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A ir is held inside a non-insulated cylinder using a piston (mass M=25 kg and area A=100 cm2) and stoppers (of negligible area), as shown in the figure. The initial pressure i P and temperature i T of air inside the cylinder are 200 kPa and 400C, respectively. The ambient pressure P and temperature T are 100 kPa and 27C, respectively. The temperature of the air inside the cylinder (C) at which the piston will begin to move is _________ (correct to two decimal places).1 AnswerA frictionless circular piston of area 2 10 m2 and mass 100 kg sinks into a cylindrical container of the same area filled with water of density 1000 kg/m3 as shown in the figure. The container has a hole of area 3 10 m2 at the bottom that is open to the atmosphere. Assuming there is no leakage from the edges of the piston and considering water to be incompressible, the magnitude of the piston velocity (in m/s) at the instant shown is _____ (correct to three decimal places).1 AnswerDirection: Consider the following for the next three (03) items : A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder. 3. Consider the following statements: 1) The surface area of the sphere is 5 Times the curved surface area of the cone. 2) The surface area of the cube is equal to the curved surface area of the cylinder. Which of the above statements is/are correct? A. 1 only B. 2 only C. Both 1 and 2 D. Neither 1 nor 20 AnswerDirection: Consider the following for the next three (03) items : A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder. 2. What is the ratio of the volume of the cube to that of the cylinder ? A. 4 : 3 B. 21 : 16 C. 14 : 11 D. 45 : 320 AnswerIn a closed piston-cylinder system, methane was observed to obey the following equation of state P V nb nRT ( ) where b = 0.029 m3 /mol. The temperature and volume are 500 oC and 5 m3 respectively for 100 moles of methane. At this state of the system, the isobaric rate of change of temperature with volume (in oC/m3 ) is __________ (rounded off to second decimal place).0 AnswerA ir enters into an engine cylinder at a pressure of 100 kPa and temperature of 300 K in the suction stroke of an ideal Otto cycle. The cylinder clearance volume is 600 cm^3 and compression ratio is 8:1. The expansion stroke of the cycle is polytropic in nature. The pressure at the beginning of the expansion stroke is 10 MPa and the temperature at the end of the expansion stroke is 1800 K. The polytropic exponent of the expansion stroke is ________. (GATE-Agricultural-Engineering-2018)0 AnswerInside a large nucleus, a nucleon with mass 939 MeVc–2 has Fermi momentum 1.40 fm–1 at absolute zero temperature. Its velocity is Xc, where the value of X is ________ (up to two decimal places). (ℏ𝑐=197 MeV-fm)0 AnswerInside a large nucleus, a nucleon with mass 939 MeVc–2 has Fermi momentum 1.40 fm–1 at absolute zero temperature. Its velocity is Xc, where the value of X is ________ (up to two decimal places). (ℏ𝑐=197 MeV-fm)1 AnswerUndisturbed soil sample is collected from a field when the soil moisture is at field capacity. The inside diameter of the core sampler is 7.5 cm with a height of 15 cm. Weight of the core sampling cylinder with moist soil is 2.81 kg and that with oven dry soil is 2.61 kg. The weight of the core sampling cylinder is 1.56 kg. Assuming π = 3.14, the water depth in centimeter per meter depth of soil (rounded off to two decimal places) is _________.0 AnswerTo simulate the aerodynamic forces on a cylinder of 1 m diameter due to a uniform air flow of 1 m/s at standard temperature and pressure (STP), low-speed wind tunnel experiments at STP are conducted on a 0.1 m diameter cylinder. The free stream air speed in the wind tunnel experiments should be _______ m/s (round off to the nearest integer).0 AnswerAn air-conditioner maintains the room temperature at 27 oC while the outside temperature is 47 oC. The heat conducted through the walls of the room from outside to inside due to temperature difference is 7000 W. The minimum work done by the compressor of the air-conditioner per unit time is ________ W1 AnswerThe figures shown represent the analysis of gas samples collected from a sealed off area in a coal mine over a period of time. The best representation of the progressive change of gaseous environment inside the sealed-off area is0 AnswerIn a tropical cyclone over the Pacific Ocean, surface pressure at 500 km from the cyclone centre is 1000 hPa. Surface pressure at the centre is 900 hPa. Sea surface temperature and surface air temperature remain constant at 28oC and 27oC, respectively. Difference in potential temperature between 500 km and cyclone centre is __________ K. (Give the answer to two decimal places.) Take g = 9.8 m s–2, Cp = 1005 J kg–1 K–1, gas constant R = 287 J kg–1 K–10 AnswerThe pair of variables that always exhibit monotonic decrease with height in the atmosphere is1 AnswerThe inviscid, incompressible flow field resulting from a uniform flow past a circular cylinder of radius R centered at the origin is given by:0 AnswerCurved surface area of a right circular cylinder is 4.4m2. If the radius of the base of the cylinder is 0.7m, find its height. CBSE class 9 Mathematics1 Answer The radius of the base and the height of a solid right circular cylinder are in the ratio 2 : 3 and its volume is 1617 Cu. cm. Find the total surface area of the cylinder. CBSE Mathematics1 AnswerThe speed of sound in the ocean depends on1 AnswerThe curved surface area of a right circular cylinder of height 14 cm is 88cm2. Find the diameter of the base of the cylinder. CBSE class 9 Mathematics1 AnswerA thin-walled cylindrical can with rigid end caps has a mean radius 100R mm and a wall thickness of 5 t mm. The can is pressurized and an additional tensile stress of 50 MPa is imposed along the axial direction as shown in the figure. Assume that the state of stress in the wall is uniform along its length. If the magnitudes of axial and circumferential components of stress in the can are equal, the pressure (in MPa) inside the can is ___________ (correct to two decimal places).1 Answer
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