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PAPER 1 (1.) A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at 27.0 C. What is the change in the diameter of the hole when the sheet is heated to 227 C : (Coefficient of linear expansion of copper 5 1 1.70 10 K − − = ) (1) 2 1.44 10 cm − (2) 2 2.24 10 cm − (3) 4 1.44 10 cm − (4) 3 2.24 10 cm − (2.) The coefficient of volume expansion of glycerin is 5 1 49 10 K − − . What is the fractional change in its density for a 30 C rise in temperature : (1) 2 3.47 10− (2) 2 1.47 10− (3) 2 1.45 10− (4) 3 3.7 10− (3.) A 10 kW drilling machine is used to drill a bore In a small aluminium block of mass 8.0 kg . How much is the rise in temperature of the blocks in 2.5 minutes, assuming 50% of power is used up in heating the machine itself or lost to the surroundings : ( Specific heat of aluminium 1 1 0.91 J g K − − = ) (1) 103 C (2) 102 C (3) 100 C (4) 0C (4.) A copper block of mass 2.5 kg is heated in a furnace to a temperature of 500 C and then placed on a large ice block. What is the maximum amount of ice that can melt : (Specific heat of copper 1 1 0.39 J g K − − = ; heat of fusion of water 1 335 − = J g ) (1) 1.45 kg (2) 2.45 kg (3) 2.30 kg (4) 4.30 kg (5.) Surface of the lake is at 2C . Find the temperature of the bottom of the lake : (1) 2C (2) 3C (3) 4C (4) 1C (6.) Water of volume 2 litre in a container is heated with a coil of 1 kW at 27 C . The lid of the container is open and energy dissipates at rate of 160 J / s . In how much time temperature will rise from 27 C to 77 C : [Given specific heat of water is 4.2 kJ / kg (1) 8 min20sec (2) 6 min2sec (3) 7 min (4) 14 min (7.) According to law of caloimetry, which of the given relationis true : (1) Heat gained heat lost (2) Heat gained = heat lost (3) Heat gained heat lost (4) Heat lost < heat gained (8.) Boiling water is changing into steam, under this condition the specific heat of water in cals /g / C is : (1) 1 (2) Zero (3) (4) 1 (9.) Pure water cooled to −15 C is contained in a thermally insulated flask. Some ice is added into the flask. The fraction of water frozen into ice is :
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(1) 3 35 (2) 6 35 (3) 2 35 (4) 6 29 (10.) The coefficient of areal expansion is : (1) Equal (the coefficient of linear expansion) (2) Thrice (the coefficient of linear expansion) (3) Twice (the coefficient of linear expansion) (4) None of the above. (11.) How many calories of heat is develop by 200 watt bulb in 5 minutes : (1) 3 1.43 10 cals (2) 4 1.43 10 cals (3) 3 14.3 10 cals (4) 4 14.3 10 cals (12.) A liquid of mass m and specific heat c is heated to a temperature T. Another liquid of mass m / 2 and specific heat 2c is heated to a temperature 2 T . If these two liquids are mixed, the resulting temperature of the mixture is : (1) 3 T 2 (2) 8 T 5 (3) T (4) None of these (13.) A ball of iron of mass 0.1 kg is dropped from a height of 10 m and again rises to 1.0 m . If whole of the energy is converted into heat, the rise in temp. of the ball is : (sp. heat 2 = = = 0.12cal / g C;J 4.2 J / cal,g 10 m s ) (1) 180 C (2) 1.8 C (3) 0.18 C (4) 180 C (14.) A 50 g lead bullet (sp . heat = 0.02cal / g C ) is at 30 C . It is fired vertically upwards with a speed of 1 840 ms− . On returning to the starting level it strikes the ice cake at 0C . How much ice is melted : (L.H. of ice = 80cal / gm) : (1) 52.875 g (2) 5.2875 g (3) 528.75 g (4) none of these (15.) A metal rod having a linear coefficient of expansion as 5 2 10 / C − . It has length 1 m at 20 C . The temperature at which it is shortend 1 mm is : (1) 10 C (2) 0C (3) −10 C (4) −30 C (16.) Steam at 100 C is passed into 22 g of water at 20 C . What weight of water is present at 90 C : (L.H. = 2260 J / g , sp. heat of water 1 1 4.2 J g / C − − = ) (1) 36.6 g (2) 26.2 g (3) 24.8 g (4) 25.2 g (17.) A refrigerator converts 50 g of water at 15 C into ice at 0C in one hour. Heat removed per minute is : (1) 7.92cal (2) 792cal (3) 79.2cal (4) None of these
(18.) Of the following, the one which has the highest specific heat is (1) aluminium (2) cooper (3) water (4) hydrogen (19.) Two rods, one of aluminium and the other made of steel, having initial lengths 1 I and 2 I are connected together to form a single rod of length (I I 1 2 + ) . The coefficient of linear expansion of aluminium and steel are a and s respectively. If the length of each rod increase by same amount, when their temperatures are raised by TC , then the ratio I I I 1 1 2 /( + ) is (1) s a (2) s a s + (3) a s (4) a a s + (20.) When water is heated from 0C to 10 C , its volume: (1) Increases (2) Decreases (3) Does not change (4) First decreses and then increases (21.) Compared to burn due to air at 100 C , a burn due to steam at 100 C is (1) more dangerous (2) less dangerous (3) equally dangerous (4) none of the above (22.) An aluminium sphere of 20 cm diameter is heated from 0C to 100 C . Its volume changes by : (given that coefficient of linear expansion for aluminium 6 Al = 23 10 / C ) (1) 2.89cc (2) 9.28cc (3) 49.8cc (4) 28.9cc (23.) Whater is used as coalant in automobile radiator because : (1) It has high specific heat capacity (2) It is easily available (3) It is easy to carry (4) It is cheap (24.) A substance of mass mk requires a power input of P watt to remain in the molten state at its melting point. When the power is turned off, the sample completely solidifies in tsec . The latent heat of fusion is : (1) P m t (2) Pt m (3) Pm t (4) Ptm (25.) Which of the following statements is wrong : (1) bimetal is used in metal thermometers (2) bimetal is used in thermostal for regulating (3) bimetal relays are used to open or close (4) bimetal are used to generate electricity (26.) Solids expand on heating because