List of top Questions asked in AIEEE

A 10 kW transmitter emits radio waves of wavelength 500 m. The number of photons emitted per second by the transmitter is of the order of
Currents of a $10$ ampere and $2$ ampere are passed through two parallel thin wires $A$ and $B$ respectively in opposite directions. Wire $A$ is infinitely long and the length of the wire $B$ is $2\, m$. The force acting on the conductor $B$, which is situated at $10\, cm$ distance from $A$ will be
The circuit in figure consists of wires at the top and bottom and identical springs as the left and right sides. The wire at the bottom has a mass of $10\, g$ and is $5\, cm$ long. The wire is hanging as shown in the figure. The springs stretch $0.5\, cm$ under the weight of the wire and the circuit has a total resistance of $12 \, \Omega$. When the lower wire is subjected to a static magnetic field, the springs, stretch an additional $0.3\, cm$. The magnetic field is
A wave represented by the equation $y_1$ = $a\, cos (kx - \omega \,t$) is superimposed with another wave to form a stationary wave such that the point $x = 0$ is node. The equation for the other wave is
The disturbance $y (x, t)$ of a wave propagating in the positive x-direction is given by $y = \frac{1}{1+x^{2}}$ at time $t = 0$ and by $y = \frac{1}{\left[1+\left(x-1^{2}\right)\right]}$ at $t = 2\,s,$ where $x$ and $y$ are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in $m/s$ is
The radius of a calcium ion is 94 pm and of the oxide ion is 146 pm. Thepossible crystal structure of calcium oxide will be
Ionisation energy of $Li$ (Lithium) atom in ground state is $5.4\, eV$. Binding energy of an electron in $Li^+$ ion in ground state is $75.6\, eV$. Energy required to remove all three electrons of Lithium (Li) atom is
A wooden cube (density of wood $'d'$) of side $'\ell'$ floats in a liquid of density $'\rho'$ with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period $'T'$. Then, $'T'$ is equal to :
Identify the compound that exhibits tautomerism.
There are 10 points in a plane, out of these 6 are collinear. If N is the number of triangles formed by joining these points. then :
For each natural number $n, (n + 1)^7 - n^7 -1$ is divisible by 7. For each natural number $n, n^7 - n$ is divisible by 7.
The correct order of acid strength of the following compounds: 
(A) Phenol\(\quad\) 
(B) p-Cresol \(\quad\)
(C) m-Nitrophenol \(\quad\)
(D) p-Nitrophenol is :
The change in the optical rotation of freshly prepared solution of glucose is known as
The frequency of light emitted for the transition n = 4 to n = 2 of $He^+$ isequalto the transition in H atom corresponding to which of the following?
Two positive charges of magnitude $'q'$ are placed at the ends of a side (side 1) of a square of side $'2a'$. Two negative charges of the same magnitude are kept at the other corners. Starting from rest, if a charge $Q$ moves from the middle of side $1$ to the centre of square, its kinetic energy at the centre of square is :
The specific heat capacity of a metal at low temperature (T) is given as : $C_{p} \left(kjK^{-1} kg^{-1}\right) = 32 \left(\frac{T}{400}\right)^{3}$ A 100 gram vessel of this metal is to be cooled from $20^{\circ}K$ to $4^{\circ}K$ by a special refrigerator operating at room temperature $\left(27^{\circ}C\right)$. The amount of work required to cool the vessel is :
An aluminium sphere of 20 cm diameter is heated from 0$^{\circ}$C to 100$^{\circ}$C. Its volume changes by (given that coefficient of linear expansion for aluminium $\alpha_{AI} = 23 ? 10^{-6}/^{\circ}C)$
A thin circular disk of radius $R$ is uniformly charged with density $\sigma$ > 0 per unit area. The disk rotates about its axis with a uniform angular speed $\omega$. The magnetic moment of the disk is :
If a spring of stiffness $'k'$ is cut into two parts $'A'$ and $'B'$ of length $\ell_A : \ell_B = 2 : 3$, then the stiffness of spring $'A'$ is given by :
The non aromatic compound among the following is :
A reactant (A) forms two products : $ {A ->[k_1] B,} $ Activation Energy $Ea_1$ $ {A ->[k_2] C,}$ Activation Energy $Ea_2$ If $Ea_2 = 2 Ea_1$, then $k_1$ and $k_2$ are related as :
Sachin and Rahul attempted to solve a quadratic equaiton. Sachin made a mistake in writing down the constant term and ended up in roots (4, 3). Rahul made a mistake in writing down coefficient of x to get roots (3, 2). The correct roots of equation are :
A 5% solution of cane sugar (molar mass 342) is isotonic with 1% of a solution of an unknown solute. The molar mass of unknown solute in g/mol is:
The molality of a urea solution in which 0.0100 g of urea, $[(NH_2)_2CO]$ is added to 0.3000 $dm^3$ of water at STP is:
The number of values of k for which the linear equations $4x + ky + 2z = 0$ , $kx + 4y + z = 0$ and $2x + 2y + z = 0$ possess a non-zero solution is