List of top Questions asked in AIEEE

The escape velocity for a body projected vertically upwards from the surface of earth is $11\, km/s$. If the body is projected at an angle of $45^\circ$ with the vertical, the escape velocity will be
The correct relationship between free energy change in a reaction and the corresponding equilibrium constant $K_{c}$ is:
The magnetic lines of force inside a bar magnet
Three forces start acting simultaneously on a particle moving with velocity $\vec{v}$ . These forces are represented in magnitude and direction by the three sides of a triangle ABC(as shown). The particle will now move with velocity
The sum of the radii of inscribed and circumscribed circles for an n sided regular polygon of side a, is
Nylon threads are made of
Nylon threads are made up of :
Two identical photo cathodes receive light of frequencies $f_1$ and $f_2$. if the velocities of the photoelectrons (of mass m) coming out are respectively $v_1$ and $v_2$, then
Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon
To demonstrate the phenomenon of interference we require two soruces which emit radiation of
Three charges $-q_1, +q_2$ and $-q_3$ are placed as shown in the figure. The x-component of the force on $-q_1$ is proportional to
The work done in placing a charge of $8 ??10^{-18}$ coulomb on a condenser of capacity 100 micro-farad is
The physical quantities not having same dimensions are
The number of real solutions of the equation $x^2 - 3 |x| + 2 = 0$ is
The length of a simple pendulum executing simple harmonic motion is increased by $21\%$. The percentage increase in the time period of the pendulum of increased length is
The image formed by an objective of a compound microscope is
The displacement of a particle varies according to the relation $x = 4(cos\, pt + sin \,pt).$ the amplitude of the particle is
In Bohr series of lines of hydrogen spectrum, the third line from the red end corresponds to which one of the following inner-orbit jumps of the electron for Bohr orbits in an atom of hydrogen ?
If $A = \begin{bmatrix}a&b\\ b&a\end{bmatrix}$ and $A^{2}\begin{bmatrix}\alpha&\beta \\ \beta&\alpha\end{bmatrix}$, then
During dehydration of alcohols to alkenes by heating with concentrated $H _{2} SO _{4}$ the initiation step is :
Which one of the following is an amphoteric oxide?
If $f (a + b - x) = f (x)$, then $\int\limits^{b}_{{a}}x\, f\, (x) \,dx$ is equal to
If $f(x) = \begin{cases} xe^{-\left(\frac{1}{\left|x\right|}+\frac{1}{x}\right)}, & \text{$x \ne0$} \\[2ex] 0, & \text{$x=0$} \end{cases}$ then $f (x)$ is
If $f (x) = x^n$, then the value of $f \left(1\right)-\frac{f '\left(1\right)}{1!}+\frac{f ''\left(1\right)}{2!}-\frac{f "'\left(1\right)}{3!}+\dots+\frac{\left(-1\right)^{n}f ^{n}\left(1\right)}{n!}$ is
The real number $x$ when added to its inverse gives the minimum value of the sum at $x$ equal to