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Ly), , 3), , 4), , 5), , 6), , 1, , 8), , 9), , VISION SCHOOL OF SCIENCE, NADIAD, , , , GENERAL TEST, Paper - 3 Date : 1201/2022, Chapter Total Marks :, PHYSICS, Which is the dimensional formula for modulus of rigidity ?, (a)M'L'T* (byM'L"'T* ()M'L?T" (d)M'L°T*, , Length of a metallic rod of mass m and cross sectional area A is L. If mass M is suspended at the lower end of, , this rod suspended vertically. Stress at the cross section situated at 2 distance from its upper end is ....., , (a)Mg/A (b)(M + m/4)4 (o(M+2m) g/A (d)(M + m)g/A, , Here, values of lengths and diameters of wire of same material are given. If same mass is suspended at the end, which wire will have the maximum extension ?, , (a)l = 0.5 m,d = 0.5mm (b)l = Im,d = 1 mn, , (c)l = 2m,d =2mm (dl = 3m,d=3mm, , A composite wire is made by joining ends of two wires of equal dimensions, one of copper and the other of steel., , When weight is attached to its end, the ratio of increase in their lengths is... (Yesect = —Youpper), , (a)20:7 (b)10:7 {c)7: 20 (d)l :7, A rubber ball when taken to the bottom of a 1(4) m deep lake suffer decrease in volume by | %. Hence, the bulk, modulus of rubber is .... (g = 10 ms), , (a) 10°Pa (b) 10°Pa (c) 107 Pa (d) 10°Pa, For perfect plastic body Young’s modulus is ......, (al (b)zero (cx (d)2, , Two pieces of wire A and B of the same material have their lengths in the ratio | : 2 and their diameters are in the, ratio 2; 1. If they are stretched by the same force, their elongations will be in the ratio......, , (aj2:1 (b)1: 4 {c)1:8 (dS: 1, Solids which break or rupture ahove the elastic limit are classified as......, (a)Brittle (b)Elastic (c)Ductile (d)Malleable, , A wire (y = 3 x 10°' N/m’) has length 1 mand are 1 mm*. The work required to increase its length by 2 mm is ....., (a)400 J (b}40 J (c}4J (d)0.4 J, , 10) The upper end of a wire of radius 4 mm and length of 100 cm is clamped and its other end is twisted through an, , angle of 30°, the angle of shear is ...., (a)12° (b)1.2” (c)0.12” (dy0.012"
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11) A steel wire of cross sectional are 3 x 10-° m? can withstand a maximum strain of 107° Young's modulus is steel, , is 2x 10° Nim’. If the overall volume change in the wire is 0.02 9%. the frictional decrease in the radius of the wire, , (a) 1.5 x 104 (b) 1.0x 10 (c) 0.5 x 10% (d) 0.25 x 10%, , 12) A copper wire and steel wire of same diameter and length are connected end to end and a force is applied which, stretches their combined length by I cm. The two wires will have ......, (a)Same stress and strain (b)Different stress and strain, (c)Different stress and same strain (d)Same stress and different strain, , 13) The speed of air above the wings of an aeroplane is 120 ms“ and below the wings it is 90 ms~'. If density of air is, 1.3 kgm ? the pressure difference is ...., (a)156 Pa (b)39 Pa {c)4095 Pa (d)6300 Pa, , 14) A plate of area 1) cm’ is placed over a plate. A layer of glycerin of | mm thickness is lying hetween two plates., To move the upper plate with velocity 10 ms“! the required external force is... (Ngtycerine =20 Poise), (a)80 dyne (b)200 x 10° dyne (c)800 dyne (d)2000 x 10° dyne, , 15) As small sphere falls through a viscous medium. Curve, (ajA, , , , (b)B, (eC, (dD, 16) Surface tension of soap Hint is 1.9 x 10 Nm. The work done to blow a bubble of diameter 2.0 cm is....., (a)I7.6 x 108 ed (b)15.2x 10% ad (c)19x 10° J (d) 104 wd, 17) The type of a flow of water having velocity 10 cms ! through a tube of radius 0.5 cm is ................. (ater =, , 0.1 Poise, Pwarer = 1g cm-*), (a)Streamline (b)Unstable {c)Turbulent (d)None of these, , 18) To form the film described in the above question, amount of mechanical work done against the force of surface, tension ....... CTE., (a)1200 (b)2400 (c)2600 (d) 4800, , 19) An incompressible fluid through a cylindrical horizontal pipe of radius x at point A and Sat another point B. Ratio, of velocities at point A and point B is ....., (aj2:1 (b)1 +2 (c)l 4 (d)421, , 20) A hydraulic lift is designed to lift cars of maximum mass of 3000 kg. The area of cross ~ section of the piston, carrying the load is 4.25 x 10 '? m*. What maximum pressure, the smaller piston have to bear ?, (a)7.82 x 10’ Nm? (b) 9.63 x 10° Nm 2 (c) 13.76 x 10"! Nm? (d) 6.92 x 10° Nm?
