SOLVED AIEEE PAPER

Test Paper

1 ) A rectangular loop has a sliding connector PQ of length l and resistance Rand it is moving with a speed v as shown. The set-up is placed in a uniform magnetic field going into the and I are : 2 ) A particles is moving with velocity , where K is a constant. The general equation for its path is y = x2 + Cons tan t y2 = x2 + Cons tan t y = x 2+ Cons tan t x y + Cons tan t 3 ) Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes t the two statements. Statement-1: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Statement-2: Principle of conservation of momentum holds true for all kinds of collisions. Statement –1 is true, Statement- 2 is false Statement –1 is false, Statement- 2 is true Statement –1 is true, Statement- 2 is true; Statement -2 is not the correct explanation of Statement-1. Statement –1 is true, Statement- 2 is true; Statement -2 is the correct explanation of Statement-1 4 ) Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes t the two statements. Statement-1: When ultraviolet light is incident on a photocell, its stopping potential is V0 and the maximum kinetic energy of the photoelectrons is Kmax. When the ultraviolet light is replaced by X-rays, both V0 and Kmax increase. Statement-2: Photoelectrons are emitted with speeds ranging from zero to a maximum value because of the range of frequencies present in the incident light. Statement –1 is true, Statement- 2 is false Statement –1 is true, Statement- 2 is true; Statement -2 is the correct explanation of Statement-1. Statement –1 is true, Statement- 2 is true; Statement -2 is not the correct explanation of Statement-1. Statement –1 is false, Statement- 2 is true 5 ) A ball is made of a material of density where with oil and water representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position? As for discharging RC circuit 6 ) Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t1 is the time taken for the energy stored in the capacitor to reduce to half its initial value and t2 is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio t1/ t2 will be 1/2 2 1/4 1 7 ) In the circuit shown, the key K is closed at t = 0. The current through the battery is 8 ) Two long parallel wires are at a distance 2d apart. They carry steady equal currents flowing out of the plane of the paper as shown. The variation of the magnetic field B along the line XX’ is given by 9 ) Two fixed frictionless inclined planes making an angle 30º and 60º with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B?   4.9 ms-2 in horizontal direction 4.9ms-2in vertical direction Zero 9.8 ms-2 in  vertical direction 10 ) The figure shows the position-time (x – t) graph of one-dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is   0.2 Ns 0.4 Ns 0.8 Ns 1.6 Ns 11 ) The combination of gates shown below yields NAND gate XOR gate OR gate NOT gate 12 ) A radioactive nucleus (initial mass number A and atomic number Z) emits 3- particles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be   A - Z - 4 / 4 - 8 A - Z -  12 /  Z - 4 A - Z -  4 / Z - 2 A - Z - 8 /  Z - 4 13 ) A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field E at the centre O is 14 ) The speed of daughter nuclei is   15 ) A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from V to 32 V, the efficiency of the engine is 0.5 0.99 0.75 0.25 16 ) If a source of power 4 kW produces photons/second, the radiation belongs to a part of the spectrum called X-rays ultraviolet rays y -rays microwaves 17 ) The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1 X 10 -3 are 4, 4, 2 5, 5, 2 5, 1, 5 5, 1, 2