List of top Questions asked in AIEEE

The limiting line in Balmer series will have a frequency of (Rydberg constant, $R_{\infty}=3.29\times10^{15}$ cycles/s)

The ratio of number of oxygen atoms (O) in 16.0 g ozone $(O_3), \,28.0\, g$ carbon monoxide $(CO)$ and $16.0$ oxygen $(O_2)$ is (Atomic mass: $C = 12,0 = 16$ and Avogadro?? constant $N_A = 6.0 x 10^{23}\, mol^{-1}$)

The compressibility factor for a real gas at high pressure is :

The mass of a spaceship is $1000 \,kg$. It is to be launched from the earth's surface out into free space. The value of $g$ and $R$ (radius of earth) are $10\, m/s^2$ and $6400\, km$ respectively. The required energy for this work will be :

A steel wire can sustain $100\, kg$ weight without breaking. If the wire is cut into two equal parts, each part can sustain a weight of

If the kinetic energy of an electron is increased four times, the wavelength of the de-Broglie wave associated with it would become

The normal at $\left(2,\frac{3}{2}\right)$ to the ellipse, $\frac{x^{2}}{16}+\frac{y^{2}}{3} = 1$ touches a parabola, whose equation is

In the Rutherford experiment, $\alpha$-particles are scattered from a nucleus as shown. Out of the four paths, which path is not possible?

If the point $(1, a)$ lies between the straight lines $x + y = 1$ and $2(x+y) = 3$ then a lies in interval

This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. If you push on a cart being pulled by a horse so that it does not move, the cart pushes you back with an equal and opposite force. The cart does not move because the force described in statement 1 cancel each other.

The parabola $y^2=x$ divides the circle $x^2 +y^2 = 2$ into two parts whose areas are in the ratio

If $\frac{d}{dx}G\left(x\right) = \frac{e^{tan\,x}}{x},x\in\left(0, \pi/2\right),$ then $\int\limits^{1/2}_{1/4} \frac{2}{x}. e^{tan\left(\pi\,x^2\right)}dx $ is equal to

A transition metal M forms a volatile chloride which has a vapour density of 94.8. If it contains 74.75% of chlorine the formula of the metal chloride will be

A series combination of $n_1$ capacitors, each of capacity $C_1$ is charged by source of potential difference $4\, V$. When another parallel combination of $n_2$ capacitors each of capacity $C_2$ is charged by a source of potential difference $V$, it has the same total energy stored in it as the first combination has. The value of $C_2$ in terms of $C_1$ is then

Let $a_{n}$ denote the number of all $n$ -digit positive integers formed by the digits 0,1 or both such that no consecutive digits in them are $0 .$ Let $b_{n}=$ the number of such $n$ -digit integers ending with digit 1 and $c_{n}=$ the number of such $n$ -digit integers ending with digit $0 .$ Which of the following is correct?

Let $f : \left(-\infty, \infty\right) \to \left(-\infty , \infty \right)$ be defined by $f(x) = x^3 + 1$. The function f has a local extremum at $x = 0$ The function f is continuous and differentiable on (-??,oo) and/'(0) = 0

If the sum of the series $1^{2} + 2.2^{2} + 3^{2} + 2.4^{2} + 5^{2}+ ... 2.6^{2} +...$ upto n terms, when n is even, is $\frac{n\left(n+1\right)^{2}}{2}$, then the sum of the series, when n is odd, is

A spherical balloon is filled with $4500\,\pi$ cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of $72\,\pi$ cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases $49$ minutes after the leakage began is

The value of cos $255^{\circ}$ + sin $195^{\circ}$ is

It is preferable to measure the e.m.f. of a cell by potentiometer than by a voltmeter because of the following possible reasons. (i) In case of potentiometer, no current flows through the cell. (ii) The length of the potentiometer allows greater precision. (iii) Measurement by the potentiometer is quicker. (iv) The sensitivity of the galvanometer, when using a potentiometer is not relevant. Which of these reasons are correct?

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is :

The concentrated sulphuric acid that is peddled commercial is 95% $H_2SO_4$ by weight. If the density of this commercial acid is $1.834\, g$ $cm^{-3}$, the molarity of this solution is

If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between $t = 0s$ to $t = \tau s$, then $\tau$ may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity, with 'b' as the constant of proportionality, the averatge life time of the pendulum is (assuming damping is small)

This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. If two springs $S_1$ and $S_2$ of force constants $k_1$ and $k_2$, respectively, are stretched by the same force, it is found that more work is done on spring $S_1$ than on spring $S_2$. If stretched by the same amount, work done on $S_1$, will be more than that on $S_2$ $k_1 < k_2$