List of top Questions asked in KEAM

A wave with a frequency of 600 Hz and wavelength of 0.5 m travels a distance of 200 m in a time of:
All real gases behave like an ideal gas at:
When heat is supplied to the gas in an isochoric process, the supplied heat changes its:
The stress required to produce a fractional compression of 1.5% in a liquid having bulk modulus of \( 0.9 \times 10^9 \, {Nm}^{-2} \) is:
The terminal velocity of a small steel ball falling through a viscous medium is:
The force of gravity is a:
The escape speed of the moon when compared with escape speed of the earth is approximately:
A flywheel ensures a smooth ride on the vehicle because of its:
The motion of a cylinder on an inclined plane is:
A particle is displaced from P \( (3i + 2j - k) \) to Q \( (2i + 2j + 2k) \) by a force \( \mathbf{F} = i + j + k \). The work done on the particle (in J) is:
A block of 50 g mass is connected to a spring of spring constant 500 Nm\(^{-1}\). It is extended to the maximum and released. If the maximum speed of the block is 3 ms\(^{-1}\), then the length of extension is:
Impending motion is opposed by:
Which one is an INCORRECT statement?
A ball is thrown vertically upwards with an initial speed of 20 ms\(^{-1}\). The velocity (in ms\(^{-1}\)) and acceleration (in ms\(^{-2}\)) at the highest point of its motion are respectively:
When a cricketer catches a ball in 30 s, the force required is 2.5 N. The force required to catch that ball in 50 s is:
If the initial speed of the car moving at constant acceleration is halved, then the stopping distance \( S \) becomes:
The angle between \( \vec{A} \times \vec{B} \) and \( \vec{B} \times \vec{A} \) is:
If the time period \( T \) of a satellite revolving close to the earth is given as \( T = 2\pi R^a g^b \), then the value of \( a \) and \( b \) are respectively (where \( R \) is the radius of the earth):
If \( \left\lfloor x^2 \right\rfloor \) is the greatest integer less than or equal to \( x^2 \), then \[ \int_0^{\sqrt{2}} \left\lfloor x^2 \right\rfloor \, dx = \]
Find the value of \[ \left| \left( \frac{1+i}{\sqrt{2}} \right)^{2024} \right|. \]
The integral \( \int (x^4 - 8x^2 + 16x)(4x^3 - 16x + 16) \, dx \) is:
Let \( \left\lfloor x \right\rfloor \) be the greatest integer less than or equal to \( x \). Then \[ \lim_{x \to 0^-} \frac{x \left( \left\lfloor x \right\rfloor + |x| \right)}{|x|} \] is equal to:
If \( x = 5 \tan t \) and \( y = 5 \sec t \), then \( \frac{dy}{dx} \) at \( t = \frac{\pi}{3} \) is:
The area bounded by the curves \( y = x^2 \) and \( y = 2x \) in the first quadrant, is equal to:
The integral

\[ \int \frac{\sec x}{(\sec x + \tan x)^2} \, dx \] is: