The matrix P is the inverse of a matrix Q. If I denotes the identitiy matrix, which one of the following option is correct?
The number of parameters in the univariate exponential and Gaussian distributions, respectively, are
Let x be continuos variable defined over the interval $\style{font-family:'Times New Roman'}{(-\infty,\;\infty)}$, and $\style{font-family:'Times New Roman'}{f(x)=e^{-x-e^{-x}}}$. The integral $\style{font-family:'Times New Roman'}{g\left(x\right)=\;\int f(x)\;dx}$ is equal to
An elastic bar of lenght L, uniform cross sectional area A, coefficient of thermal expansion $\style{font-family:'Times New Roman'}\alpha$, and Young's modulus E is fixed at the two ends. The temperature of the bar is increased by T, resulting in an axial strees $\style{font-family:'Times New Roman'}\sigma$. Keeping all other parameter unchanged if the length of the bar is doubled, the axial stress would be
A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is True?
According to IS 456 - 2000, which one of the following statement about the depth of netural axis $\style{font-family:'Times New Roman'}{{\mathrm\chi}_{\mathrm u,\mathrm{bal}}}$ for a balanced reinforced concrete section is correct?
The figure shows a two-hinged parabolic arch of spam L subjected to uniformly distributed load of intensity q per unit length
The maximum bending moment in the arch is qual to
Group I lists the type of gain or loss of strength in soils. Group II lists the property or process responsible for the loss or gain of strength in soils.
The correct match between Group I and Group II is
A soil sample is subjected to a hydrostatic pressure.$\style{font-family:'Times New Roman'}{\mathrm\sigma}$. The Mohr circle for any point in the soil sample would be
A strip footing is resting on the ground surface of a pure clay bed having an undrained cohesion C_{u}. The ultimate bearing capacity of the footing is equal to
A uniformaly distribute line load of 500 kN/m is acting on the ground surface. Based on Boussinesq's theory the ratio of vertical stress at a depth 2 m to that at 4 m, right below the line of loading is
For a steady incompressible laminar flow between two infinite parallel stationary plates the shear stress variation is
The reaction rate involving reactants A and B is given by $\style{font-family:'Times New Roman'}{-k\left[A\right]^\alpha\left[B\right]^\beta}$. Which one of the following statement is valid for the reaction to be a first-order reaction?
The wastewater from a city, containing a high concentration of biodegrable organics is being steadily discharged into a flowing river at a location S. If the rate of aeration of the river water is lower than the rate of degradation of the organics, then the dissolved oxygen of the river water
Which one of the following is NOT present in acid rain?
A super -elevation e is provided on a circuler horizontal curve such that a vehical can be sttoped on the curve without sliding Assuming a design v and maximum cofficient of side friction f_{max}_{,} which one of the following critearea should be satisfied?
A runway is being constructed in a new airport as per the International Civil Aviation Organization (ICAO) recommendations. The elevation and the airport refrence temprature of this airport are 535 m above the mean sea level and $\style{font-family:'Times New Roman'}{22.65^\circ}$ respectively. Consider the effective gradient of runway as 1%. The length of runway required for a design-aircraft under the standaed conditions is 2000 m. Within the framework of applynig sequential corrections as per the ICAO recommendations, the length of runway corrected for the temprature is.
The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as $\style{font-family:'Times New Roman'}{\pm(a\;\mathrm{mm}+b\;\mathrm{ppm})}$. Which one of the following statements is correct?
The number of spectral bands in the Enhanced Thematic Mapper sensor on the remote sensing satellite Landsat-7 is
Consider the following partial differential equation:
$\style{font-family:'Times New Roman'}{3\frac{\partial^2\phi}{\partial x^2}+B\frac{\partial^2\phi}{\partial x\partial y}+3\frac{\partial^2\phi}{\partial y^2}+4\phi=0}$
For this equation to be classified as parabolic , the value of B^{2} must be _____________.