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Full Syllabus Test, , | Physics | Mark : 50 | Time :45 min. | MHTCET-2021, , 1) Find the angle at which a ball must be, projected so that it just passes over a pole, 10 m high and at a distance of 20 m from, the point of projection, a) 30° b) 45°, c) 60° d) 75°, 2) A horizontal force of 800 N pulls two, masses 30 kg and 10 kg (lying on a, frictionless table) connected by a light, string as shown in figure. The tension in, the string is, , a) 200 N b) 300 N c) 400 N d) 600 N, 3) A car is negotiating a curved road of radius, R. The road is banked at an angle θ. The, coefficient of friction between the tyres of, the car and the road is,µ. The maximum, safe velocity on this road is, , 6) A mass 2 m is suspended by a massless, string wound around a uniform solid, cylinder of mass m and radius R. If the, string does not slip on the cylinder, with, what acceleration will the mass 2 m fall on, release ?, , 4, 5, g d) g, 4, 5, 7) A disc of mass m and radius r is rotating, with angular velocity ω .another disc of, m, mass, and radius 2 r is placed co-axially, 2, on the first disc gently. The angular, a), , g, 2, , b) g, , c), , b) gR 2, , a), , 2, 3, 2, b), c), d), 3, 3, 2, 3, 8) A particle of mass 2 m is placed at the, centre of a uniform spherical shell of mass, m and radius R. The gravitational potential, on the surface of shell, 3Gm, b) Zero c), a), d), R, R, 9) If the radius of earth were to shrink by 2%,, its mass remaining the same, then the, percentage change in acceleration due to, gravity on the earth surface would be, a) decrease by 2% b) increase by 2%, a), , gR, , g/R, , c), d), 4) A gramophone record is revolving with an, angular velocity ω. A coin is placed at a, distance r from the centre of the record., The static coefficient of friction is μ. The, coin will revolve with the record if, a) r, , b), , c) r, , µg, , d) r, , 5) The moment of inertia of a uniform square, plate of side 'a' about an axis perpendicular, to its plane and passing through one of its, corners is, a), , 2 2, ma, 3, , 5, 6, , b) ma 2 c), , c) decrease by 4%, , 1, 7, ma 2 d) ma 2, 12, 12, 1|Page, , d) increase by 4%

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10) A vessel contains oil of density 0.8 g/cm3, over mercury of density 13.6 g/cm3. A, homogeneous sphere floats with half the, volume immersed in mercury and the other, half in oil. The density of the material, sphere in g/cm3 is, a) 6.7 g/cm3, b) 7 g/cm3, c) 7.2 g/cm3, d) 3.5 g/cm3, 11) A soap bubble has radius 0.4 cm. If the, surface tension is 44 dyne/cm, the pressure, difference between the inside and outside, of the bubble is, a) 44 dyne/cm2, b) 44 N/m2, c) 440 dyne/cm2, d) 440 N/m2, 12) Two spherical rain drops with radii in the, ratio 2 : 3 falls from a great height through, the atmosphere. The ratio of their, momentum after they have attained, , 16) If the door of a refrigerator is kept open,, then which of the following is true?, a) room is cooled, b) room is heated, c) room is either cooled or heated, d) none of these, 17) A rigid tank contains 28 kg of nitrogen at 5, atm. Sufficient quantity of oxygen is, supplied to increase the pressure to 10 atm, while the temperature remains constant., Amount of oxygen supplied to the tank is, a) 10 kg, b) 32 kg c) 48 kg d) 28 kg, 18) The graph which represents the variation, of mean K.E. of molecules with, temperature T K is, a), b), , 2, 32, 16, c), d), 9, 3, 243, 81, c), d), 13) Twenty gram of ice at 0°C is kept in a, calorimeter of water equivalent 20 g. How, much heat should be supplied to the, appratus, to evaporate the