List of top Questions asked in KEAM

If the angular displacement in 10 seconds is $ 150^\circ $, find the number of revolutions in 10 seconds.
Given the function \( h(x) = f(g(x)) \), where \( f(x) = f'(x) = 3 \), and \( g(x) = 9 \), find \( g'(3) \), \( f'(3) \), and \( h'(3) \).
If $ \mu_s $ and $ \mu_k $ are static and kinetic friction, then:
Coefficient of friction is the ratio of?
When blue light is incident on metal surface, photoelectrons are emitted. When green light is incident, no photoelectrons are emitted. What is the number of photoelectrons emitted when yellow light is incident?
Electric field lines around a positive charge are directed:
Work done on splitting a spherical drop into 8 droplets?
If \(T\) and \(n\) are surface tension and coefficient of viscosity, if temperature increases, then:
Find the frequency of the waveform shown in the graph.
A wire of length 1m is clamped at half of its length. If the fundamental frequency is 3kHz, then find the velocity.
To have the same RMS value as that of hydrogen at 30K, what will be the temperature of the oxygen molecule?
Solve for \( a \) and \( b \) given the equations: \[ \sin x + \sin y = a, \quad \cos x + \cos y = b, \quad x + y = \frac{2\pi}{3} \]
Which of the following is true in an SHM?
If maximum height and range are equal in projectile motion, then $ \tan \theta = ... $:
A cricmeter hits a ball with an initial velocity of 40 m/s. Calculate the maximum range.
Find the magnetic field inside a solenoid having number of turns 7000, length 1m, and current 1 A.
What is the path followed by a charge entering a uniform magnetic field with its initial velocity along the direction of the magnetic field?
What is the angle between the current and the magnetic field if a conductor carrying 2A current placed in a magnetic field of 4T experiences a force of 10N?
The ratio of the velocity of light in a vacuum to that in a medium is?
The velocity of light through a medium of relative permittivity 2 and relative permeability 4.5 is (in terms of $ c $):
Chromatic aberration arises in their lens due to:
A light is incident on a surface having refractive index $ \frac{4}{3} $ and reflected light is completely polarised. $ \left( \tan 53^\circ = \frac{4}{3} \right) $. What is the angle of incidence?
Electrostatic force is maximum when charge \( Q \) is placed at ------?
The inward electric flux through a closed surface is \( 6 \times 10^{-5} \) and the outward flux is \( 3 \times 10^{-5} \). Then the total charge enclosed is?
If \( -5<x \leq -1 \), then \( -21 \leq 5x + 4 \leq b \). Find \( b \).