List of top Questions asked in KEAM- 2024

If \( |x - 2| \leq 4 \), then \( x \) lies in the interval:

In the circuit given below, the current is: 

Bohr atom model is invalid for:
When light is reflected from an optically rarer medium:
Focal length of a convex lens of refractive index 1.5 is 3 cm. When the lens is immersed in water of refractive index \( \frac{4}{3} \), its focal length will be:
The terminal potential difference of a cell in the open circuit is 2 V. When the cell is connected to a 10$\omega$ resistor, the terminal potential difference falls to 1.5 V. The internal resistance of the cell is:
A steady current of 2 A is flowing through a conducting wire. The number of electrons flowing per second in it is:
A narrow single slit of width \( d \) is illuminated by white light. If the first minimum for violet light (\( \lambda = 4500 \, {Å} \)) falls at \( \theta = 30^\circ \), the width of the slit \( d \) in microns is (1 micron = \( 10^{-6} \) m):
Let \( a, b, c \) be positive numbers. If \( a + b + c \geq K \left[ (a + b)(b + c)(c + a) \right]^{1/3} \), then the maximum value of \( K \) is:
In an LCR circuit, at resonance, the value of the power factor is:
A stationary body of mass 5 g carries a charge of 5 $\mu$C. The potential difference with which it should be accelerated to acquire a speed of 10 m/s is:
A proton and a photon have the same energy. Then the de-Broglie wavelength of proton \( \lambda_p \) and wavelength of photon \( \lambda_0 \) are related by:
The ratio between the root mean square velocities of \( O_2 \) and \( O_3 \) molecules at the same temperature is:
The slope of the graph plotted between the square of the time period of a planet \( T^2 \) and the cube of its mean distance from the sun \( r^3 \) is:
The decreasing order of basic strength of amines in aqueous medium is:
The value of \( \int_{\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{\tan x + \sin x}{1 + \cos^2 x} \, dx \) is equal to:
Domain of the function \( \sin^{-1}(2x - 1) \) is:
If \( A = \begin{bmatrix} 3 & 7 \\ 2 & 5 \end{bmatrix} \), then \( A^2 (\text{adj} A) \) is:
The common ratio of a G.P. is 10. Then the ratio between its 11th term and its 6th term is:
A fluid has stream line flow through a horizontal pipe of variable cross-sectional area. Then:
A thin spherical shell of radius 12 cm is charged such that the potential on its surface is 60 V. Then the potential at the centre of the sphere is:
A machine gun fires a bullet of mass 25 g with a velocity of 1000 ms\(^{-1}\). If the man holding the gun can exert a maximum force of 100 N on the gun, the maximum number of bullets that he can fire per second is:
If \( n \) small identical liquid drops, each having terminal velocity \( v \), merge together, then the terminal velocity of the bigger drop is:
If \( z = 1 + i \), then the maximum value of \( |z + 12 + 9i| \) is
If \( x + iy = \frac{3 + 4i}{5 - 12i} \), then \( x + y \) is equal to