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21) The density of ice is x gram’ litre and that of water is y gram litre. What is the change in value when m gram of, , ice melts ?, a1 1.2, , (aym ( -+) (bymx(x — y) (cm (5 +2) wo, , 22) In a streamline flow, if the gravitational head is h. The kinetic and pressure head are ......, v ond v? £ y? Z 29 ond £2, , (5 and = (by and 7 (cy and a (dy and P, 23) In equation 5 + e + y = constant. Each term has a dimension of -..., , (a)Time (b)Velocity ({c)Piessure (d)Length, 24) Work done in blowing a soap bubble of radius R in air is ....., , (a)4nT R? (b)8xT R? {c)8xTR (d)4nTR, , 25) A certain amount of heat Q increases the temperature of | gm of material “A* by 3C° and 1 g of material B by, 4C°. Which material has greater specific heat ?, (aA (b)B (c)A and B (d)Neither A nor B, , 26) When equilibrium is established between pure water and its vapour at atmospheric pressure, the temperature is, taken as .... K., , (a)100 (b)273.15 (c)373.15 (d)273.16, 27) On the temperature scales of “C and "F, which value of temperature is the same ?, (a0 (b)40 (cH40 (d)32, , 28) A gas system absorbs 450) cal of heat and the work done by the system is 200 cal. Then the change in the internal, energy of the system is ... cal., (a)250 (b)850 {c)325 (d) zero, , 29) The density of water at 20°C is 998 kg/nv and it is 992 kg/nv at 40°C. The co ~ efficient of volume expansion of, , water is .......°C7",, , 998 992 6 6, , (\esaxz0 (OYesaxz0 (leraxz0 (Drrexza, , 30) On a hot day at Ahmedabad a trucker loaded 37,000 L of diesel fuel. He delivered the diesel at, Shrinagar{Kashmir), where the temperature was lower than that of Ahmedabad by 23 K. How many liters did he, deliver ? For diesel y = 3a = 9.50 x 10~*C°* (Neglect the thermal expansion/contraction of steel tank of the, truck)., (a)808 1. (b)36,190 1. (c)37808 1. (d)37,000 1., , 31) In thermal steady state the temperatures of two ends of a meter scale are 30 °C and 20 °C. Temperature of the part, of the scale at 60 cm from the hot end is ...., , (a) 25°C (b) 24°C (c) 23°C (d) 22°C
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32) Thermal resistance of two conductors A and B are Ryq = 100~ and Ryg = 200%. If A and B are connected in, series, then effective thermal resistance is ......, (100% (b)200= (300 (as00=, , 33) A sphere, a cube and a thin circular plate, all of same material and same mass are at the same temperature. Which, of the following would cool fastest ?, (a) Circular plate (b) Sphere (c) Cube (d) All of them, , 34) A black body at T K temperature emits E amount of radiant energy from surface of 1 m? in 1 s. If its temperature, is halved, the amount of energy emitted will be....., , E g £, ay (b)> (> (d) 2E, 35) Unit of thermal conductivity is -....., (a)Cal x mr K"* (b) Cals mK {c)Cal s' mK (d)Cal s' mr! K, , 36) Two rods P and Q have equal lengths, their thermal conductivities are k, and k, and cross — sectional areas are A,, and Az. When the temperatures at the ends of each rod are T, and T, respectively, the rate of flow of heat through, P and Q will be equal, if ......., , a, , =% ey oie, (a = i (b) i cia as (c) ramps, , ra z w= (2), , 37) The measurement of temperature of triple point of water gives ..... "C_ temperature., (a)0 (b}-273.16 (c)100 (d)0.01, , 38) A gas system absorbs 450 cal of heat and the work done by the system is 200 cal. Then the change in the internal, energy of the system is ... cal., (a)250 (b)850 (c)325 (d) zero, , 39) The density of water at 20"C is 998 kg/m’ and it is 992 kg/m’ at 40°C. The co ~ efficient of volume expansion of, , water is .......