water thus, formed ? (No loss of heat), a) 3600J b)14400J c)14800 J d) 16400 J, 19) If 1 mole of diatomic gas is mixed with 2, 14) The energy spectrum of a blackbody, mole of monoatomic gas, then the ratio of, exhibits a maximum around a wavelength, specific heats for the mixture is, λ 0 at temperature T0. Find the temperature, 17, 15, 7, 5, b), c), d), a), 11, 19, 5, 3, 2, maximum around, 20) A particle executes S.H.M. with an, 3, amplitude A. The period of oscillation is, 3, 2, T. The minimum time taken by the, a) T0, b) T0, c) T0 d) 2 T0, 2, 3, 3, particle to travel, of the amplitude, 15) Which of the following is correct in terms, 2, of increasing work done for the same, from the extream position is, T, T, T, T, initial and final state?, a), b), c), d), 2, 4, 12, 8, a) adiabatic < isobaric < isothermal, 21) A particle executing SHM has a maximum, speed 30 π cm/s and a maximum, b) adiabatic < isothermal < isobaric, acceleration 60 π cm/s2. The period of, c) isobaric < adiabatic < isothermal, oscillation is, a) π sec, b) 0.707 π sec, d) isothermal < isobaric < adiabatic, a), , b), , 2|Page

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29), c) 2, d) 2 π sec, 22) If the maximum kinetic energy of a simple, pendulum is k, then what is its displacement (in, terms of amplitude of SHM A) when its kinetic, energy, a), , 3, k?, 4, , A, 2, , b), , A, 3, , c), , A, 3, , d), , A, 2, , 23) A wave travelling along x-axis is described by, the equation y(x, t) = 0.04 sin ( x –βt). If the, wavelength and the time period of the wave are, 0.04 m and 4.0 second respectively, then and, a), , b), , c), , 25, , d), , 31) Alternating current of peak value, , 24) The vibrations of a string of length 500 m fixed, at both ends are represented by the equation,, where x and y are, , 25), , 26), , 27), , 28), , in cm. The number of loops formed in it is, a) 10 b) 15, c) 5 d) 20, There are 24 tuning forks arranged in the, decreasing order of their frequencies. Each, turning fork gives 2 beats with the next fork., The first one is octave of the last. The frequency, of 18th turning fork is, a) 46 Hzb), 92 Hz, c)58 Hz d) 36 Hz, Two point charges repel each other with a force, of 100 N. One of the charge is increased by, 10% and the other is reduced by 10%. The new, force of repulsion at the same distance would be, a) 10 N b) 121 N, c) 99 N d) 90 N, If the band gap between valence band and, conduction band in a material is 5 eV, then the, material is, a) semiconductorb) insulator, c) conductor, d) super conductor, For the spherical mirrors, the relation between, focal length (f) and radius of curvature R is, given, a) f, , b) f, , 2R, , c) f, , A prism of a refracting angle 60° is made with, a material of refractive index µ. For a certain, wavelength of light, the angle of minimum, deviation is 30°. For this wavelength, the, value of µ of material is, a) 1.8, b) 1.6, c) 1.2, d) 1.4, 30) The number of turns in the coil of an ac, generator are 100 and its cross-sectional area, is 2.5 m2. The coil is revolving in uniform, magnetic field of strength 0.3 T with the, uniform angular velocity of 60 rad/s. The, value of maximum voltage produced is, a) 1.25 kV, b) 6.75 kV, c) 4.5 kV, d) 2.25 kV, ampere, , flows through the primary coil of the, transformer. The coefficient of mutual, inductance between primary and secondary, coil is 1 H. If the frequency of ac source is 50, Hz then peak emf induced in secondary coil is, a) 100 V, b) 200 V c) 300 V d) 50 V, 32) The sharpness of resonance curve in a, resonant circuit is measured by, a) resonant factor, b) quality factor, c) time factor, d) power factor, 