List of top Questions asked in KEAM

Nitrogen shows different oxidation states in the range
Glucose on oxidation with bromine water gives
An $LCR$ series circuit is at resonance. Then
Arrange the following ions in the order of decreasing X-0 bond length, where X is the central atom in $SiO_4^{4-},ClO_4^- ,PO_4^{3-},SO_4^{2-}$
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
If the sum to first $n$ terms of the $A.P. 2,4,6,...$ is $240$, then the value of $n$ is
$\int\frac{3 ^{x}}{\sqrt{1-9 ^{x}}}dx\quad$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 $P\left(A\cup B\right)^{'}=$
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)
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
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 donor atom in EDTA are
To decrease the volume of a gas by 5% at constant temperature, the pressure should be
The following figure gives the movement of an object. Select the correct statement from the given choices.
A simple pendulum has a time period T in vacuum. Its time period when it is completely immersed in a liquid of density one-eighth of the density of material of the bob is
If the critical frequency for sky wave propagation is 12 MHz, then the maximum electron density in the ionosphere is
The major product of the reaction between tert-butyl chloride and sodium ethoxide is
The metal that produces red-violet colour in the non-luminous flame is
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
Electric charge is uniformly distributed along a long straight wire of radius $1\,mm$. The charge per cm length of the wire is $Q$ coulomb. Another cylindrical surface of radius $50 \,cm$ and length $1\, m$ symmetrically encloses the wire. The total electric flux passing through the cylindrical surface is
A thin circular ring of mass m and radius R is rotating about its axis perpendicular to the plane of the ring with a constant angular velocity $\omega$. Two point particles each of mass M are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity $\omega /2$. Then, the ratio m/M is
The rate of forward reaction is two times that of the reverse reaction at a given temperature and identical concentration, K equilibrium is
In a Fraunhofer diffraction at single slit of width d with incident light of wavelength 5500 $\mathring {A}$, the first minimum is observed, at angle 30$^{\circ}$. The first secondary maximum is observed at an angle $\theta$
In a pure inductive AC circuit
Which one of the following isomeric amines has the highest boiling point?