List of top Questions asked in ICAR AIEEA (PG)- 2022

The change in volume of a certain mass of liquid is observed to be \(1/500\) of original volume, when pressure on it is increased by \(50 \text{ kgf/cm}^2\) (or \(5000\text{ kN/m}^2\)). Find the bulk modulus of liquid
Phosphate potential \((pK_{sp})\) = ?
Where will be the location of centre of pressure if a beaker contains water up to a height of 'h'
Given below are two statements
Statement I: If net work done is positive, the kinetic energy of a moving object increases.
Statement II: If net work done is negative, the displacement of a moving object accelerates.
In light of the above statements, choose the most appropriate answer from the options given below
What is the pressure exerted in \(\text{kN/m}^2\) at a point \(1070\text{ mm}\) below the free surface of water?
Forces are called coplanar when all of them acting on a body lie in
“The market value of all final goods and services produced within a nation in a given year.” This is best describes
The hydraulic jump occurs in a channel when
Match List I with List II
List I:
A. Profit maximization factor demand function
B. Not a market failure
C. Most liquid asset
D. Coefficient of determination \(R^2\)
List II:
I. ESS/TSS
II. Factor and output prices
III. Bonds
IV. Economics of scale
Choose the correct answer from the options given below:
The motor used for the compressors is
What is Joule/second
Solve
\[ y e^{x/y} dx = (x e^{x/y} + y^2) dy, \quad y \neq 0 \]
Solve the differential equation
\[ \cos x \frac{dy}{dx} - \cos 2x = \cos 3x \]
The procedure adopted in the Gauss- Jordan method in solving linear simultaneous equation is that
A. It is required to assume initial approximate values of the variables
B. It reduces the given system of equation to an equivalent triangular system
C. It reduces the given system of equation to a diagonal matrix
D. The given matrix is factored into lower and upper triangular matrix
Choose the correct answer
The differential equation corresponding to \(y = e^{mx}\) by eliminating \(m\) is
When common salt is dissolved in water, the surface tension of saltwater is
One newton is equal to_____
Given below are two statements:
Statement I: A random variable that assume a infinite or a unaccountably infinite number of values is called continuous random variable.
Statement II: A random variable is called discrete if it has either a finite or a countable number of possible values.
In light of the above statements, choose the most appropriate answer:
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The polynomial equation \(x(x+1) + 8 = (x+2) \times (x-2)\) is a linear equation.
Reason R: There is only one variable.
In light of the above statements, choose the correct answer:
A subset of the sample space associated with a random experiment, is called an
For mid values of 30, 38, 48, 57 and 66, the second class of distribution is
Given below are two statements:
Statement I: For radial flow impellers, brake power (BP) generally increases from a non-zero value to a peak and then declines slightly as discharge (Q) increases from zero.
Statement II: For mixed flow impellers, brake power (BP) increases steadily from a non-zero value as discharge (Q) increases.
In light of the above statements, choose the correct answer from the options given below:
The range of given data 9, 13, 15, 17, 19, 21, 28, 8, 34 is
If coefficient of variation is 100, the mean of the data is 25, the standard deviation
A drainage canal discharges 0.2 cubic metres of water per second in a day and drains 250 hectares. Calculate the capacity required at the outlet end of the drainage ditch draining a watershed of 300 hectares.