List of top Questions asked in Assam Combined Entrance Examination

The wavelength of an electron moving with a velocity of \( 2.2 \times 10^7 \, \text{ms}^{-1} \) is:
2 moles of a solute is dissolved in 1 kg water (K\_b = 0.52 K kg mol}^{-1}{). The solute dissociates to give 3 moles of particles in solution. The elevation of boiling point will be:
A solid forms fcc unit cell with \( 2\text{A} \) side length. If another solid with exactly same atomic radius (\( r \)) as that of the above solid forms a simple cubic lattice, the side length of the unit cell will be:
The boiling point and melting point of a pure solvent are 353.3 K and 278.6 K, respectively. A solute is dissolved in the solvent to get a solution. Which one of the following can be true?
According to Bohr's theory, when principal quantum number is 2, the radius of \( \text{Be}^{3+} \) will be:
For the following reaction at 298 K: \[ \text{30O}_2(g) \rightleftharpoons \text{20O}_3(g) \quad \Delta H = +285 \, \text{kJ/mol} \] The equilibrium constant, \( K_c \), is \[ K_c = 2.47 \times 10^{-31} \quad \text{at 298 K. The value of \( K_c \) will increase when} 298 \, \text{K is} \quad \text{increased.} \]
Among the following, the molecule which shows aromatic character is:
Identify the essential amino acid among the following:
The most effective reaction for the synthesis of 1-methoxy-4-nitrobenzene is:
O_2 molecule has:
Among the following, the compound with highest melting point is:
The molar conductance of KCl, HCl and \( \text{CH}_3 \text{COOK} \) are 152, 425 and 91 cm\(^2\) ohm\(^-1\) respectively. Here, the molar conductance of \( \text{CH}_3 \text{COOH} \) at infinite dilution would be.
In K[Cr(H\(_2\)O)\(_6\)](C\(_2\)O\(_4\))\(_2\)] .3H\(_2\)O, the spin only magnetic moment of Cr\(^3\) ion is
In the following circuit, the charge stored in capacitors \( C_1 \), \( C_2 \), and \( C_3 \) are
The CORRECT order of ionic radii of the following lanthanides is:
The densities of the nuclei: \(^{24}_{12}Mg\), \(^{40}_{20}Ca\) and \(^{88}_{38}Sr\),
For a system executing simple harmonic motion,
The magnetic properties of magnets are
Consider a uniformly dense spherical shell of inner radius \( a \) and outer radius \( b \). If \( M \) is the mass of the shell, the moment of inertia of the spherical shell about an axis passing through its center is:
Consider the following spring configurations:
If the first spring is stretched by an amount \( \Delta x \), the second system will be stretched by:
Which of the following is not a representation of uniform motion?
The total displacement of the object that exhibits the following motion is
Diffraction of light involves
If the angular momentum of a planet of mass \(M\), moving around the sun in a circular orbit, is \(L\). The areal velocity of the planet about the center of the sun is
In the circuit below, A and B represent two inputs and C represents the output. The circuit represents: