List of top Questions asked in KEAM- 2012

A travelling harmonic wave on a string is described by $y$ = 7.5 sin (0.005$x$ + 12$t$) in metre. Its time period in second is

A carpet of mass $m$ made of inextensible material is rolled along its length in the form of a cylinder of radius $r$ and kept on a rough floor. The decrease in the potential energy of the system, when the carpet is unrolled to a radius $\frac{r}{2}$ without sliding is $(g=$ acceleration due to gravity)

If $p :$ The earth is round, $q : 3 + 4 = 7 $ then $\left(\sim p\right)\vee\left(\sim q\right)$ is

If $\frac{\sin x}{\cos x} \times \frac{\sec x}{\operatorname{cosec} x} \times \frac{\tan x}{\cot x}=9, $ where $x \in\left(0, \frac{\pi}{2}\right)$, then the value of $x$ is equal to

The element with positive electron gain enthalpy is

One mole of propanone and one mole of formaldehyde are the products of ozonolysis of one mole of an alkene. The alkene may be

$\int\frac{1+log\,x}{\left(1+x\,log\,x\right)^{2}}dx$ is equal to

The electric potential V at any point $(x, y, z)$ in space is given by $V = 3x^{2}$ where $x, y, z$ are all in metre. The electric field at the point (1 m, 0, 2 m) is

The graph between displacement and time for a particle moving with uniform acceleration is a

The radius of gyration of a solid cylinder of mass $M$ and radius $R$ about its own axis is

The correct IUPAC name of the following compound is

The shunt resistance required to allow $4\%$ of the main current through the galvanometer of resistance $48 \, \Omega$ is

The simple harmonic vibrations of two particles are $ y_{1} =5$ sin (100$t$) and $y_{2} =4 $ cos $\left(100t +\frac{\pi}{4}\right).$ The phase difference between them is

Only $sp$ and $sp$ hybrid orbitals are involved in the formation of

The horizontal range is four times the maximum height attained by a projectile. The angle of projection is

Two cars started moving with initial velocities $v$ and $2v$. For the same deceleration, their respective stopping distances are in the ratio

The electrolyte used in Leclanche cell is

Sickle cell anaemia is caused by substitution of

Select the correct statement regarding protein synthesis

One hormone is used to speed up the malting process in barley, another is used to promote flowering in pineapple, while the third helps in the delay of leaf senescence. These are respectively

The triangular sac like structure which receives blood through the vena cava in frog is

The slope of the tangent drawn on position-time graph at any instant is equal to the instantaneous

The rate of change of current of $10\, A\, s^{ -1}$ in a coil produces an emf of 5 V. Then the self-inductance of the coil in henry is

The range of frequency bands used for television $VHF$ service is

The geometry of ammonium ion is