List of top Questions asked in AIEEE- 2004

The bond order in NO is 2.5 while that in $NO^+$ is 3. Which of the following statements is true for these two species ?

Which one of the following ion has the highest value of ionic radius ?

Beryllium and aluminium exhibit many properties which are similar. But, the two elements differ in

Consider the ground state of $Cr$ atom $(Z = 24)$. The number of electrons with the azimuthal quantum numbers $l =1$ and $2$ are respectively

Let $R = \{(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)\}$ be a relation on the set $A = \{1, 2, 3, 4\}$. The relation R is

An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the length and radii of the wires are in the ratio of $4/3$ and $2/3$, then the ratio of the currents passing through the wire will be

The resistance of the series combination of two resistances is $S$. When they are joined in parallel through total resistance is $P$. If $S = nP$, then the minimum possible value of $n$ is

The thermistors are usually made of

The thermo emf of a thermocouple varies with the temperature $?$ of the hot junction as $E = a \,? + b?^2$ in volts where the ratio $a/b$ is $700^{\circ}C$. If the cold junction is kept at $0^{\circ}C$, then the neutral temperature is

In a metre bridge experiment null point is obtained at $20\, cm$ from one end of the wire when resistance $X$ is balanced against another resistance $Y$. If $X < Y$, then where will be the new position of the null point from the same end, if one decides to balance a resistance of $4X$ against $Y$ ?

For which of the following parameters the structural isomers $C_2H_5OH$ and $CH_3OCH_3$ would be expected to have the same values? (Assume ideal behaviour)

A particle of mass $m$ is attached to a spring (of spring constant $k$) and has a natural angular frequency $\omega_0$. An external force $F(t)$ proportional to $cos\omega t$ $(\omega?\omega_0)$ is applied to the oscillator. The time displacement of the oscillator will be proportional to

In forced oscillation of a particle the amplitude is maximum for a frequency $\omega_1$ of the force, while the energy is maximum for a frequency $\omega_2$ of the force, then

The total energy of particle, executing simple harmonic motion is

The bob of a simple pendulum executes simple harmonic motion in water with a period $t$, while the period of oscillation of the bob is $t_0$ in air. Neglecting frictional force of water and given that the density of the bob is $\left(\frac{4}{3}\right)\times1000\,kg/m^{3}.$ What relationship between $t$ and $t_0$ is true?

The half - life of a radioisotope is four hours. If the initial mass of the isotope was 200 g, the mass remaining after 24 hours undecayed is

To neutralize completely $20 \,mL$ of $0.1\, M$ aqueous solution of phosphorous acid $(H_3PO_3)$, the volume of $0.1\, M$ aqueous $KOH$ solution required is

The ammonia evolved from the treatment of 0.30 g of an organic compound for the estimation of nitrogen was passed in 100 mL of 0.1 M sulphuric acid. The excess of acid required 20 mL of 0.5 M sodium hydroxide solution hydroxide solutio for complete neutralization. The organic compound is

A charged oil drop is suspended in a uniform field of $3 ? 10^4 \,V/m$ so that it neither falls nor rises. The charge on the drop will be (take the mass of the charge $= 9.9 ? 10^{-15}\, kg$ and $g = 10\, m/s^2$)

If $a_1, a_2, a_3,......, a_n$,.... are in G.P., then the value of the determinant $\begin{vmatrix}\log a_{n}& \log a_{n+1}&\log a_{n+2}\\ \log a_{n+3}& \log a_{n+4}&\log a_{n+5}\\ \log a_{n+6} &\log a_{n+7}& \log a_{n+8}\end{vmatrix}$, is

A charged particle $q$ is shot towards another charged particle $Q$ which is fixed, with a speed v it approaches $Q$ upto a closest distance $r$ and then returns. If $q$ were given a speed $2v$, the closest distances of approach would be

For the reaction, ${CO(g) + Cl2(g) <=> COCl2(g)}$ the $\frac{K_{p}}{K_{c}}$ is equal to

What is the equilibrium expression for the reaction ${P_{4(s)} +5O_{2(g)} <=> P4O_{10(s)}}$ ?