List of top Questions asked in TS PGECET- 2026

The texture of igneous rocks depends mainly on

The initial value problem \[ (x-x^2)\frac{dy}{dx} = (2x-1)y, \qquad y(x_0)=y_0, \] has a unique solution if \((x_0,y_0)\) equals to

The particular integral of the differential equation \[ (D^2+1)y = \sin x\,\sin2x \] is

Suppose that \(X\) and \(Y\) are independent random variables with probability densities \[ f_X(x)= \begin{cases} \dfrac{8}{x^3}, & x>2,[2mm] 0, & \text{elsewhere}, \end{cases} \qquad f_Y(y)= \begin{cases} 2y, & 0 0, & \text{elsewhere}. \end{cases} \] Then the expected value of \(Z=XY\) is

Curl of \[ \vec{V}=e^{xyz}(\hat{i}+\hat{j}+\hat{k}) \] at the point \((1,1,1)\) is

Given \[ \int_{0}^{3} f(x)\,dx=\int_{0}^{3}(4x^2-1)\,dx \] is approximated using Simpson's \(\frac{1}{3}\) rule with \(3\) subintervals and gives \(f(0)+a+f(3)\), then \(a\) is

If \(f(x)=|\sin x|\) for \(-\pi<x<\pi\) and the Fourier series of \(f(x)\) is \[ f(x)=\sum_{n=0}^{\infty}(a_n\cos nx+b_n\sin nx), \] then the value of the Fourier coefficient \(a_0\) is

Ultrasonic transducers in medical imaging are based on

Third-generation CT scanners use

The eigenvalues of a \(3\times3\) real matrix \(A\) are \(0\), \(-2\), \(-2\) and it satisfies the equation \[ A^4+4A^3=KA^2, \] then the value of \(K\) is

EMG signals have the highest frequency among EEG, ECG, and EMG because

If \[ u_n=\frac{\sqrt{2n^2-5n+1}}{4n^3-7n^2+2} \] and \[ v_n=\sqrt{n^2+1}-\sqrt{n^2-1}, \] then

Numerical Aperture (NA) of an optical fiber is given by

Compared to single-mode fibers, multimode fibers have

Which optical source is preferred for long-distance, high-speed fiber communication?

Alpha waves are dominant when a person is

The typical mid-IR region lies between

A photodiode with a bandgap energy of \(1.43\ \text{eV}\) has a cut-off wavelength approximately equal to

Beer--Lambert law states that absorbance is proportional to

If the transmittance of a sample is \(10\%\), the absorbance is

An increase in reverse bias of a photodiode results in

In a Michelson interferometer, one fringe shift corresponds to a mirror displacement of

In a mass spectrometer, ions are separated based on their

A PI controller is preferred when

Compared to hydraulic systems, pneumatic systems have