List of top Questions asked in TS PGECET

During a sideslip, the pilot applies

Corner point in the \(V\)-\(n\) diagram is

An aircraft has a minimum sink rate of \(1.5\ \text{m/s}\). If it starts gliding from an altitude of \(1800\) metres, what is its maximum endurance (loiter time) in minutes?

Crosswind primarily affects

In an aircraft, what is the condition for the absolute ceiling?

An airplane with symmetric airfoil requires a lift coefficient \(0.52\). If the lift curve slope is \(0.1\) per degree and the angle of zero lift is \(0\), calculate the required angle of attack (in radians).

If a pilot fails to update the altimeter setting when flying from a high-pressure area to a low-pressure area, the aircraft altitude will be

How does an increase in density altitude (lower air density) affect the take-off ground roll distance (\(S_g\))?

For a jet airplane, the maximum rate of climb occurs at the speed where

An aircraft is gliding at an altitude of \(3000\) metres with the engine failed. The aircraft has a maximum Lift-to-Drag ratio \((L/D)_{\max\) of \(15\). Calculate the maximum horizontal distance the aircraft can cover before hitting the ground.

An aircraft has the drag polar \[ C_D=0.020+0.040C_L^2. \] What is the total drag coefficient when the aspect ratio is \(4\)?

A multistep method for solving a differential equation numerically among the following is

Equivalent Air Speed (EAS) is

Which of the following best defines Density Altitude?

The "elevons" are primary control surfaces that combine the functions of the following two components?

The iterative formula for finding \(2^{\frac{1}{5}}\) using Newton-Raphson method is

The complete solution of \[ y^3\frac{\partial u}{\partial x} + x^2\frac{\partial u}{\partial y} = 0 \] is \(u(x,y)=\)

The solution of \[ \frac{dy}{dx} + \left[2(x-1)\sin x+x(x-2)\cos x\right]y = \frac{e^{2x\sin x}}{e^{x^2\sin x}}, \] at \(x=2\) if \(y(\pi)=0\) is

Let \[ f(x)=x^3-\frac32x^2, \] which of the following is not correct?

If \[ I=\int_C x^2y\,dx-xy^2\,dy, \] where \(C\) is the circle \[ x^2+y^2=16, \] then \(2I=\)

The Laplace transform of \[ \int_{0}^{t} p\sin(t-p)\,dp \] is

Consider the system of equations \[ x+y+z=4\mu,\qquad x+2y+2z=10\mu,\qquad x+3y+4\lambda z=\mu^2+15, \] where \(\lambda\) and \(\mu\) are real numbers. Which of the following is correct?

Evaluate \[ \lim_{x\to0}\frac{e^{\tan x}-e^{\sin x}}{(1-\cos x)\tan x} \]

If \(P\) is an orthogonal matrix of order \(3\times3\), \(A=\begin{bmatrix}1& 2& 2\\2& 1& 2\\2& 2& 1\end{bmatrix}\) and the eigenvalues of \(P^{T}AP\) are \(\alpha,\beta,\gamma\), then \(\alpha^2+\beta^2+\gamma^2=\)