List of top Questions asked in KEAM

The magnetic field at the centre of a circular current carrying coil of radius R is B. The magnetic field at a distance R from the centre on the axis of the coil is

The electric potential at a point on the axis of an electric dipole at a distance r from its centre is proportional to

Potentiometer is an ideal instrument for measuring voltage because

A wire of resistance R is stretched to double its length. Its new resistance will be

In a longitudinal wave, the distance between a compression and its adjacent rarefaction is

The frequency of a simple pendulum is f. If its length is increased by four times, its frequency will become

The average kinetic energy of a gas molecule is

A particle executing simple harmonic motion (SHM) has a maximum velocity of $1~ms^{-1}$ and a maximum acceleration of $2\pi~ms^{-2}$. Its time period of vibration is

The speed of sound in air is $340~ms^{-1}$. The frequency of the fundamental note emitted by a pipe of length 2 m closed at one end is

The change in the value of acceleration due to gravity (g) at a height h above the surface of the earth is same as that at a depth d below the surface. If both h and d are much smaller than the radius of the earth (R), then

The root mean square (rms) speed of the molecules of an ideal gas at a temperature T is proportional to

Two bodies A and B of masses 80 g and 120 g move with same speed, $6~cm~s^{-1}$ in a plane. The speed of the centre of mass of the system is

The coefficient of linear expansion of a solid depends on

A satellite revolves around a planet in a circular orbit of radius R with the time period t. If the orbital radius is 3R, then its time period of revolution is

In an isothermal process, which of the following quantities remains constant?

A block of mass 2 kg slides on a rough horizontal surface with initial speed $10~ms^{-1}$. The distance travelled by the block before it stops is ($g=10~ms^{-2}$, $\mu_{k}=0.2$)

A passenger of mass m stands on a weighing scale in an elevator accelerating upward with an acceleration of $g/2$. The scale would read ($g=$ acceleration due to gravity)

A particle of mass m is initially at rest. A time varying force $F=kt$ acts on it. Its velocity after time t is

A flywheel in a steam engine ensures a smooth ride for the passengers on the vehicle because it has

A non-conservative force is one for which

The position vector of a particle is given by $\vec{x}=(t^{3}-3t^{2}+2)\hat{i}$, the time at which the velocity of the moving particle becomes zero is

Which of the following statements are incorrect about boundary surface diagram of orbital?} (i) A boundary surface is drawn in space for an orbital on which the value of probability density $|\Psi|^2$ is constant.} (ii) The boundary surface for $|\Psi|^2$ and $|\Psi|$ are not identical.} (iii) The density of the dots represents the probability density of finding the electron in the region.} (iv) In $1s$ and $2s$ orbitals, the probability of finding electron at a given distance is not equal in all the directions.} (v) The $2p$ orbitals in the boundary surface diagram are not spherical.

The dimensional formula for the rate of change of momentum of a moving body is

If the time period of oscillation of a liquid drop is given by $T=k\sqrt{\frac{\rho r^{4}}{\sigma}}$, where $\rho$ refers to its density, $r$ its radius and $k$ is a dimensionless constant, then $\sigma$ has the units of

The area under the velocity-time graph of a particle is equal to its