List of top Questions asked in KEAM

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
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
Consider the following statements concerning $N_2H_4$ 1. It is an exothermic compound 2. It burns in air with the evolution of heat 3. It has kinetic stability 4. In reduces $Fe^{3+}$ to $Fe^{2+}$ in acidic medium Which of the following combination is correct?
The increasing order of the density of alkali metals 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
Detergents are known to pollute rivers and waterways. However, detergents can be made biodegradable and pollution free by taking
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.
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
The period of oscillation of a simple pendulum is given by $T = 2 \pi \sqrt{\frac{L}{g}}$ , where L is the length of the pendulum and g is the acceleration due to gravity. The length is measured using a meter scale which has $2000$ divisions. If the measured value L is $50\, cm,$ the accuracy in the determination of g is $1.1\%$ and the time taken for 100 oscillations is 100 seconds, what should be the resolution of the clock (in milliseconds) .
If the susceptibility of dia, para and ferro magnetic materials are $\chi_{d} , \chi_{p} , \chi_{f} $ respectively, then
The ratio of hydraulic stress to the corresponding strain is known as
The reaction of $ CHC{{l}_{3}} $ and alcoholic $ KOH $ with $ p $ -toluidine gives
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
Which one of the following has a different crystal lattice from those of the rest?
Which one of the following amines forms a non-acidic and alkali insoluble product with p-toluenesulphonyl chloride?
Which of the following pairs contain metalloid elements in the periodic table?
In neutral or faintly alkaline medium, thiosulphate is quantitatively oxidized by $KMnO_4$ to
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: $Ba\, = 137, S = 32, 0 = 16)$
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
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
An astronaut experiences weightlessness in a space satellite. It is because
lf the length of a seconds pendulum is increased by 2%, then in a day the pendulum
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.
Match the following correctly