List of top Questions asked in AIEEE

The difference between the reaction enthalpy change $\left( \Delta_{r}H\right)$ and reaction internal energy change $\left( \Delta_{r}U\right)$ for die reaction : $2C_{6}H_{6} \left(1\right) +15O_{2} \left(g\right) \to 12CO_{2} \left(g\right) + 6H_{2}O\left(1\right)$ at $300$ K is $\left(R=8.31 \,,mol^{-1}K^{-1}\right)$

The density of a solution prepared by dissolving $120\, g$ of urea (mol. mass = $60\, u$) in $1000 \,g$ of water is $1.15\, g/mL$. The molarity of this solution is :

The d-electron configurations of $Cr^{2+},Mn^{2+},Fe^{2+}$ and $Co^{2+}$ are $d^4, d^5, d^6$ and $d^7$ respectively. Which one of the following will exhibit the lowest paramagnetic behaviour? (Atomic no. $Cr=24, Mn=25, Fe=26, Co=27$).

The correct statement for both the processes of physisorption and chemisorption is

The conversion of benzene diazonium chloride to bromobenzene can be accomplished by

The area of the triangle whose vertices are complex numbers z, iz, z + iz in the Argand diagram is

Synthetic polymer bakelite can be prepared from following compounds

The variance of first n odd natural numbers is $\frac{n^{2}-1}{3}$ : The sum of first n odd natural number is $n^2$ and the sum of square of first n odd natural numbers is $\frac{n\left(4n^{2}-1\right)}{3}.$

An equation of a common tangent to the parabola $y^{2} = 16\sqrt{3}x$ and the ellipse $2x^{2} + y^{2} = 4$ is $y = 2x + 2\sqrt{3}$ If the line $y = mx + \frac{4\sqrt{3}}{m}, \left(m\ne0\right)$ is a common tangent to the parabola $y^{2} = 16\sqrt{3}x$ and the ellipse $2x^{2} + y^{2} = 4$, then m satisfies $m^{4} + 2m^{2} = 24.$

The degrees of the differential equations $\frac{dy}{dx}+y^{2} = x$ and $\frac{d^{2}y}{dx^{2}} + y = sin\,x$ are equal. The degree of a differential equation, when it is a polynomial equation in derivatives, is the highest positive integral power of the highest order derivative involved in the differential equation, otherwise degree is not defined.

Square-planar geometry is shown by

Lithium forms body centred cubic structure. The length of the side of its unit cell is $351\, pm$. Atomic radius of the lithium will be :

Let $p, q, r \,\in\, R$ and $r > p > 0$. If the quadratic equation $px^2 + qx + r = 0$ has two complex roots $\alpha$ and $\beta$, then $\left|\alpha\right|+\left|\beta\right|$ is

Iron exhibits +2 and + 3 oxidation states. Which of the following statements about iron is incorrect ?

Iodoform can be prepared from all except :

In the electrolysis of alumina to obtain aluminium metal, cryolite is added mainly to

In an $LCR$ circuit shown in the following figure, what will be the readings of the voltmeter across the resistor and ammeter if an $a.c.$ source of $220V$ and $100\, Hz$ is connected to it as shown?

In a Young?? double slit experiment with light of wavelength $\lambda$, fringe pattern on the screen has fringe width $\beta$. When two thin transparent glass (refractive index $\mu$) plates of thickness $t_1$ and $t_2$ $(t_1 > t_2)$ are placed in the path of the two beams respectively, the fringe pattern will shift by a distance

If $[x]$ is the greatest integer $ \le x,$ then the value of the integral $\int\limits^{0.9}_{-0.9}\left(\left[x^{2}\right]+\left(\frac{2-x}{2+x}\right)\right)dx$ is

If the line $y = mx + 1$ meets the circle $x^2 + y^2 + 3x = 0 $ in two points equidistant from and on opposite sides of $x$-axis, then

If the integral $\int \frac{5\,tan\, x }{tan \,x - 2} dx = x + a \ell n |sin x - 2 cos x| + k$, then $a$ is equal to :

If $n= \,^mC_2$, then the value of $^nC_2$ is given by

If f(x) = sin (log x) and $y = f\left(\frac{2x+3}{3-2x}\right)$, then $\frac{dy}{dx}$ equals

If $100$ times the $100^{th}$ term of an $A.P.$ with non zero common difference equals the $50$ times its $50^{th}$ term, then the $150^{th}$ term of this $A.P.$ is :

For 1 mol of an ideal gas at a constant temperature $T$, the plot of $(log\, P)$ against $(log\, V)$ is a ($P$: Pressure, $V$: Volume)