List of practice Questions

Across an oblique shock wave in a calorifically perfect gas,
NACA 2412 airfoil has
For International Standard Atmosphere (ISA) up to 11 km, which of the following statement(s) is/are true?
Let \(\sigma\) and \(\tau\) represent the normal stress and shear stress on a plane, respectively. The Mohr circle(s) that may possibly represent the state of stress at points in a beam of rectangular cross-section under \textit{pure bending} is/are:
An isotropic linear elastic material point under plane strain condition in the x–y plane always obeys:
A high-pressure-ratio multistage axial compressor encounters an extreme loading mismatch during starting. Which of the following technique(s) can be used to alleviate this problem?
The arc length of the parametric curve: \( x=\cos\theta,\; y=\sin\theta,\; z=\theta \) from \( \theta=0 \) to \( \theta=2\pi \) is equal to _________ (round off to one decimal place).
The service ceiling of an airplane is the altitude
Regarding the horizontal tail of a conventional airplane, which one of the following statements is true?
A beam with a symmetrical T-shaped cross-section, as shown in the figure, is subjected to pure bending. The maximum magnitude of the normal stress is realised:
A three-member truss is simply supported at Q and R, and loaded at P by a horizontal force \( F \) as shown. The force in QR is
The closed thin-walled rectangular channel shown in figure (i) is opened by introducing a sharp cut at the center of the bottom edge, as shown in figure (ii). Which one of the following statements is correct?
The region of highest static temperature in a rocket engine and the region of highest heat flux are _______, respectively.
If $\hat{a}, \hat{b}, \hat{c}$ are three mutually perpendicular unit vectors, then $\hat{a} \cdot (\hat{b} \times \hat{c})$ can take the value(s):
The equation of the straight line representing the tangent to the curve \(y = x^2\) at the point (1, 1) is
Let \(\hat{i}, \hat{j}, \hat{k}\) be the unit vectors in the x, y, and z directions, respectively. If the vector \(\hat{i} + \hat{j}\) is rotated about positive \(\hat{k}\) by \(135^\circ\), one gets
The point of maximum entropy on a Fanno-curve in a Temperature–Entropy (T–s) diagram represents the
Consider steady, two-dimensional, incompressible flow over a non-porous flat plate as shown in the figure. For the control volume PQRS, the speed \(u_{\infty}\) at section PQ is uniform and the speed at section RS is given by \(u(y)=A_0\left(\frac{y}{h}\right)^n\), where \(n\) is a positive integer. The value of \(A_0\) for which the flow through section PS will vanish is:
Consider the velocity distribution $u(y)$ shown in the figure. For two adjacent fluid layers L1 and L2, the viscous force exerted by L1 on L2 is _________.
The prevalence of flu in a population is 1%. A diagnostic test has a false positive rate of 10% and a false negative rate of 10%. The probability that a randomly chosen person tests positive is ________ (Round off to three decimal places).
In a deer population, the male-to-female ratio is 1 : 2. The probability that a randomly formed group of size three has 2 males and 1 female is ________ (Round off to two decimal places).
The fitness \( f(n) \) of an individual in a group of size \( n \) is given by \[ f(n) = n(10 - n). \] At evolutionary equilibrium, groups are found in two different sizes. If one group size is 6, the other group size must be ________ (Answer in integer).
Which one or more of the following conditions can lead to an increase in tree densities in tropical savannas?
Gene conversion can lead to which one or more of the following evolutionary outcomes?
If the observed heterozygosity at a locus is 0.6, which one or more of the following could produce this outcome?