List of top Questions asked in KEAM

An object released from certain height h, from the ground rebounds to a height h/4after striking the ground. The fraction of the energy lost by it is

A ball with $10^3J$ of kinetic.energy coflides with a.hodzontally mounted spring. If the maximum compression of the. spring is 50 cm, then the spring constatrt of the spring is

The instantaneous power in terms of force F and instantaneous velocity v is

When a metal spring is elongated within its elastic limit

Area under the force-time graph gives the change in

On a conveyor belt moving with a speed u, sand falls at a constant rate $\frac{dm}{dt}$ where m is the mass of sand. The extra force required to maintain the speed of

Which one of the following statement is INCORRECT?

When a body starts from rest and moves with a constant acceleration, the velocity- time graph for its motion is

The stopping distance of a moving vehicle is proportional to the

A hammer is dropped into a mine. Its velocities at depths d, 2d and 3d are in the ratio

The velocity of a moving particle at any instant is $\hat{i} + \hat{j}$. The magnitude and direction of the velocity of the particle are 

If the percentage errors in the measurements of mass, length and time are 1%, 2% and 3% respectively, then the maximum permissible error in the measurement of the acceleration of a particle is

A physical quantity A on multiplication with velocity results in another quantity B. If the quantity B is energy, then the quantity A is

Pick out the INCORRECT statement from the following

In a transmitter the audio signal of frequency $ω_m$ is modulated by the carrier signal $ω_c$ and the band pass filter in it rejects the frequencies

The compound semiconductor used for making LEDs of different colours is

transistor

Eddy currents are not used in the applicalion of

Let \(f:[-4,2] \rightarrow \R\) be given by \(f(x) = \sqrt{16-x^2}\). Then the range of the function f is

Match the substances and their uses.

Column-I		Column-II
a	Silicones	i	Cracking of hydrocarbons
b	Zeolites	ii	Light composite material for aircraft
c	Quartz	iii	Flux for soldering metals
d	Borax	iv	Waterproofing of fabrics
e	Boron fibres	v	Piezoelectric material

Choose the correct options :

The increasing order of extent of H-bonding of the alkyl ammonium ions, RNH3+,R2NH2+, R2NH2+ in water is

$\int\frac{1}{x+\sqrt{x}}dx=$

The value of $\int_{1}^{e}\frac{1}{x}dx$ is equal to

If $\vec{a}=\hat{i}+\hat{j}-\hat{k}$, $\vec{b}=2\hat{i}+3\hat{j}+\hat{k}$ and $\theta$ is the angle between them, then $\tan\theta=$

The integrating factor of the differential equation \(3xy'-y=1+\log x\), \(x>0\) is