List of top Questions asked in KEAM- 2024

Some enzyme catalysed reactions which occur at metal surfaces are:
Two straight long parallel wires carrying equal amounts of current in opposite directions placed 5 cm apart repel each other by a force \( F \). If the current in one of the wires is doubled and reversed, then the force between them is:
A car moving with a speed \( v \) is stopped at a distance \( d \) by a retarding force \( F \). The force needed to stop the same car moving with the speed \( 3v \) within the same distance is:
A balloon of mass 60 g is moving up with an acceleration of 4 m/s\(^2\). The mass to be added to the balloon to descend it down with the same acceleration is (g = 10 m/s\(^2\)):
If a planet orbits the Sun in an elliptical orbit, the quantities associated with the planet that remain constant are:
The quantity of heat conducted through a metal rod kept at its ends at 100°C and 120°C is 5 J/s. If the ends are kept at 200°C and 220°C, then the quantity of heat conducted in 10 seconds is:
In a Carnot engine, the temperature of the sink is 350 K. If the efficiency of the engine is 50%, the temperature of the source should be:
The electric field intensity due to an ideal dipole at a distance \( r \) from its center on the axial point is directly proportional to:
If the power of a lens is -2.0 D, then the type and focal length \( f \) of the lens are:
The equipotential surface is:
If \( E_c \) and \( E_v \) represent the energy of the conduction band and valence band, \( E_D \) represent the donor energy level, and the band gap in a n-type semiconductor, then the true relation among them is:
In an Young double slit experiment without varying the distance of the screen and the slit separation, if the wavelength of monochromatic source is changed one by one in the ratio 2:3:4, then the corresponding fringe widths measured will be in the ratio:
Which lanthanide element has half-filled 4f orbitals in its +3 state?
Evaluate the sum \[ \sum_{n=1}^{24} \left( i^n + i^{n+1} \right) \] is:
Simplify the following expression: \[ \frac{\sin 7x + \sin 5x}{\cos 7x + \cos 5x} \] The simplified form is:
Simplify the following expression: \[ \cos 18^\circ \cos 42^\circ \cos 78^\circ. \] The simplified form is:
Out of the following pair of elements, identify isotones:
The length of the latus rectum of the parabola \( y^2 = x \) is:
A body of mass \( M \) is at equilibrium under the action of four forces \( F_1, F_2, F_3 \), and \( F_4 \). If \( F_1 \) is removed from the body, then the body moves with an acceleration of:
If an ideal engine needs to transmit a torque of 200 Nm to maintain a rotor at a uniform angular speed of 300 rads\(^{-1}\), then the power required for the engine is:
If \[ \sin^{-1} x + \sin^{-1} y + \sin^{-1} z = \frac{3\pi}{2}, \] then \( x + y + z = \):
If an ideal gas, in an insulated vessel, is allowed to expand into another similar evacuated vessel through a valve then:
The total energy of a gas mixture of one mole of oxygen and 3 moles of argon at a temperature \( T \) by neglecting vibrational modes is:
Two spheres A and B having respective charges 6 C and 12 C placed at a distance \( d \) repel each other by a force \( F \). The charge given to sphere A to reverse the force as \( -F \) is:
The de Broglie wavelength associated with the electrons accelerated by a potential of 81 V is lying in the region of electromagnetic waves: