List of top Questions asked in KEAM- 2025

In a circuit, the capacitance \( C \) is connected. The effective capacitance of the circuit can be reduced by
A string of length \( l \) is divided into three segments of lengths \( l_1, l_2 \) and \( l_3 \) with the fundamental frequencies \( n_1, n_2 \) and \( n_3 \) respectively. The original fundamental frequency of the string is given by
Time periods of pendulums \( A \) and \( B \) are \( T \) and \( \frac{5T}{2} \). If they start executing S.H.M. at the same time from the mean position, the phase difference between them after the bigger pendulum has completed one oscillation is
An incompressible liquid flows through a horizontal pipe having cross-sectional areas \( A \) at one end and \( 2A \) at the other end. If the pressure and velocity of the liquid at the lower cross-section are \( P \) and \( v \), then these values at the other end are
Pick out the INCORRECT STATEMENT
The number of degrees of freedom for monoatomic gas molecule is
A cylindrical vessel contains 16 kg of gas at a pressure of 1 atmosphere. A certain amount of gas is taken out and the pressure of gas in the vessel becomes 0.75 atmosphere. The amount of gas taken out is
Efficiency of a Carnot engine
The distance travelled by a particle executing linear S.H.M. from its mean position in 2 s is equal to \( \frac{1}{\sqrt{2}} \) times its amplitude. Then its time period in seconds is
The work done in splitting a spherical liquid drop of radius \( a \) into eight liquid droplets of the same size (surface tension of the liquid = \( S \)) is
There is a mine of depth about \( 3.0 \,\text{km} \). Conditions prevailing in this mine as compared to those at the surface of earth are
Two objects of masses \( 1\,\text{kg} \) and \( 2\,\text{kg} \) are moving towards each other with accelerations \( 2\,\text{m s}^{-2} \) and \( 3\,\text{m s}^{-2} \) respectively on a smooth horizontal surface. The acceleration of centre of mass of the system is
A vessel containing a liquid of density \( d \) moves down with an acceleration \( a \,(a < g) \). The pressure due to the liquid at a depth \( h \) below the free surface of the liquid is
When a particle is rotating with constant angular momentum, then
The period of revolution of the planet A around the sun is 27 times that of another planet B. If the distance of A from the sun is \( X \) times greater than that of B from the sun, then the value of \( X \) is
When a person of mass \( m \) climbs up or down a rope with uniform speed \( v \), the tension in the rope is ( \( g \) = acceleration due to gravity)
A body of mass \( 0.2\,\text{kg} \) travels along a straight line with velocity \( v = (2x^2 + 2)\,\text{m s}^{-1} \). The net work done by the driving force during its displacement from \( x = 0 \) to \( x = 2 \,\text{m} \) is
Two colliding particles after collision move together. Then the collision is
When a body is thrown vertically upwards, from the ground, the time of ascent is \( t_1 \) and the time of descent is \( t_2 \) in the absence of air resistance. Then \( t_1 \) is equal to
A solid cylinder, a solid sphere, a disc and a ring are released from the top of an inclined plane (frictionless) so that they slide down the plane without rolling. The maximum acceleration down the plane is
The ratio of angular speeds of the minute hand and second hand of a watch is
In the graphical method of a linear programming problem, the optimal solution lies
The integrating factor of the differential equation \( \sin x\, dy = \frac{1}{2}(\sin2x + 2y\cos x)\,dx \) is
If \( 2.7\times10^{-6} \) is added to \( 4.3\times10^{-5} \), giving due regard to significant figures, the result will be
If the velocity (in \( \text{m s}^{-1} \)) of a particle at any instant \( t \) is given by \( 2.0\hat{i} + 3.0t\hat{j} \), then the magnitude of its acceleration (in \( \text{m s}^{-2} \)) is