°C7!., , 998 2 6 6, (a ‘992x20 (b ‘998x20 tc 998x20 (d ‘99220, , 40) The volume of an ideal gas increases by 24 % during an adiabatic process. Its pressure will decrease by -....., , (v=5)(a)24 % (b)76 % (c)48 % (d)30 %, , 41) The pressure of 10 mole gas changes from 8 atm to 4 atm during an isothermal expansion at 27°C. The amount of, heat absorbed by the gas is..... J., (a)2079R (b)903 R (c)I87R (d)81,.3R, , 42) A diatomic (rigid rotator) 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 ....., (a)0.35 (b)0.25 (c)0.5 (d)0.75
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43) At what temperature the centigrade (Celsius) and Fahrenheit reading are the same ?, (a)-40" (b)}+40" (c)36.6° (d)-37°, , 44) One mole of O2 gas having a volume equal to 22.4 litres at 0°C and | atmospheric pressure is compressed, isothermally. So that its volume reduces to 11.2 litres. What is the work done in this process ‘(R=8.14 J mol! K5, (a)l672.5J (b)1728 J (c}-1728 J (d)-1572.9 J, , 45) If heat given to a system 6 kcal and work done is 6 kJ. then what is the change in internal energy (Take, J — 4.186, Jcal'), (a)19.1 kJ (b)12.5 kJ (c)25 kJ (dO, , 46) When | g of water at 0°C and 1 x 10° N/m? pressure is converted into ice of volume 1.091 cm’. What will be the, external work done ?, (a) 0.0091 joule (b)0.0182 joule (c)-0.0091 joule (d) -0.0182 joule, , 47) For adiabatically process (y = =) which relation true, mentioned below ?, , (a)PYV = constant (b)TYV = constant {c)TVY = constant (d)TV" = constant, 48) Water is used to cool radiator of engine, because ...., , (a)Of its lower density —_(b)Its easily available (c)Its cheap (d)lt has high specific heat, 49) SI unit of the universal gas constant is ....., (a)calmor' (b) J mor (c) J mor! K+ (d) J mor' K, , 50) Air is filled in an open vessel at 60 °C, On heating this vessel to temperature T, th of air comes out of the, container, then T = ......., (a) 80°C (b) 444 °C {c) 333°C (d) 171°C, , 51) In a sample of Chlorine gas, the average kinetic energy per molecule at 300 K is 6.21 x 107 J andy». is 325 ms, ‘| What will be the values of these quantities at 600 K ?, , (a) 12.42 x 107! J, 650 ms! (b)6.21 x 107! J, 650 mst, , (c)12.42 x 107" J, 325 ms! (d) 12.42 x 107" J, 459.6 ms", 52) The internal energy of given amount of an ideal gas depends on .....of the gas., , (a) pressure (b) temperature (c) volume (d) molar mass, 53) The degrees of freedom of inert gases like Ar, Ne, He are ....., , (a)3 (b) 5 (c)7 (do, , 54) One mole of gas occupies a volume of 100 ml at 50 mm pressure. What is the volume occupied by two moles of, the gas at 100 mm pressure and at same temperature ?, , (a)50 ml (b) 100 ml (c) 200 ml (d) 500 ml, 55) The interatomic forces between constituent particles of gases are .....incomparison with the interatomic forces in, solids and liquids., , (a)more (b) equal (c) negligible (d) much more