Agricultural Engineering Gate 2016 Questions with Answer

Ques 1 GATE 2016

Eigen values of the matrix are

Ques 2 GATE 2016

With n being a positive integer, the series ∑_{k=1}ⁿ 1/k^^p for p > 1 is

Ques 3 GATE 2016

The general solution of the differential equation dy/dx = y tan x + sec x is

Ques 4 GATE 2016

The function f(x) = x^6 - 6x^5 + 9x^4 - 4x^3 is

Ques 5 GATE 2016

The function f(x) represents a normal distribution whose standard deviation and mean are 1 and 5, respectively. The value of f(x) at x = 5 is

Ques 6 GATE 2016

Integration by trapezoidal method of log10 (x) with lower limit of 1 to upper limit of 3 using seven distinct values (equally covering the whole range) is

Ques 7 GATE 2016

The value of the integral, ∫ from 0 to π sin^3 (θ) dθ is

Ques 8 GATE 2016

Let I, J, and K are unit vectors along the three mutually perpendicular x, y and z axes, respectively. If F = f(x) i + g(y) j + h(z) k is a continuously differentiable vector point function, then curl F is

Ques 9 GATE 2016

The effective temperature (ET) scale developed in 1972 on the basis of a human model is

Ques 10 GATE 2016

Natural frequency of an undamped operator seat is 5 Hz, and combined weight of the seat and the operator is 880 N. If there are four springs fitted in parallel below the operator seat, the spring rate (or stiffness) of each spring in kN m-1 is

Ques 11 GATE 2016

A force of 8.0 kN is applied perpendicularly to the axis of a crankpin having circular cross-sectional area. The allowable shear stress of the crankpin material is 40.0 N mm-2. If the crankpin fails under double shear, the design diameter of the crankpin in mm is

Ques 12 GATE 2016

A vertical rotor planter has 8 cells on each rotor. The rolling radius of the ground wheel is 200 mm. The ratio of rpm of the ground wheel to that of the rotor shaft is 2:3. If the planting is done at a forward speed of 3.5 km h-1, the plant spacing in the rows in mm will be

Ques 13 GATE 2016

An inclined blade cutting tool of 250 mm width is operating at 200 mm cutting depth. The normal load on the tool and the coefficient of soil-metal friction are 1000 N and 0.3, respectively. The soil cutting force per unit length of cutting edge is 20 N mm-1. The tool lift angle is 40°. The required specific draft (or unit draft) in kPa is