Practice Questions

Q2. A ball projected from ground at an angle of 45∘ just clears a wall in front. If point of projection is 4 m from the foot of wall and ball strikes the ground at a distance of 6 m on the other side of the wall, the height of the wall is : (1) 4.4 m (2) 2.4 m (3) 3.6 m (4) 1.6 m

Q2. A projectile is given an initial velocity of (ˆi 2ˆj) upward. If g = 10 m s−2 , the equation of its trajectory is : (1) 4y = 2x −5x2 (2) 4y = 2x −25x2 (3) y = x −5x2 (4) y = 2x −5x2

Q8. A sample of gas expands from V1 to V2 . In which of the following, the work done will be greatest? (1) Same in all processes (2) Isobaric process (3) Isothermal process (4) Adiabatic process

Q8. If a piece of metal is heated to temperature θ and then allowed to cool in a room which is at temperature θ0 , the graph between the temperature T of the metal and time t will be closest to : (1) (2) (3) (4)

Q8. Air of density 1.2 kg m−3 is blowing across the horizontal wings of an aeroplane in such a way that its speeds above and below the wings are 150 ms−1 and 100 ms−1 , respectively. The pressure difference between the upper and lower sides of the wings, is : (1) 60Nm−2 (2) 180Nm−2 (3) 7500Nm−2 (4) 12500Nm−2

Q8. On a linear temperature scale Y, water freezes at −160∘Y and boils at −50∘Y. On this Y scale, a temperature of 340 K would be read as : (water freezes at 273 K and boils at 373 K ) (1) −73.7∘Y (2) −233.7∘Y (3) −86.3∘Y (4) −106.3∘Y

Q12.When two sound waves travel in the same direction in a medium, the displacements of a particle located at ' x ' y1 = 0.05 cos(0.50πx −100πt) at time ' t ' is given by : where y1, y2 and x are in meters and t in seconds. The y2 = 0.05 cos(0.46πx −92πt) speed of sound in the medium is : (1) 92 m/s (2) 200 m/s (3) 100 m/s (4) 332 m/s

Q12.This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement 1: No work is required to be done to move a test charge between any two points on an equipotential surface. Statement 2 : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other. (1) Statement 1 is true, Statement 2 is true, (2) Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation of Statement 2 is not the correct explanation of Statement 1. Statement 1. (3) Statement 1 is true, Statement 2 is false. (4) Statement 1 is false, Statement 2 is true.

Q16.To establish an instantaneous current of 2 A through a 1μF capacitor ; the potential difference across the capacitor plates should be changed at the rate of: (1) 2 × 104 V/s (2) 4 × 106 V/s (3) 2 × 106 V/s (4) 4 × 104 V/s

Q17.This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement - I : Higher the range, greater is the resistance of ammeter. Statement - II : To increase the range of ammeter, additional shunt needs to be used across it. (1) Statement- I is true, Statement- II is false. (2) Statement- I is false, Statement- II is true. (3) Statement- I is true, Statement- II is true, (4) Statement- I is true, Statement- II is true, Statement- II is the correct explanation of Statement- II is not the correct explanation of Statement- I. Statement- I.

Q19.Choose the correct sketch of the magnetic field lines of a circular current loop shown by the dot and the cross ⊗. JEE Main 2013 (22 Apr Online) JEE Main Previous Year Paper (1) (2) (3) (4)

Q19.A uniform electric field →E exists between the plates of a charged condenser. A charged particle enters the space between the plates and perpendicular to →E . The path of the particle between the plates is a: JEE Main 2013 (09 Apr Online) JEE Main Previous Year Paper (1) straight line (2) hyperbola (3) parabola (4) circle

Q21.The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5s. In another 10s it will decrease to α times its original magnitude, where α equals : JEE Main 2013 (07 Apr) JEE Main Previous Year Paper (1) 0.729 (2) 0.6 (3) 0.7 (4) 0.81

Q22.Select the correct statement from the following : (1) Electromagnetic waves cannot travel in vacuum. (2) Electromagnetic waves are longitudinal waves. (3) Electromagnetic waves are produced by charges (4) Electromagnetic waves carry both energy and moving with uniform velocity. momentum as they propagate through space.

Q22.The magnetic field in a travelling electromagnetic wave has a peak value of 20 nT. The peak value of electric field strength is : (1) 9 V m−1 (2) 12 V m−1 (3) 3 V m−1 (4) 6 V m−1

Q23.Photons of an electromagnetic radiation has an energy 11keV each. To which region of electromagnetic spectrum does it belong ? (1) X-ray region (2) Ultra violet region (3) Infrared region (4) Visible region

Q23.The graph between angle of deviation (δ) and angle of incidence (i) for a triangular prism is represented by : (1) (2) (3) (4)

Q25.A beam of unpolarised light of intensity I0 is passed through a polaroid A and then through another polaroid B which is oriented so that its principle plane makes an angle of 45o relative to that of A . The intensity of the emergent light is: (1) I0 (2) I0 4 8 (3) I0 (4) I02

Q26.Two coherent point sources S1 and S2 are separated by a small distance d as shown in the figure. The fringes obtained on the screen will be JEE Main 2013 (07 Apr) JEE Main Previous Year Paper (1) semi-circles (2) concentric circles (3) points (4) straight lines

Q28.When Uranium is bombarded with neutrons, it undergoes fission. The fission reaction can be written as : 92U235 + 0n1 →56Ba141 + 36Kr92 + 3x + Q( energy) where three particles named x are produced and energy Q is released. What is the name of the particle x ? (1) electron (2) α-particle (3) neutron (4) neutrino

Q30.The I −V characteristics of an LED is: JEE Main 2013 (07 Apr) JEE Main Previous Year Paper (1) (2) (3) (4)

Q30.If a carrier wave c(t) = A sin ωct is amplitude modulated by a modulator signal m(t) = A sin ωmt then the equation of modulated signal [Cm(t)] and its modulation index are respectively (1) Cm(t) = A (1 + sin ωmt) sin ωct and 2 (2) Cm(t) = A (1 + sin ωmt) sin ωmt and 1 (3) Cm(t) = A (1 + sin ωmt) sin ωct and 1 (4) Cm(t) = A (1 + sin ωct) sin ωmt and 2

Q30.Correct set up to verify Ohm's law is : (1) (2) (3) (4)

Q1. Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is (1) 6% (2) zero (3) 1% (4) 3%

Q1. A student measured the diameter of a wire using a screw gauge with the least count 0.001 cm and listed the measurements. The measured value should be recorded as (1) 5.3200 cm (2) 5.3 cm (3) 5.32 cm (4) 5.320 cm