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As you requires I am here giving you here sample paper for IIT JEE Main exam. Sample paper for IIT JEE Main exam: 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 not a meaningful quantity ? 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 ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25 m and its axle to be horizontal) : (1) 0.4 (2) 1.3 (3) 8.0 (4) 27.0 A Carnot freezer takes heat from water at 08C inside it and rejects it to the room at a temperature of 278C. The latent heat of ice is 336×103 J kg−1. If 5 kg of water at 08C is converted into ice at 08C by the freezer, then the energy consumed by the freezer is close to : (1) 1.67×105 J (2) 1.68×106 J (3) 1.51×105 J (4) 1.71×107 J 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 piston at which the washer no longer stays in contact with the piston, is close to : (1) 0.1 Hz (2) 1.2 Hz (3) 0.7 Hz (4) 1.9 Hz 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 air is 340 m/s, the frequency of the horn of the toy car is close to : (1) 680 Hz (2) 510 Hz (3) 340 Hz (4) 170 Hz Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wavelength of light is 600 nm. To see the stars just resolved by the telescope, the minimum distance between them should be (1 light year=9.46× 1015m) of the order of : (1) 106 km (2) 108 km (3) 1011 km (4) 1010 km A neutron moving with a speed ‘v’ 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 : (1) 10.2 eV (2) 16.8 eV (3) 12.1 eV (4) 20.4 eV To determine refractive index of glass slab using a travelling microscope, minimum number of readings required are : (1) Two (2) Three (3) Four (4) Five The volume of 0.1N dibasic acid sufficient to neutralize 1 g of a base that furnishes 0.04 mole of OH− in aqueous solution is : (1) 200 mL (2) 400 mL (3) 600 mL (4) 800 mL Here is the attachment. IIT JEE Main Exam Sample Paper |