List of top Questions asked in Tamil Nadu Common Entrance Test

In unconventional superconductivity, the pairing interaction is
Which of the following ceramic materials will be used for spark plug insulator?
The energy gap (eV) at 300K of the material GaAs is
Which one of the following behaves like an intrinsic semiconductor, at absolute zero temperature?
Which of the following molecules will not display an infrared spectrum?
Which one of the following is not a primary fuel?
Which one of the following flows in the internal circuit of a galvanic cell?
What are the factors that determine an effective collision?
Which of the following can adsorb larger volume of hydrogen gas?
What is the full form of URL?
A program that converts Source Code into machine code is called
Speed of the processor chip is measured in
A discrete random variable \( X \) has the probability mass function given by \[ p(x) = c x, \quad x = 1,2,3,4,5. \] The value of the constant \( c \) is:
For applying Simpson's \( \frac{1}{3} \) rule, the given interval must be divided into how many number of sub-intervals?
Which of the following formula is used to fit a polynomial for interpolation with equally spaced data?
If \( A = [a_{ij}] \) is the coefficient matrix for a system of algebraic equations, then a sufficient condition for convergence of Gauss-Seidel iteration method is:
Given the inverse Fourier transform of \[ f(s) = \begin{cases} a - |s|, & |s| \leq a \\ 0, & |s| > a \end{cases} \] The value of \[ \int_0^\pi \left( \frac{\sin x}{x} \right)^2 dx \] is:
The Region of Convergence (ROC) of the signal \( x(n) = \delta(n - k), k>0 \) is:
The only function from the following that is analytic is:
The area between the parabolas \( y^2 = 4 - x \) and \( y^2 = x \) is given by:
The solution of the given ordinary differential equation \( x \frac{d^2 y}{dx^2} + \frac{dy}{dx} = 0 \) is:
The shortest and longest distance from the point \( (1,2,-1) \) to the sphere \( x^2 + y^2 + z^2 = 24 \) is:
Let \[ M = \begin{bmatrix} 1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix} \] The maximum number of linearly independent eigenvectors of \( M \) is:
If the system of equations: \[ 3x + 2y + z = 0, \quad x + 4y + z = 0, \quad 2x + y + 4z = 0 \] is given, then:
If \( A \) is a \( 3 \times 3 \) matrix and the determinant of \( A \) is 6, then find the value of the determinant of the matrix \( (2A)^{-1} \):