List of top Questions asked in KEAM- 2025

Force between two charges \( +8\,\mu C \) and \( +2\,\mu C \) is \( 16\,N \). If the charges are brought into contact and then separated by the same distance, the force between them is
The resistivity of a metallic wire is directly proportional to (T – temperature; \( \tau \) average time of collisions of free electrons; \( n \) – number of free electrons per unit volume; \( A \) – area of cross-section)
If the speed of transverse waves on a stretched wire of linear density \(7\times 10^{-3}\,\text{kg m}^{-1}\) is \(100\,\text{m s}^{-1}\), then the tension in the wire is
For smaller angular displacement, the period of a simple pendulum depends on
For an ideal gas at temperature \( T \) having the total number of molecules \( N \), the product of the pressure and volume, \( PV \), is equal to \((k_B \text{ is the Boltzmann constant})\)
If \(T\) and \(\rho\) represent the temperature and density of a gas, then the velocity of sound in the gas is directly proportional to
If the mean kinetic energy of one mole of helium gas at \( 400\,K \) temperature is \( 5000\,J \), then that for one mole of neon gas at \( 800\,K \) is
If the temperature of a gas is changed to \( 9 \) times the initial value, then the rms velocity of the gaseous molecule increases by
If \( K \) is the kinetic energy of a satellite at a height \( h \) from the surface of earth, then its total energy is
The specific heat capacity at constant volume \(C_v\) of a mole of an ideal gas is related to the gas constant \(R\) and the ratio of the specific heats \(\gamma\) as
The force between two identical solid spheres each of radius \( r \) kept in contact is \( F \). If the distance of their centres is made \( 4r \), then the force between them is
Global warming leads to
When a gas is compressed in an insulated vessel
The statement, the total pressure of a mixture of ideal gases is the sum of partial pressures, is called as
When two rigid bodies with moments of inertia \(I_1\) and \(I_2\) and angular velocities \(\omega_1\) and \(\omega_2\) respectively are coupled in such a way that their rotation axes coincide, the angular velocity of the combination is \(\omega\). Then
A rotating fly wheel with an initial angular speed of \( 4 \, \text{rad s}^{-1} \) has an angular acceleration of \( 2 \, \text{rad s}^{-2} \). The angle (in radian) it will turn in a time of \( 4 \, s \) from the start is
Power of an engine driving a vehicle of mass \(m\) with a speed \(v\) on a horizontal road is (\(\mu\) is the coefficient of friction between the road and the tyre)
In a perfectly inelastic head on collision
A body of mass \(5\) kg collides with a wall with a speed of \(50\,\text{m s}^{-1}\) and rebounds with the same speed. If the time of contact of the body with the wall is \(\frac{1}{20}\) s, the force exerted on the wall is
Radius of gyration of a uniform circular disc of radius \(R\) about its diameter is
When a metallic sphere is heated, maximum percentage change will be observed in its
The dimensions of ratio of energy to Planck's constant are those of
When a body starts from rest and moves with uniform acceleration, then its instantaneous displacement \( s \) is related to time \( t \) as
A particle moving in a circular path, covers equal distances in equal intervals of time. Then the quantity associated with the particle that remains constant with time is
A body of mass \(2\) kg is moving with a velocity of \(10\,\text{m s}^{-1}\). If a force of \(50\) N is applied on it for \(10\) s along its motion, the velocity of the body (in \(\text{m s}^{-1}\)) is