List of top Questions asked in GATE AG

The ratio of moisture content on wet basis to moisture content on dry basis for wheat grain is 4:5. The ratio of weight of dry matter to weight of water in the grain is

A tractor PTO runs at a constant speed of 540 rpm to drive a rotary tiller through a flange coupling having a shear pin parallel to the shaft. The shear pin axis is located 60 mm from the PTO shaft axis. The allowable shear stress of the pin material is 200 MPa. For overload safety, the pin must fail at 150% of the rated torque to protect the gearbox. The tiller requires 40 kW under normal load at the rated PTO speed. Neglecting bending, stress concentration effects, and other losses, the pin diameter, in mm, is nearest to (take \(\pi = 3.14\))

The determinant of a \(2 \times 2\) square matrix is 1.6. If the sum of the eigenvalues is \(-2.8\), the eigenvalues are

A flat belt of negligible mass and thickness drives an output pulley of 0.6 m diameter, rotating at 500 rpm without slip. The arc of contact is \(190^{\circ}\) for this pulley, while it is \(170^{\circ}\) for the smaller input pulley. The coefficient of friction between the belt and the pulleys is 0.30. The measured slack side tension is 250 N. Neglecting other losses, the power transmitted by the belt drive, in kW, is nearest to (take \(\pi = 3.14\))

A tile drainage system having a drainage coefficient of 25 mm drains an area of \(0.2\ \text{km}^2\). The average discharge from the system (in \(\text{m}^3.\text{s}^{-1}\)) is ________. (Rounded off to three decimal places)

A tubewell operating 10 hours per day discharges water at a rate of \(25\ \text{m}^3.\text{h}^{-1}\). The average irrigation depth is 80 mm, and the irrigation interval is 20 days. If the intensity of irrigation is 80%, the culturable command area (in hectares) is ________. (Rounded off to two decimal places)

The impeller speed of a centrifugal pump is increased by 30%. The power requirement of the pump increases by \(n\) times. The value of \(n\) is ________. (Rounded off to two decimal places)

The value of the integral \(I = \int_0^1\int_0^1 x\cos(xy)\,dx\,dy\) is

Mechanical model/method NOT related to rheological behaviour of food products is known as

At an initial pressure of 100 kPa, 1 kg air is compressed reversibly from 15 litres to 1 litre at final pressure of 2000 kPa. Neglecting other losses, the Polytropic Exponent (n) is ________. (Rounded off to three decimal places)

Specific heat, coefficient of viscosity, and thermal conductivity are related in the

Air carrying dust particles enters a cyclone separator of 800 mm diameter at a tangential velocity of 30 \(\text{m.s}^{-1}\) near the wall. The average diameter of the dust particles is 100 \(\mu\text{m}\). The separation factor is nearest to (Take \(g = 9.81\) \(\text{m.s}^{-2}\))

A circular mild steel storage bin of 8 m height contains wheat having bulk density of 800 \(\text{kg.m}^{-3}\). The coefficient of static friction between wheat grain and bin wall is 0.40 and hydraulic radius of the bin is 1 m. Equivalent diameter of the bin, in m, is

By depth-area-duration (DAD) analysis, the maximum average depth of rainfall over a \(10^{3}\) \(\text{km}^2\) catchment due to a 6-hour storm is 80 mm. For the same storm, the maximum average depth of rainfall for a \(10^{4}\) \(\text{km}^2\) catchment, in mm, is

Dimensionless parameter among the following options is

It is given that the water activity of a food is equal to the relative humidity of the atmosphere that is in equilibrium with the food. The partial pressure of water vapour of the food at a specific temperature is

A natural colloidal clay, having the characteristics of absorbing water and swelling 8 to 15 times its dry size, used as an efficient and effective sealing material for farm ponds, is

When the bed slope of the discharge carrier in a chute spillway changes from steeper to milder, we provide a

The RMS sound pressure is increased by 50%. This increases the sound pressure level, in dB, nearly by

A 2WD tractor's driving axle experiences total dynamic normal load of 28 kN. The driving wheels have 0.60 m rolling radius. The total driving axle torque measured is 10.7 kN.m. At 18% wheel slip, the coefficient of net traction is 0.35. Tractive efficiency of the driving wheels, in %, is nearest to

In wind erosion, the amount of soil transported varies

A trapezoidal channel carries \(5\ \text{m}^3\text{s}^{-1}\) of water under uniform flow condition. The channel has a bottom width of 2 m, side slope of 2:1 (horizontal: vertical), and a bed slope of 1%. If the Manning roughness coefficient is 0.03, the conveyance of the channel, in \(\text{m}^3\text{s}^{-1}\), is

Fuel property that predominantly governs 'hard / cold starting' in SI engine is P; and the property that predominantly governs 'ignition delay' in CI engine is Q. Identify the correct option for P and Q combination.

A tractor engine delivers 382 N.m brake torque at a rated speed of 2000 rpm. The radiator cooling fan draws 5% of the engine brake power. The fan pushes \(2.8\ \text{m}^3\text{s}^{-1}\) of air against 0.9 kPa static pressure rise. Assuming air as incompressible, and ignoring other losses, the fan efficiency, in %, is nearest to (Take \(\pi = 3.14\))

A plough attachment, which is a miniature plough bottom that cuts a narrow, shallow furrow ahead of the shin and moves trash and roots toward the main furrow so that they are completely covered by the mouldboard, is called as