JEE Main Practice Set 1

A force F = (5i + 3j + 2k) N is applied over a particle which displaces it from origin to the point r = (2i − j) m. The work done is:

A block rests on a rough inclined plane making an angle 30° with horizontal. If frictional force on the block is 10 N, mass of block is:

A uniform chain of length 2 m is kept on a table such that 60 cm hangs freely. Work done in pulling the chain on table is:

Two masses 5 kg and 4.8 kg tied over a frictionless pulley. Acceleration is:

A machine gun fires bullets of mass 40 g with velocity 1200 m/s. Maximum bullets fired per second is:

Correct dimensions of coefficient of viscosity are:

A particle moves with retardation proportional to displacement. Loss of kinetic energy is proportional to:

A ball is released from top of tower height h. Position after T/3 seconds is:

If A × B = B × A then angle between vectors is:

For same range projectile, product of time of flights is proportional to:

False statement for uniform circular motion is:

A car stops within 20 m at 60 km/h. At 120 km/h stopping distance is:

Instantaneous power delivered to uniformly accelerated body is:

Force always perpendicular to velocity implies:

If radius of rotating sphere increases keeping mass same, what remains unchanged?

A ball is projected and a man runs with speed v₀/2 to catch it. Angle of projection is:

For solid and hollow spheres of same mass and radius:

Orbital speed of satellite at height x is:

Time period of earth satellite is independent of:

Gain in potential energy when body raised to height R from earth surface is:

The rate of heat transfer through the composite slab is equal to:

A radiation of energy E falls normally on a perfectly reflecting surface. The momentum transferred is:

Two thermally insulated vessels containing gases are connected. Temperature at equilibrium will be:

Which statement is correct for any thermodynamic system?

If temperature of sun increases from T to 2T and radius from R to 2R, radiation received on earth becomes:

One mole monoatomic gas mixed with one mole diatomic gas. γ of mixture is:

In forced oscillation, amplitude is maximum at frequency ω₁ while energy maximum at frequency ω₂:

Time displacement of forced oscillator is proportional to:

The wave equation y = 10⁻⁶ sin(100t + 20x + π/4). Wave speed is:

The total energy of a particle executing SHM is:

If gravitational force varies inversely as nth power of distance, time period varies as:

Work done in stretching a wire by force F through extension l is:

Retarding viscous force on spherical ball is:

If two soap bubbles are connected by a tube:

Pendulum oscillates in water. Relation between periods is:

Time period with two springs in series is:

For total internal reflection in prism, refractive index n satisfies:

A plano convex lens silvered at curved surface forms real image of same size when object placed at:

Angle of incidence for complete polarization from air to glass is:

Maximum possible interference maxima for slit separation twice wavelength is:

Thermistors are usually made of:

In a metre bridge, null point is at 20 cm when resistance X is balanced against Y. If X < Y, new null point when X is balanced against 4X is:

Two wires of same material are connected in parallel. Their lengths and radii are in ratio 4/3 and 2/3. Ratio of currents is:

Series combination of two resistances is S and parallel combination is P. If S = nP, minimum value of n is:

The total current supplied to the given circuit by the battery is:

Alternating current cannot be measured by D.C. ammeter because:

Four charges equal to −Q are placed at corners of a square and charge q is at centre. For equilibrium, q is:

A charged particle q is shot towards fixed charge Q with speed v. It approaches up to distance r and returns. If q is given speed 2v, closest distance is:

Two spherical conductors B and C of equal radii carry equal charges and repel with force F. An uncharged conductor A is touched with B, then C, and removed. New force is:

An electromagnetic wave of frequency 3.0 MHz passes from vacuum into dielectric medium of relative permittivity 4. Then:

When p-n junction diode is forward biased:

The manifestation of band structure in solids is due to:

Copper and germanium are cooled from room temperature to 77 K. Resistance of:

For a transistor amplifier in common emitter configuration, load impedance is 1 kΩ, hfe = 50 and hoe = 25. Current gain is:

When npn transistor is used as an amplifier:

An alpha particle of energy 5 MeV is scattered through 180° by uranium nucleus. Closest distance is of order:

Binding energy per nucleon of deuteron and helium nucleus are 1.1 MeV and 7 MeV. Energy released when two deuterons form helium is:

A nucleus disintegrates into two parts with velocities in ratio 2:1. Ratio of their nuclear sizes is:

A charged oil drop is suspended in electric field 3 × 10⁴ V/m. Mass is 9.9 × 10⁻¹⁵ kg and g = 10 m/s². Charge is:

Work function of a substance is 4.0 eV. Longest wavelength causing photoelectric emission is approximately:

Time taken by a 836 W heater to heat one litre of water from 10°C to 40°C is:

The thermo emf of a thermocouple varies with temperature θ as E = aθ + bθ². If a/b = 700°C, then neutral temperature is:

The electrochemical equivalent of a metal is 3.3 × 10⁻⁷ kg/C. Mass liberated when 3 A current passes for 2 seconds is:

A current i ampere flows along an infinitely long straight thin-walled tube. Magnetic induction at any point inside the tube is:

A long wire carrying current is bent into a circle of one turn and magnetic field at centre is B. If bent into a circular loop of n turns, magnetic field at centre is:

Magnetic field due to a circular loop of radius 3 cm at a point on its axis 4 cm from centre is 54 μT. Field at centre is:

Two long conductors separated by distance d carry currents I₁ and I₂ in the same direction and exert force F. If one current is doubled and reversed, and distance becomes 3d, new force is:

A magnet is cut along its length into three equal parts and placed on one another with like poles together. If original time period is 2 s, new time period is:

Materials suitable for making electromagnets should have:

In an LCR series A.C. circuit, voltage across L, C and R is 50 V each. Voltage across LC combination is:

A coil having n turns and resistance R is connected with a galvanometer of resistance 4R. If flux changes from W₁ to W₂ in time t, induced current is:

A semicircular wire loop rotates in uniform magnetic field B with angular frequency ω. If total resistance is R, mean power generated per period is:

In an LCR circuit, capacitance is changed from C to 2C. For resonant frequency to remain unchanged, inductance should change from L to:

A metal conductor of length 1 m rotates vertically about one end with angular velocity 5 rad/s. Horizontal component of earth's magnetic field is 0.2 × 10⁻⁴ T. EMF between ends is:

According to Einstein’s photoelectric equation, graph of kinetic energy of photoelectrons versus frequency gives a straight line whose slope: