List of top Questions asked in TS PGECET- 2026

If \(x_0=1.2\) is the initial guess of the solution of \(x^3+2x-1=0\), then the \(1^{\text{st}}\) iteration solution \(x_1=\)

The general solution of one dimensional wave equation \[ \frac{\partial^2v}{\partial t^2} = c^2 \frac{\partial^2v}{\partial x^2} \] is \(u(x,t)=\)

Mean and variance pair is given below. A pair representing the data of a binomial distribution is

A vertical rocket has mass \(10,000\ \text{kg}\), thrust \(150,000\ \text{N}\) and drag \(20,000\ \text{N}\). The instantaneous acceleration (in \(\text{m/s}^2\)) is

Fourier series of \(x^2,\;0<x<2\) is \[ f(x)=\frac{a_0}{2} +\sum_{n=1}^{\infty}a_n\cos(n\pi x) +\sum_{n=1}^{\infty}b_n\sin(n\pi x), \] then \(b_2=\)

A convergent series from the given series is

Gravity loss during rocket flight occurs because

Drag loss in a rocket flight is

A rocket produces maximum thrust in vacuum because

Which of the following increases the thrust of a rocket engine?

A rocket stage that ignites after the previous stage is jettisoned is called

In multi-stage rockets, the stage mass fraction is defined as

Liquid chemical rockets are often classified by the type of propellants used. Which of the following is correct?

For maximum thrust in a rocket nozzle, the exit pressure should be

One major advantage of liquid propellant rockets over solid propellant rockets is

Specific impulse of a rocket engine is defined as

In a solid propellant rocket, the thrust level is primarily controlled by

The primary function of the inducer in a centrifugal compressor is to

A centrifugal compressor has an impeller tip speed of \(200\ \text{m/s}\). The whirl component of absolute velocity at the impeller exit is \(150\ \text{m/s}\). The whirl component of velocity at the inlet is zero. The specific heat at constant pressure is \(1\ \text{kJ/kg K}\). Using Euler's compressor principle, determine the temperature rise across the impeller.

The work done per unit mass in a centrifugal compressor mainly depends on

Compressor surge occurs when

Slip factor in a centrifugal compressor accounts for

Stage efficiency of a single-stage axial compressor is defined as

The degree of reaction in an axial compressor stage is

In an impulse turbine stage (degree of reaction \(=0\))