List of top Questions asked in GATE AG

Match the following hulling mechanisms (Column 1) with the corresponding machines (Column 2). 
\[ \begin{array}{|c|c|} \hline \textbf{Column 1} & \textbf{Column 2} \\ \hline \text{P: Shear and compression} & \text{1: Blade type emery scourer} \\ \text{Q: Friction and abrasion} & \text{2: Horizontal Gota machine} \\ \text{R: Shear, compression and friction} & \text{3: Rubber roll dehusker} \\ \text{S: Impact, abrasion and friction} & \text{4: Under runner disc sheller} \\ \hline \end{array} \]

A bushy crop stem of diameter 6 mm is cut by bending. Modulus of elasticity = 1500 N·mm$^{-2}$, ultimate tensile strength = 35 N·mm$^{-2}$. Determine force causing failure at 50 mm height. (Take $\pi = 3.14$)
 

In a field test of a drip irrigation system: 
Min = 45 L/h, Max = 65 L/h, Avg = 50 L/h. 
Application efficiency = 90%. 
Emitter coefficient of variation = 0.07. 
One emitter per plant. 

Find the drip irrigation efficiency (round off to 2 decimals).

Trace the matrix \[ \begin{bmatrix} 3 & 2 & 1 & 4 \\ 5 & 7 & 8 & 1 \\ 2 & 4 & 6 & 7 \\ 9 & 6 & 4 & 2 \end{bmatrix} \] (answer in integer).

In butter, the fishy flavor defect is due to the decomposition of

One-dimensional generalized heat conduction equation representing temperature distribution in a sphere, based on thermal conductivity k, specific heat capacity \(C_p\), density \(\rho\), and energy generation E, can be written as \(\dfrac{1}{r^n}\dfrac{\partial}{\partial r}\left(r^n k\dfrac{\partial T}{\partial r}\right) + E = \rho C_p\dfrac{\partial T}{\partial t}\), where the value of n is

The approximate relationship between Sediment Delivery Ratio (SDR) and drainage area (A) shows that SDR varies
While assessing the intensity of agricultural drought, a negative value of aridity index indicates that the area is classified as
The hydrologic reservoir routing methods use
During ploughing with a tractor mounted mould board plough, the mast of three point hitch system would be
Pitting is a process of
In a tyre axis system as defined by Society of Automotive Engineers, the moment acting about z-axis is called

If x is an integer with \(x > 1\), the solution of \(\lim_{x \to \infty} \left(\dfrac{1}{x^2} + \dfrac{2}{x^2} + \dfrac{3}{x^2} + \cdots + \dfrac{x-1}{x^2} + \dfrac{1}{x}\right)\) is

Let the vector \(\vec{v} = v_1\hat{i} + v_2\hat{j} + v_3\hat{k}\) be a differentiable vector function of Cartesian coordinates x, y and z. The curl of the vector \(\vec{v}\) is given by \(\text{curl } \vec{v} =\)
Molecular masses of water and air are 18.02 kg/(mol·mol) and 28.97 kg/(mol·mol), respectively. The room temperature is 40°C under total pressure 101.3 kPa. The relative humidity at 40°C is 73.7 kPa. Find the relative humidity in percent.
A cylindrical storage bin with an internal diameter of 4 m and a height of 16 m is completely filled with paddy having bulk density of 640 kg·m\(^3\). The angle of internal friction between grain and bin wall is \(30^\circ\) and the ratio of horizontal to vertical pressures is 0.4. When the grain filling rises from 4 m to 16 m in height, the lateral pressure increases by a multiple of \(\underline{\hspace{1cm}}\).
An air screen grain cleaner unit of capacity one ton·h\(^{-1}\) with two screens was evaluated with a feed containing 8.5% impurities. During the operation, the clean grain at blower outlet, overflow of first screen, and underflow of second screen were found to be 0.3%, 1.2% and 0.8%, respectively. If the clean grain contains 0.6% impurities, the cleaning efficiency of the cleaner unit in percent would be \(\underline{\hspace{1cm}}\) (round off to one decimal place).
One side of a solid food block of 10 cm thickness is subjected to a heating medium having a film heat transfer coefficient of 70 W·(m\(^2\)·°C)\(^{-1}\). The other side of the food block is being cooled by a medium having a film heat transfer coefficient of 100 W·(m\(^2\)·°C)\(^{-1}\). The food block has a thermal conductivity of 0.2 W·(m·°C)\(^{-1}\) and the contact area of the block available for heat transfer is 1 m\(^2\). Heat transfer rate in the block at steady state is 100 J·s\(^{-1}\). The temperature difference between the two sides of the block in °C is \(\underline{\hspace{1cm}}\) (round off to 2 decimal places).
Two meshed involute gears transmit 1.0 kW power. The pressure angle is \(20^\circ\) and the pitch circle diameter of the large gear is 20 cm. If only a pair of teeth meshes at a time, the normal force acting between the meshed teeth in N will be \(\underline{\hspace{1cm}}\) (round off to one decimal place).
A horizontal axis lift type wind rotor of diameter 4 m is used to pump water at a wind velocity of 15 km/h at standard atmospheric pressure and temperature (density of air is 1.23 kg/m\(^3\)). If velocity of wind leaving the rotor blade is reduced to one-third of the approaching wind velocity, the thrust acting on the blade of the wind rotor in N is \(\underline{\hspace{1cm}}\) (round off to two decimal places).
A small watershed receives 90 mm of rainfall in a day. If the initial abstraction is considered as 25% of the potential maximum retention of soil, and the land use changes from forest (with \(S = 136\) mm) to cultivated land (with \(S = 64\) mm), the change in daily runoff volume in percent is \(\underline{\hspace{1cm}}\) (round off to one decimal place).
The most economical trapezoidal channel section with 1:1 (horizontal:vertical) side slope is designed to carry a maximum of 40 cm depth of water at its full capacity. The bed slope of the channel is 1:2500 and the Manning's roughness coefficient of channel section is 0.01. The estimated discharge capacity of the channel in m\(^3\).s\(^{-1}\) is \(\underline{\hspace{1cm}}\) (round off to 2 decimal places).
A windbreak of 15 m height and 200 m length is established to protect land from wind erosion. The minimum wind velocity at the height of 15 m above the ground required to move the most erodible soil fraction is 9.6 m/s. The wind direction deviates by 20° from the line perpendicular to the windbreak. The area protected by the windbreak is \(\underline{\hspace{2cm}}\) ha.
Water is discharged from a tank through a rectangular orifice of width 1.5 m and height 1.2 m. The water level in the tank is 3.5 m above the top edge of the orifice. The coefficient of discharge is 0.62. Find the discharge through the orifice in m³·s⁻¹.
Two fully penetrating wells are dug 1.4 km apart in a confined aquifer. The difference in their piezometric levels is 4.0 m. The aquifer has a hydraulic conductivity of 3.5 m/day and effective porosity of 40%. The time taken for water to move from one well to the other in days is \(\underline{\hspace{2cm}}\).