List of top Questions asked in KEAM- 2026

An electric dipole of dipole moment \(12\mu \text{ C m}\) is suspended in a uniform electric field of intensity \(10^6 \text{Vm}^{-1}\). The work done in rotating it from \(0^\circ\) to \(60^\circ\) with respect to the field direction is

Two positive charges of +Q each are placed at the corners A and B of an equilateral triangle ABC of side R. The net electric potential at C, in terms of K is (\(K = \frac{Q}{4\pi\epsilon_0 R}\))

The speed of the transverse waves on a steel wire of length 50 cm and mass 5 g subjected to a tension of 64 N is

The average kinetic energy of a gas molecule is directly proportional to

One litre of an ideal gas at a pressure of 50 pascal is suddenly compressed to half its original volume. The final pressure of the gas in pascal is (\(\gamma = 1.5\))

The heat required to convert 2 kg of ice at -10$^\circ$ C to water at 10$^\circ$ C at standard atmospheric pressure is (specific heat capacity of ice = 2100 Jkg$^{-1}$ K$^{-1}$, specific heat capacity of water = 4200 Jkg$^{-1}$ K$^{-1}$, Latent heat of fusion of ice = $3.35 \times 10^5$ Jkg$^{-1}$)

The \(\gamma \left( = \frac{C_p}{C_v} \right)\) values of a rigid diatomic gas molecule and a monoatomic gas molecule are in the ratio

In a carnot engine, the ratio of the heat rejected to the sink to the heat absorbed from the source is 1 : 4. If this ratio is changed to 1: 2, the change in engine efficiency is

A thin circular disc and a uniform thin circular ring have their masses and radii in the ratio 2 : 1 and 1 : 2 respectively. The ratio of their moments of inertia about their respective diameters is

The values of the acceleration due to gravity at depths of \(\frac{R}{2}\) and \(\frac{2R}{3}\) from the surface of the earth are in the ratio

Two planets revolve around the sun in elliptical orbits with their major axes in the ratio 2 : 3. Their periods of revolution around the sun are in the ratio

A steel rod of 1 m length and 10\(^{-3}\) m\(^2\) area of cross section is subjected to a linear force of 150 kN. The elongation of the rod is (Young’s modulus of steel \(1.5 \times 10^{11} \text{ Nm}^{-2}\))

The terminal velocity of a steel ball of radius r and density \(\rho\) falling through an oil column of density \(\sigma\) and viscosity \(\eta\) is

Two masses 2 kg and 6 kg lie on the x-axis at distances of 3 m and 6 m, respectively, from the origin. The distances of the centre of mass of the system from the origin and from the 2 kg mass are in the ratio

The position of an object moving along the x axis is given by the equation \(x = 1 + t^2\) (\(x\) in meter and \(t\) in second). At what time will the magnitude of its displacement and velocity be equal?

A particle projected with a velocity at an angle of \(30^\circ\) to the horizontal, travels a horizontal range R. If it is projected with the same velocity at \(60^\circ\) to the horizontal, its horizontal range will be

A batsman hits a cricket ball of mass 0.15 kg travelling at a speed of 54 kmph. The ball reverses its direction. The impulse imparted to the ball in kgms\(^{-1}\) is

A bullet of mass 0.05 kg entering a heavy wooden block with a speed of 100 ms\(^{-1}\) is stopped in a distance of 50 cm. The average resistive force exerted by the block on the bullet is

A car moves at a speed of 72 kmph, under a force of 600 N. The power output of the car is

A body of mass 2 kg at rest starts to move under the action of an applied horizontal force of 7 N on a table with coefficient of kinetic friction, 0.1. The kinetic energy of the body in 10 seconds is (\(g = 10 \text{ ms}^{-2}\))

A particle starting with an initial velocity \(2 \text{ ms}^{-1}\) moves with a uniform linear acceleration \(2 \text{ ms}^{-2}\). The particle velocities at the end of the 5 seconds and 10 seconds of its motion from the start, are in the ratio

For a given mass m, linear velocity v, linear displacement s, linear acceleration a and time t, the dimensionally INCORRECT expression for power P is

If the solution of the differential equation \(\frac{dy}{dx} = \frac{\alpha x^2 + 4x - 4}{2y - 4}\), when \(y(1) = 3\), is \(y^2 - 4y = x^3 + 2x^2 - 4x + c\), then the value of \(\alpha\) is equal to

Which of the following is not the unit of pressure ?

The integrating factor of the differential equation \(\frac{dy}{dx} + \frac{2y}{20 - x} = 10\) is