33) In a series LCR circuit R= 18 Ω and, impedance is 33 Ω. An r.m.s. voltage 220 V is, applied across the circuit. The true power, consumed in ac circuit is, a) 220 W b)800 W, c)600 W d) 400 W, 34) The magnetic susceptibility of a paramagnetic, substance is 3 10–4. It is placed in magnetising, field of 4, 104 A/m. The intensity of, magnetisation will be, a) 12 A/m, b) 6 A/m, c) 8 A/m., d) 24 A/m, 35. The magnetic moment of electron due to orbital, motion is proportional to n = principle quantum, number, , d) f, , 3|Page, , 1, 2, a) n, , 1, b) n, , c) n2, , d) n

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36) A charge q is accelerated through a potential 43) Two slits separated by a distance of 1 mm are, illuminated with light of wavelength 4000 A., difference V. It is then passed normally through, The interference fringes are observed on a, a uniform magnetic field, where it moves in a, screen placed 1 m from the slits. The distance, circle of radius r. The potential difference, between fourth dark and sixth bright fringe on, required to move it in a circle of radius 2 r is, the same side is equal to, a) 2 V, b) 4 V, c) 1 V, d) 3 V, a) 0.6 mm b) 1 mm c) 2 mm d) 0.4 mm, 37) The maximum velocity to which a proton can, be accelerated in a cyclotron of 10 MHz 44) The light of wavelength 6328 Å is incident on, frequency and radius 50 cm is, a slit of width 0.2 mm perpendicularly. The, 7, 7, angular width of central maxima will be, a) 3.14 × 10 m/s b) 6.28 × 10 m/s, 6, 7, a) 0.36° b) 0.18°, c) 0.72°, d) 0.09°, c) 3.14 × 10 m/s d) 4.2 × 10 m/s, 38) A voltmeter of 250 mV range having a 45) In a Zener diode, the reverse bias voltage is 3, resistance of 10 Ω is converted into an ammeter, V and width of depletion region is 300 A, the, of 250 mA range. The value of necessary shunt, electric field intensity will be, is nearly, a) 104, b)106, c) 108, d) 10–2, a) 2 Ω, b) 0.1 Ω, c) 1 Ω d) 10 Ω, 46) To get output 1 for the following circuit, the, 39) In a potentiometer experiment, the balancing, correct choice for the input is, point for a cell is at a length 240 cm. On, shunting the cell with a resistance of 2 Ω, the, balancing length becomes 120 cm. The internal, resistance of the cell is, a) A = 1, B = 1, C = 0, a) 1 Ω, b) 4 Ω, c) 0.5 Ω d) 2 Ω, 40) All capacitors used in the diagram are identical, b) A = 1, B = 0, C = 1, and each is of capacitance C., c) A = 0, B = 1, C = 0, d) A = 1, B = 0,C = 0, 47) The ratio between areas of Bohr's first three, orbits of the hydrogen atom are, The equivalent capacitance between A and B is, a) 1 : 2 : 3, b) 1 : 4 : 9 ., a) C, b) 2 C c) 1.5 C, d) 3 C, c) 1 : 8 : 27, d) 1:16:81, 41) Charges 1 µC are placed at each of the four, 48)0 The radioactivity of a certain radioactive, corners of a square of side 2 √2 m. The, element drops, of its initial value in 30, potential at the point of intersection of the, seconds. It's half life is n, a) 2 seconds, b) 4 seconds, diagonals is, c) 5 seconds d) 8 seconds, b) 9 × 103 V, a) 18 × 103 V, 49) Light of wavelength 5000 Å falls on a, sensitive plate with photoelectric work, c) 180 V, d) 90 V, function of 1.9 eV. The kinetic energy of the, 42) A beam of light is partially reflected and, photoelectron emitted will be, partially refracted from a surface. The angle, a) 0.58 eV, b) 2.48 eV, between reflected and refracted rays is 90°. The, c) 1.24 eV, d) 1.16 eV, angle of refraction is 30°. Then angle of 50) An electron is having a kinetic energy of 50, eV. Its de-Broglie wavelength is, , incidence must be, a) 30°, , b) 60°, , c) 45°, , a) 1.7 Å, , d) 90°, , b) 2.5 Å c) 4.4 Å d) 6.5 Å, , ****, 4|Page