List of top Questions asked in AIEEE

One mole of magnesium nitride on the reaction with excess of water gives
In a uniform magnetic field of induction B a wire in the form of semicircle of radius r rotates about the diameter of the circle with angular frequency $?$. The axis of rotation is perpendicular to the field. If the total resistance of the circuit is R the mean power generated per period of rotation is
In a cell that utilises the reaction $ {Zn(s) + 2H+ (aq) -> Zn2+(aq) + H2(g)}$ addition of $H_2SO_4$ to cathode compartment, will
If $(1 - p)$ is a root of quadratic equation $x^2 + px + (1- p) = 0$, then its roots are
Identify the correct statements regarding enzymes
Excess of KI reacts with $CuSO_4$ solution and then $Na_2S_2O_3$ solution is added to it. Which of the statements is incorrect for this reaction?
Among the following compound which can be dehydrated very easily is
Which one of the following statements regarding helium is incorrect ?
The states of hybridization of boron and oxygenatoms in boric acid $(H_3BO_3)$ are respectively
In van der Waals equation of state of the gas law, the constant 'b' is measure of
The maximum number of $90^\circ$ angles between bond pair-bond pair of electrons is observed in
Among $ {Al_2O_3, SiO_2, P_2O_3}$ and $ {SO_2}$ the correct order of acidic strength is
Which one of the following has the regular tetrahedral structure ?
Aluminium chloride exists as dimer,$ { Al_2Cl_6}$ in solid state as well as in solution of non-polar solvents such as benzene. When dissolved in water, it gives
The formation of the oxide ion $O^{2-}(g)$ requires first an exothermic and then an endothermic step as shown below $O\left(g\right) + e^{-}O^{-} \left(g\right)?H^{\circ} = -142kJmol^{-1}$ $O^{-} \left(g\right) + e^{-}O^{2-} \left(g\right)?H^{\circ} = 844kJmol^{-1}$
A wire fixed at the upper end stretches by length by applying a force $F$. The work done in stretching is
A variable circle passes through the fixed point A (p, q) and touches x-axis. The locus of the other end of the diameter through A is
A satellite of mass $m$ revolves around the earth of radius $R$ at a height $x$ from its surface. If $g$ is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is
The range of the function $f\left(x\right) = ^{7-x}P_{x-3}$ is
If $\displaystyle\lim_{x \to\infty} \left(1+ \frac{a}{x} + \frac{b}{x^{2}}\right)^{2x} = e^{2} $ , then the values of a and b, are
The coefficient of the middle term in the binomial expansion in powers of x of $(1+ \alpha x)^4$ and of $ (1 - \alpha x)^6$ is the same if $\alpha$ equals
The coefficient of $x^n$ in expansion of $(1+ x)(1- x)^n$ is
The graph of the function $y = f(x) $is symmetrical about the line $x = 2$, then
If $f: R \rightarrow S $ defined by $ f(x)=\sin x-\sqrt{3} \,\cos\,x+\,$ 1, is onto, function then S = ?
A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is $60^{\circ}$ and when he retires $40$ meter away from the tree the angle of elevation becomes $30^{\circ}$. The breadth of the river is