List of top Questions asked in AIEEE

An organic compound having molecular mass 60 is found to contain C = 20%, H = 6.67% and N = 46.67% while rest is oxygen. On heating it gives $NH_3$ alongwith?? solid residue. The solid residue give violet colour with alkaline copper sulphate solution. The compound is :

An annular ring with inner and outer radii $R_1$ and $R_2$ is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, $\frac{F_{1}}{F_{2}}$ is :

Among the following acids which has the lowest $pK_a$ value ?

Alkyl halides react with dialkyl copper reagents to give:

A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected along the direction of the fields with a certain velocity, then :

A thin glass (refractive index 1.5) lens has optical power of $- 5\, D$ in air. Its optical power in a liquid medium with refractive index 1.6 will be :

During the process of electrolytic refining of copper, some metals present as impurity settle as ??node mud?

Which one of the following species is diamagnetic in nature ?

Which of the following oxides is amphoteric in character ?

A parachutist after bailing out falls $50\, m$ without friction. When parachute opens, it decelerates at $2\,m/s^2$. He reaches the ground with a speed of $3 \,m/s$. At what height, did he bail out ?

A moving coil galvanometer has $150$ equal divisions. Its current sensitivity is $10$ divisions per milliampere and voltage sensitivity is $2$ divisions per millivolt. In order that each division reads $1 V$, the resistance in Ohm?s needed to be connected in series with the coil will be :

Which of the following is a polyamide ?

A body of mass m is accelerated uniformly from rest to a speed $v$ in a time $T$. The instantaneous power delivered to the body as a function of time, is given by :

A block is kept on a frictionless inclined surface with angle of inclination '$\alpha$'. The incline is given an acceleration a to keep the block stationary. Then a is equal to :

If $C$ is the mid point of $AB$ and $P$ is any point outside $AB$, then :

Let $P$ be the point $(1, 0)$ and $Q$ a point on the locus $y^2 = 8x$. The locus of mid point of $PQ$ is:

The value of $a$ for which the sum of the squares of the roots of the equation $x^2 - (a - 2) x - a - 1 = 0$ assume the least value is

Let $\alpha$ and $\beta$ be the distinct roots of $ax^2 + bx + c = 0$ , then $\displaystyle \lim_{x \to\alpha} \frac{1- \cos \left(ax^{2} + bx + c\right)}{\left(x-\alpha\right)^{2}} $ is equal to

If in a frequency distribution, the mean and median are $21 $ and $22$ respectively, then its mode is approximately

$\displaystyle \lim_{n \to\infty} \left[\frac{1}{n^{2}} \sec^{2} \frac{1}{n^{2}} + \frac{2}{n^{2}} \sec^{2} \frac{4}{n^{2}}.......... + \frac{1}{n}\sec^{2} 1 \right] $ equals

If $x$ is so small that $x^3$ and higher powers of $x$ may be neglected, then $\frac{\left(1+x\right)^{\frac{3}{2}} - \left(1+ \frac{1}{2}x\right)^{3}}{\left(1-x\right)^{\frac{1}{2}}} $ may be approximated as

A real valued function $f (x) $.Satisfies the functional equation $f(x- y) =f (x) f(y)-f(a-x) f(a+y)$ where a is a given constant and $f(0) = 1$. Then $f(2a - x)$ is equal to

$A$ and$ B$ are two like parallel forces. A couple of moment $H$ lies in the plane of $A$ and $B$ and is contained with them. The resultant of $A$ and $B$ after combining is displaced through a distance :

A mass $'m'$ moves with a velocity $'v'$ and collides inelastically with another identical mass. After collision the $1^{st}$ mass moves with velocity $\frac{v}{\sqrt{3}}$ a direction perpendicular to the initial direction of motion. Find the speed of the second mass after collision :

If '$S$' is stress and '$Y$' is Young?s modulus of material of a wire, the energy stored in the wire per unit volume is: