List of top Questions asked in KEAM

A particle having charge 10 times that of the electron revolves in a circular path of radius 0.4 m with an angular speed of one rotation per second. The magnetic induction produced at the centre of the circular path is
Two bulbs of equal power are connected in parallel and they totally consume 110 W at 220 V. The resistance of each bulb is
If a magnet is plunged into a coil, then the magnitude of induced emf does not depend upon
The amount of charge flowing per second per unit area normal to the flow is called
A galvanometer of resistance $G$ is converted into an ammeter using a shunt of resistance $R$. If the ratio of the heat dissipated through the galvanometer and shunt is $3:4$, then $R$ equals
An ammeter, voltmeter and a resistor are connected in series to a cell and the readings are noted as $I$ and $V$. If another resistor $R$ is connected in parallel with voltmeter, then
One gram of copper is deposited in a copper voltameter when a current of $0.5$ A flows for $30$ minutes. Then the current required to deposit $2$ g of silver in the same time is (ece of copper $= 3.3 \times 10^{-4}$ g C$^{-1}$, ece of silver $= 1.1 \times 10^{-3}$ g C$^{-1}$)
A conductor with a cavity is charged positively and its surface charge density is $\sigma$. If $E$ and $V$ represent electric field and potential, then inside the cavity
Electric lines of force about a positive point charge are
A cylinder of radius $r$ and length $\ell$ is placed in a uniform electric field $E$ parallel to its axis. The total flux over curved surface area is
Pick out the condition which is not required for the formation of stationary waves
The apparent change in frequency of sound due to the relative motion between the observer and the source of sound is called
The harmonic mode which resonates with a closed pipe of length 22 cm, when excited by a 1875 Hz source and the number of nodes present in it respectively are (velocity of sound in air = 330 m/s)
The electric field strength in \( \text{N C}^{-1} \) that is required to just prevent a water drop carrying a charge \( 1.6 \times 10^{-19} \) C from falling under gravity is (\( g = 9.8 \, \text{m s}^{-2} \), mass of water drop = \( 0.0016 \) g)
The force between two point charges placed in a material medium of dielectric constant $\varepsilon_r$ is $F$. If the material is removed, then the force between them becomes
If the average kinetic energy of a molecule of a hydrogen gas at 300 K is $E$, the average kinetic energy of a molecule of a nitrogen gas at the same temperature is
The difference between the specific heats of a gas is \( 4150 \, \text{J kg}^{-1}\text{K}^{-1} \). If the ratio of specific heats is \( 1.4 \), then the specific heat at constant volume of the gas (in \( \text{J kg}^{-1}\text{K}^{-1} \)) is
The time period of a simple pendulum of length \( \sqrt{5} \) m suspended in a car moving with uniform acceleration of \( 5 \, \text{m s}^{-2} \) in a horizontal straight road is (\( g = 10 \, \text{m s}^{-2} \))
Two equal masses hung from two massless springs of spring constants $k_1$ and $k_2$ have equal maximum velocity when executing SHM. The ratio of their amplitudes is
The simple harmonic motion of a particle is given by \( x = a \sin 2\pi t \). Then the location of the particle from its mean position at time \( \frac{1}{8} \) s is
The Carnot cycle of a reversible heat engine consists of
The Zeroth law of thermodynamics leads to the concept of
If a capillary tube of radius $r$ is immersed in a liquid, the liquid rises to a height $h$. The corresponding mass of liquid column is $m$. The mass of water that would rise in another capillary tube of twice the radius is
In a horizontal pipe of non-uniform cross-section, water flows with a velocity of \( 1 \text{ m s}^{-1} \) at a point where the diameter of the pipe is 20 cm. The velocity of water (in m s\(^{-1}\)) at a point where the diameter of the pipe is 5 cm is
A stone of density \( 2000 \, \text{kg m}^{-3} \) completely immersed in a lake is allowed to sink from rest. If the effect of friction is neglected, then after 4 seconds, the stone will reach a depth of