List of top Questions asked in KEAM

Match the following correctly
For a first order reaction, the time taken to reduce the initial concentration by a factor of 1/4 is 20 min. The time required to reduce initial concentration by a factor of 1/16 is
A galvanometer has 30 divisions and a sensitivity $ 16 \mu A/div $ . It can be converted into a voltmeter to read 3 V by connecting
An $LCR$ series circuit is at resonance. Then
Consider a circular loop of radius R on the xy-plane carrying a steady current anticlockwise. The magnetic field at the center of the loop is given by
An astronaut experiences weightlessness in a space satellite. It is because
Arrange the following ions in the order of decreasing X-0 bond length, where X is the central atom in $SiO_4^{4-},ClO_4^- ,PO_4^{3-},SO_4^{2-}$
Detergents are known to pollute rivers and waterways. However, detergents can be made biodegradable and pollution free by taking
A simple harmonic motion is represented by $x(t) = \sin^2 \omega t - 2 \, \cos^2 \, \omega t$ . The angular frequency of oscillation is given by
A vessel of depth $x$ is half filled with oil of refractive index $ {{\mu }_{1}} $ and the other half is filled with water of refractive index $ {{\mu }_{2}} $ The apparent depth of the vessel when viewed from above is
A wave of frequency $500\, Hz$ travels with a speed of $360 \,ms^{-1}$. The distance between two nearest points which are $60^{\circ}$ out of phase is
In neutral or faintly alkaline medium, thiosulphate is quantitatively oxidized by $KMnO_4$ to
Which one of the following has a different crystal lattice from those of the rest?
The crystal field splitting energy for octahedral $(\Delta_0)$ and tetrahedral $(\Delta_t) $complexes is related as
An aircraft is flying at a height of $3400\, m$ above the ground. If the angle subtended at a ground observation point by the aircraft positions $10\,s$ apart is $30^\circ$ then the speed of the aircraft is
Nitrogen shows different oxidation states in the range
The expression for van der Waals equation for the gas law is
Benzoic acid when heated with soda ltme yields
An electric dipole of moment $\overrightarrow {p}$ is placed in a uniform electric field $\overrightarrow {E}$. Then (i) the torque on the dipole is $p \times E$ (ii) the potential energy of the system is $\overrightarrow{p}$.$\overrightarrow{E}$ (iii) the resultant force on the dipole is zero.
Dry air is passed through a solution containing $ 10\,g $ of a solute in $ 90\,g $ of water and then through pure water. The loss in weight of solution is $ 2.5\,g $ and that of pure solvent is $ 0.05 \,g $ . Calculate the molecular weight of the solute.
Glucose on oxidation with bromine water gives
If $ {{E}_{c}}=20\,\,\sin \,{{10}^{5}}\,\pi t $ and $ {{E}_{m}}=10\sin 400\pi t $ it are carrier and modulating signals, the modulation index is
If $T$ is the surface tension of a liquid, the energy needed to break a liquid drop of radius $R$ into $64$ drops is
If the susceptibility of dia, para and ferro magnetic materials are $\chi_{d} , \chi_{p} , \chi_{f} $ respectively, then
In the estimation of sulphur by Carius method, $0.480\, g$ of an organic compound gives $0.699 \,g$ of barium sulphate. The percentage of sulphur in this compound is (Atomic masses: $Ba\, = 137, S = 32, 0 = 16)$