List of top Questions asked in KEAM

Which one of the following has a different crystal lattice from those of the rest?

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

Benzoic acid when heated with soda ltme yields

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

Glucose on oxidation with bromine water gives

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.

Arrange the following ions in the order of decreasing X-0 bond length, where X is the central atom in $SiO_4^{4-},ClO_4^- ,PO_4^{3-},SO_4^{2-}$

Match the following correctly

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: $Ba\, = 137, S = 32, 0 = 16)$

lf the length of a seconds pendulum is increased by 2%, then in a day the pendulum

If $T$ is the surface tension of a liquid, the energy needed to break a liquid drop of radius $R$ into $64$ drops is

$\int\frac{3 ^{x}}{\sqrt{1-9 ^{x}}}dx\quad$is equal to

If one root of the equation $ l{{x}^{2}}+mx+n=0 $ is $ \frac{9}{2} $ $ (l,m $ and n are positive integers) and $ \frac{m}{4n}=\frac{l}{m}, $ then $ \frac{1}{x}+\frac{1}{y} $ is equal to

Let $A$ and $B$ be two events such that $P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)-P\left(A\right)P\left(B\right).$ If $0 < P\left(A\right)< 1$ and $0 < P\left(B\right)< 1$ , then $P\left(A\cup B\right)^{'}=$

To decrease the volume of a gas by 5% at constant temperature, the pressure should be

If the critical frequency for sky wave propagation is 12 MHz, then the maximum electron density in the ionosphere is

How many molecules of $CO_2$ are formed when one milligram of $100\%$ pure $CaCO_3$ is treated with excess hydrochloric acid?

Neopentyl bromide undergoes dehydrohalogenation to give alkenes even though it has no $\beta$- hydrogen. This is due to

In n- p-n transistor, the collector current is 10 mA. If 90% of the electrons emitted reach the collector, then

In a pure inductive AC circuit

If a magnetic dipole of moment $M$ situated in the direction of a magnetic field $B$ is rotated by $180^{\circ}$, then the amount of work done is

When chlorobenzene is reacted with acetyl chloride in the presence of anhydrous AICI$_3$, the major product formed is

If a body of mass m has to be taken from the surface of earth to a height $h = R$, then the amount of energy required is ($R$ = radius of earth)

Which one of the following isomeric amines has the highest boiling point?

A given resistor has the following colour code of the various strips on it: Brown, black, green and silver. The value of its resistance in ohm is