List of top Questions asked in AIEEE

Rate of a reaction can be expressed by Arrhenius equation as : $K=Ae^{-E/RT}$ In this equation, E represents :
In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from rest in this region. The path of the particle will be a :
Which of the following chemical reactions depicts the oxidizing behaviour of $H_{2} SO_{4}$ ?
How many moles of magnesium phosphate, $Mg_{3} \left(po_{4}\right)_{2}$ will contain 0.25 mole of oxygen atoms ?
HBr reacts with $CH_{2} =CH-OCH_{3}$ under anhydrous conditions at room temperature to give:
The organic chloro compound, which shows complete sterochemical inversion during a $ {S_{N^2}}$ reaction, is
A material B? has twice the specific resistance of ?A?. A circular wire made of B? has twice the diameter of a wire made of ?A?. Then for the two wires to have the same resistance, the ratio $l_{B} / l_{A} $ of their respective lengths must be :
A long solenoid has 200 turns per cm and carries a current i. The magnetic field at its centre is 6.28 x$10^{-2}$ weber/$m^{2}$. Another long solenoid has 100 turns per cm and it carries a current i/3. The value of the magnetic field at its centre is:
In a common-base mode of a transistor, the collector current is 5.488 mA for an emitter current of 5.60 mA. The value of the base current amplification factor $\left(\beta\right)$ will be :
Which of the following units denotes the dimensions $\frac {ML^{2}} {Q^{2}},$ where $Q$ denotes the electric charge ?
A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is :
The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. The period of oscillation is :
A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up is :
Starting from the origin a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy ?
Assuming the sun to be a spherical body of radius R at a temperature of T K, evaluate the total radiant power, incident on earth, at a distance r from the sun : where $r_{0}$ is the radius of the earth and $\sigma$ is Stefan?s constant.
A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 m while applying die force and the ball goes upto 2 m height further, find the magnitude of the force. Consider g = 10 m/$s^{2}$:
A mass of M kg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of 45? with the initial vertical direction is :
The density (in $g\, mL^{-1}$) of a $3.60\, M$ sulphuric acid solution that is $29\%\,H_2SO_4$ (Molar mass $= 98\, g mol^{-1}$) by mass will be
Two lenses of power $-15\, D$ and $+ 5\,D$ are in contact with each other. The focal length of the combination is
The velocity of a particle is $v = v_0 + gt + ft^2$. If its position is $x = 0$ at $t = 0$, then its displacement after unit time $(t = 1)$ is
If in a $p-n$ junction diode, a square input signal of $10\,V$ is applied as shown
Then the output signal across $R_L$ will be
If $M_O$ is the mass of an oxygen isotope $_{8}O^{17}, M_{P}$ and $M_{N}$ are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is
A point mass oscillates along the $x-axis$ according to the law $x = x_0 \,cos (\omega t - \pi/4)$. If the acceleration of the particle is written as $a = A cos(\omega t + \delta)$ then
A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be
A $5 .25\%$ solution of a substance is isotonic with a $1.5\%$ solution of urea (molar mass = $60 \,g \,mol^{-1})$in the same solvent. If the densities of both the solution are assumed to be equal to $1.0 \,g \,cm^{-3}$ molar mass of the substance will be