List of top Questions asked in AIEEE

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)}}$ ?
The materials suitable for making electromagnets should have
The time period of an earth satellite in circular orbit is independent of
The smog is essentially caused by the presence of
The coordination number of a central metal atom in a complex is determined by
On mixing ethyl acetate with aqueous sodium chloride, the composition of the resultant solution is
Which one of the following represents the correct dimensions of the coefficient of viscosity?
The magnetic field due to a current carrying circular loop of radius $3\, cm$ at a point on the axis at a distance of $4\, cm$ from the centre is $54 \,\mu T$. What will be its value at the centre of the loop?
The limiting molar conductivities $\Lambda^{\circ}$ for NaCl, KBr and KCl are 126, 152 and 150 S $cm^2\, mol^{-1}$ respectively. The $\Lambda^{\circ}$ for NaBr is
The correct order of bond angles (smallest first) in $H_2S, NH_3, BF_3$ and $SiH_4$ is
The conjugate base of $H_2PO_4^ -$ is
The compound formed in the positive test for nitrogen with the Lassaigne solution of an organic compound is
The compound formed on heating chlorobenzene with chloral in the presence concentrated sulphuric acid is
One solid sphere $A$ and another hollow sphere $B$ are of same mass and same outer radii. Their moment of inertia about their diameters are respectively $I_A$ and $I_B$ such that Where $d_A$ and $d_B$ are their densities