List of top Questions asked in GATE Engineering Sciences

A floating hot air balloon with volume 1000 m³ and gross mass (excluding the air in the balloon) 100 kg is in hydrostatic balance where the external air temperature is 10°C and density is 1 kg m³. The temperature of the air inside the balloon is ......... °C. (Round off to the nearest integer.) [Assume that the gas constant for dry air is 287 J K\(^{-1}\) kg\(^{-1}\).]
Acceleration due to Coriolis force of a water parcel at a location P (67°E, 20°N) moving with a speed of 0.35 m/s is .......... \(\times 10^{-5}\) m/s\(^2\). (Round off to two decimal places)
[Assume the angular velocity of the Earth is \(7.3 \times 10^{-5}\) s\(^{-1}\))]
Accumulated rainfall is often measured in mm. If the density of rain water is 1000 kg/m\(^3\) then, one mm of rain is equal to ......... kg/m\(^2\) of rain. (in integer).
Which one of the following is the main cause of the land-sea temperature contrast that drives phenomena like sea breeze and the Indian summer monsoon?
The time period of the inertial oscillation at a location R is 1.5 times that of a particle moving at a speed of 0.5 m/s at a location S (87°E, 45°S). Which of the following is the latitude of location R? (Round off to the nearest integer)
A rotating weather system has a tangential velocity of 100 m/s, diameter of 1 km, and located at a latitude where the Coriolis parameter is \( 10^{-4} \, {s}^{-1} \). Which one of the following statements is true about this weather system?
The directions of the South Pacific Subtropical Gyre and the North Atlantic Subtropical Gyre are ........... and .........., respectively.
A unidirectional composite of a resin is prepared with continuous fibers, wherein the volume fraction of the fiber in the composite is 0.7. Assume that the resin has a modulus of 9 GPa and the fiber has a modulus of 90 GPa. A sample of this composite, possessing a breadth of 4 mm and a thickness of 1 mm, is subjected to a uniaxial tensile test along the direction of the fiber.
Corresponding to a strain of 0.5%, the force applied on the sample is ............ N. {(Round off to the nearest integer)}
During which of the following times of the day is the 2 m air temperature usually the lowest at a tropical location?
Which one of the following is the main reason why tropical cyclones rarely form over the Bay of Bengal during the summer monsoon season?
A rubber contains 70 wt% butadiene (molar mass = 54 g/mol), 20 wt% isoprene (molar mass = 68 g/mol), 5 wt% sulfur and 5 wt% carbon black. Assume that all the sulfur is present in crosslinks. If each sulfide crosslink contains an average of two sulfur atoms, the percentage of possible crosslinks that are joined by vulcanization is ............%. {(Round off to one decimal place)}
At which of the following locations in the atmosphere is the anvil of a towering cumulonimbus cloud usually located?
Consider that specific heat (0 to 50°C) of water, water vapour, and air remains constant: 4.48, 1.88, and 1.0 kJ/(kg °C), respectively. Assuming, the heat energy required to convert 1 kg of water to water vapour at 0°C is 2000 kJ, the enthalpy (in kJ/kg dry air) of atmospheric air containing 0.05 kg water vapour per kg dry air at 50°C is ............. (rounded off to 1 decimal place).
A fruit juice is concentrated using an ultrafiltration membrane. A feed stream at 10 kg/min with 6% total solids (by weight) is increased to 20% total solids (by weight). The membrane tube has 10 cm inside diameter and the pressure difference across the membrane is 2000 kPa. If the permeability constant of the membrane is \( 5 \times 10^{-5} \, {kg water} / ({m}^2 {kPa s}) \), the length of membrane tube (in m) is ............. (rounded off to 2 decimal places).
The density of an amorphous polymer is \(0.77 \, {g/cm}^3\) and that of its crystalline counterpart is \(0.99 \, {g/cm}^3\). The density of a semi-crystalline sample of this polymer is found to be \(0.88 \, {g/cm}^3\).
The degree of crystallinity (on weight basis) of this semi-crystalline sample is ............ {(Round off to two decimal places)}
The heat of polymerization of ethylene is 25 Kcal/mol. The amount of heat generated during the polymerization of 5.6 kg polyethylene is ............ Kcal. {(Round off to the nearest integer)}
Titration was used to determine the molar mass of two linear monodisperse polymers A and B. Both the polymers possess the same repeat unit and contain acid end-groups. First, 10 g of polymer A was titrated with 5 mL of a 0.1 M alkali solution. In a separate experiment, 5 g of polymer B was titrated with 5 mL of a 0.1 M alkali solution. All of the alkali solution reacted with the acid end-groups present in both polymer A and polymer B.\ The ratio of the molar mass of A to the molar mass of B is ............ {(Round off to one decimal place)}
Crystallization is favored in polymer melts when the chain entanglement is ............. and only polymers with ............. molecular arrangement can crystallize.
Thermoplastic Polyurethane and Polyamide 6 both contain amide linkages, but when compared to Polyurethane, Polyamide 6 shows higher melting point due to ..............
Which one of the following permits the direct determination of intrinsic viscosity of a polymer solution for known molecular weight of the polymer?
Which one of the following measures of viscosity is dimensionless?
Under which combination of conditions does the glass transition of a polymer increase?
Polymer “Z” has a high melting point and it decomposes even before it melts. Hence, it is usually dissolved and subsequently regenerated. Rayon is one such regenerated form. Identify the polymer “Z” from the following options.
Air at 101 kPa, 15°C and 50% relative humidity is first heated to 20°C in a heating coil, and then humidified by spraying water on it. In the final state, the air has temperature of 25°C and relative humidity of 85%. The amount of water sprayed (in gm per kg of dry air) is ........ (rounded off to two decimal places). Use the following data: The saturation pressure of water at 15 °C = 1.7057 kPa The saturation pressure of water at 25 °C = 3.1698 kPa
A particular temperature scale is obtained according to the relation: \[ t = ae^{\alpha} + b \] where \( a \) and \( b \) are constants, and \( t \) is in \( ^\circ {C} \). The thermometric property as measured by the thermometer is \( \alpha \). The values of \( \alpha \) at the ice point and steam point are 6 and 9, respectively. The temperature (in \( ^\circ {C} \)) which gives \( \alpha = 7 \) is ........ {(rounded off to two decimal places).}