JEE Main 2006Annual, Paper 1

Physics 44Chemistry 43Mathematics 35

Physics

Q5869In a series resonant LCR circuit, the voltage across R is 100 volts and R = 1 kΩ with C = 2μ F. The resonant frequency ω is 200 rad/s. At resonance the…Electromagnetic Induction and Alternating Currents
Q5937In an AC generator, a coil with N turns, all of the same area A and total resistance R, rotates with frequency ω in a magnetic field B. The maximum value of…Electromagnetic Induction and Alternating Currents
Q5957An alpha nucleus of energy 1/2m v² bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be…Atoms and Nuclei
Q6037When ₃L i⁷ nuclei are bombarded by protons, and the resultant nuclei are ₄B e⁸, the emitted particles will beAtoms and Nuclei
Q6038If the binding energy per nucleon in ₃⁷Li and ₂⁴He nuclei are 5.60 MeV and 7.06 MeV respectively, then in the reaction p + ₃⁷Li → 2 ₂⁴He energy of proton must…Atoms and Nuclei
Q6079The 'rad' is the correct unit used to report the measurement ofAtoms and Nuclei
Q6199Consider a two particle system with particles having masses m₁ and m₂. If the first particle is pushed towards the center of mass through a distance d, by…Rotational Motion
Q6233A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process is completed in 0.1s, the force of the blow exerted by the…Rotational Motion
Q6234A bomb of mass 16kg at rest explodes into two pieces of masses 4 kg and 12 kg. The velocity of the 12 kg mass is 4 m s⁻¹. The kinetic energy of the other mass…Rotational Motion
Q6395A thermocouple is made from two metals, Antimony and Bismuth. If one junction of the couple is kept hot and the other is kept cold, then, an electric current…Current Electricity
Q6413An electric bulb is rated 220 volt - 100 watt. The power consumed by it when operated on 110 volt will beCurrent Electricity
Q6414The resistance of bulb filmanet is 100Ω at a temperature of 100° C. If its temperature coefficient of resistance be 0.005 per° C, its resistance will become…Current Electricity
Q6526In a Wheatstone's bridge, three resistance P, Q and R connected in the three arms and the fourth arm is formed by two resistances S₁ and S₂ connected in…Current Electricity
Q6617The time taken by a photoelectron to come out after the photon strikes is approximatelyDual Nature of Matter and Radiation
Q6618The threshold frequency for a metallic surface corresponds to an energy of 6.2 eV and the stopping potential for a radiation incident on this surface is 5V…Dual Nature of Matter and Radiation
Q6676Which of the following units denotes the dimension M L² Q², where Q denotes the electric charge?Electromagnetic Induction and Alternating Currents
Q6694The flux linked with a coil at any instant 't' is given by φ = 10t² - 50t + 250 The induced emf at t=3s isElectromagnetic Induction and Alternating Currents
Q6731The rms value of the electric field of the light coming from the Sun is 720 N/C. The average total energy density of the electromagnetic wave isElectromagnetic Waves
Q6860If the ratio of the concentration of electrons to that of holes in a semiconductor is 7/5 and the ratio of currents is 7/4, then what is the ratio of their…Electronic Devices
Q6861A solid which is not transparent to visible light and whose conductivity increases with temperature is formed byElectronic Devices
Q6894In a common base mode of a transistor, the collector current is 5.488 mA for an emitter current of 5.60mA. The value of the base current amplification factor…Electronic Devices
Q6939An electric dipole is placed at an angle of 30° to a non-uniform electric field. The dipole will experienceElectrostatics
Q6995Two spherical conductors A and B of radii 1 mm and 2 mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a…Electrostatics
Q7092The refractive index of a glass is 1.520 for red light and 1.525 for blue light. Let D₁ and D₂ be angles of minimum deviation for red and blue light…Optics
Q7339Assuming the Sun to be a spherical body of radius R at a temperature of TK, evaluate the total radiant powered incident of Earth at a distance r from the Sun…Properties of Solids and Liquids
Q7354Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T₀, while Box contains one mole of…Thermodynamics
Q7470The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7° C. The…Thermodynamics
Q7634Needles N₁, N₂ and N₃ are made of ferromagnetic, a paramagnetic and a diamagnetic substance respectively. A magnet when brought close to them willMagnetic Effects of Current and Magnetism
Q7669A long solenoid has 200 turns per cm and carries a current i. The magnetic field at its center is 6.28 × 10⁻² Weber/m². Another long solenoid has 100 turns…Magnetic Effects of Current and Magnetism
Q7737In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from…Magnetic Effects of Current and Magnetism
Q7881A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity 'v' that varies as v = α x. The displacement of the…Kinematics
Q7892If the terminal speed of a sphere of gold (density = 19.5 kg/m³) is 0.2 m/s in a viscous liquid (density = 1.5 kg/m³, find the terminal speed of a sphere of…Properties of Solids and Liquids
Q7925A wire elongates by l mm when a LOAD W is hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of…Properties of Solids and Liquids
Q8041A thin circular ring of mass m and radius R is rotating about its axis with a constant angular velocity ω. Two objects each of mass M are attached gently to…Rotational Motion
Q8081Four point masses, each of value m, are placed at the corners of a square ABCD of side l. The moment of inertia of this system about an axis passing through A…Rotational Motion
Q8132A coin is placed on a horizontal platform which undergoes vertical simple harmonic motoin of angular frequency ω. The amplitude of oscillation is gradually…Oscillations and Waves
Q8133The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. The period of oscillation isOscillations and Waves
Q8134Starting from the origin a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy?Oscillations and Waves
Q8515A whistle producing sound waves of frequencies 9500 Hz and above is approaching a stationary person with speed v m s⁻¹. The velocity of sound in air is 300 m…Oscillations and Waves
Q8541A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant…Oscillations and Waves
Q8566A mass of M kg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of 45° with the…Work, Energy and Power
Q8567A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 m while applying the force and the ball goes upto 2 m…Work, Energy and Power
Q8568A particle of mass 100g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up isWork, Energy and Power
Q8569The potential energy of a 1 kg particle free to move along the x -axis is given by V(x) = ((x⁴)/4 - (x²)/2)J. The total mechanical energy of the particle is…Work, Energy and Power