List of top Questions asked in KEAM

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

Glucose on oxidation with bromine water 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

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 $SiO_4^{4-},ClO_4^- ,PO_4^{3-},SO_4^{2-}$

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

Match the following correctly

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

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

$\int\frac{3 ^{x}}{\sqrt{1-9 ^{x}}}dx\quad$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 $P\left(A\cup B\right)^{'}=$

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

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

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

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

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)

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

For a zero order reaction, the plot of concentration of reactant $vs$ time is (intercept refers to concentration axis)

Two vessels of volumes $16.4\, L$ and $5\,L$ contain two ideal gases of molecular existence at the respective temperature of $27^?C$ and $227^?C$ and exert $1.5$ and $4.1$ atmospheres respectively. The ratio of the number of molecules of the former to that of the latter is

The major product of the reaction between tert-butyl chloride and sodium ethoxide is

An open organ pipe is closed suddenly with the result that the second overtone of the closed pipe is found to be higher in frequency by $ 100 $ than the first overtone of the original pipe. Then the fundamental frequency of the open pipe is