the gas during the process will be : [Main 2016]

A particle performs simple harmonic motion with amplitude A. Its speed is trebled at the instant that it is at a distance from equilibrium position. The new amplitude of the motion is :[Main 2016]

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90s,91s, 95s and 92s. If the minimum division in the measuring clock is 1s, then the reported me

Within a spherical charge distribution of charge density ,N equipotential surfaces of potential , are drawn and have increasing radii , respectively. If the difference in the radii of the surfaces is

An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity C remains constant. If during this process the relation of pressure P and volume V is given by = constant, th

A pipe open at both ends has a fundamental frequency f in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now :[Main 2016]

In the following ‘I’ refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity :[Main 9 Apr 2016]

A bottle has an opening of radius a and length b. A cork of length b and radius(a+∆a) where (∆a < < a) is compressed to fit into the opening completely (See figure).If the bulk modulus of cork is B an