List of top Questions asked in Tamil Nadu Common Entrance Test

Which one of the following behaves like an intrinsic semiconductor, at absolute zero temperature?
Which of the following can adsorb larger volume of hydrogen gas?
What are the factors that determine an effective collision?
A program that converts Source Code into machine code is called
What is the full form of URL?
Which one of the following flows in the internal circuit of a galvanic cell?
Which one of the following is not a primary fuel?
For a Binomial distribution with mean 4 and variance 2, the value of \( n \) is:
For applying Simpson's \( \frac{1}{3} \) rule, the given interval must be divided into how many number of sub-intervals?
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:
Which of the following formula is used to fit a polynomial for interpolation with equally spaced data?
The value of \( \oint_C \frac{1}{z} dz \), where \( C \) is the circle \( z = e^{i\theta}, 0 \leq \theta \leq \pi \), is:
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:
The Region of Convergence (ROC) of the signal \( x(n) = \delta(n - k), k>0 \) is:
The value of \( m \) so that \( 2x - x^2 + m y^2 \) may be harmonic is:
The Laplace transform of a signal \( X(t) \) is \[ X(s) = \frac{4s + 1}{s^2 + 6s + 3}. \] The initial value \( X(0) \) is:
The value of the integral \[ \iiint\limits_{0}^{a, b, c} e^{x+y+z} \, dz \, dy \, dx \] is:
The area between the parabolas \( y^2 = 4 - x \) and \( y^2 = x \) is given by:
The complete integral of the partial differential equation \( pz^2 \sin^2 x + qz^2 \cos^2 y = 1 \) is:
If \( \nabla \phi = 2xy^2 \hat{i} + x^2z^2 \hat{j} + 3x^2y^2z^2 \hat{k} \), then \( \phi(x,y,z) \) is:
The only function from the following that is analytic is:
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:
If the system of equations: \[ 3x + 2y + z = 0, \quad x + 4y + z = 0, \quad 2x + y + 4z = 0 \] is given, then: