List of top Questions asked in KEAM- 2024

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:
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:
A flywheel ensures a smooth ride on the vehicle because of its:
The escape speed of the moon when compared with escape speed of the earth is approximately:
Evaluate the integral: \[ \int_{\frac{\pi}{5}}^{\frac{3\pi}{10}} \frac{\sqrt{\tan x}}{1 + \sqrt{\tan x}} \, dx \]
The force of gravity is a:
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:
When heat is supplied to the gas in an isochoric process, the supplied heat changes its:
1 g of ice at 0°C is converted into water by supplying a heat of 418.72 J. The quantity of heat that is used to increase the temperature of water from 0°C is (Latent heat of fusion of ice = \( 3.35 \times 10^5 \, {Jkg}^{-1} \)):
0.5 mole of \( {N}_2 \) at 27°C is mixed with 0.5 mole of \( {O}_2 \) at 42°C. The temperature of the mixture is:
If the fundamental frequency of the stretched string of length 1 m under a given tension is 3 Hz, then the fundamental frequency of the stretched string of length 0.75 m under the same tension is:

The vectors \(\vec{a} = 4\mathbf{i} - 3\mathbf{j} - \mathbf{k}\) and \(\vec{b} = 3\mathbf{i} + 2\mathbf{j} + \lambda\mathbf{k}\) are perpendicular to each other. Then the value of \(\lambda\) is equal to:

The product of the total electric flux emanating from a closed surface enclosing a charge \( q \) in free space is (\( \epsilon_0 \) - electrical permittivity of free space):
Three capacitances 1 \(\mu\)F, 4 \(\mu\)F, and 5 \(\mu\)F are connected in parallel with a supply voltage. If the total charge flowing through the capacitors is 50 \(\mu\)C, then the supply voltage is:
The resistance of a wire at 0 °C is 4 \(\Omega\). If the temperature coefficient of resistance of the material of the wire is \(5 \times 10^{-3} / ^\circ C\), then the resistance of a wire at 50 °C is:
n number of electrons flowing in a copper wire for 1 minute constitute a current of 0.5 A. Twice the number of electrons flowing through the same wire for 20 s will constitute a current of:
If a cell of 12 V emf delivers 2 A current in a circuit having a resistance of 5.8 \(\Omega\), then the internal resistance of the cell is:
Which one of the following statement is INCORRECT?
When a current passing through a coil changes at a rate of 30 A s\(^{-1}\), the emf induced in the coil is 12 V. If the current passing through this coil changes at a rate of 20 A s\(^{-1}\), the emf induced in this coil is:
If the total momentum delivered to a surface by an EM wave is \(3 \times 10^{-4}\) kg m/s, then the total energy transferred to this surface is:
The angle between the lines \[ \frac{x-1}{6} = \frac{y-5}{8} = \frac{z-3}{10} \quad {and} \quad \frac{x+1}{2} = \frac{2y+3}{2} = \frac{z+3}{2} \] is:
Which of the following amines will not undergo carblyamine reaction?
When two coherent sources each of individual intensity \( I_0 \) interfere, the resultant intensity due to constructive and destructive interference are respectively
If the power of a lens is +4 D, then the lens is a
A particle having mass 2000 times that of an electron travels with a velocity thrice that of the electron. The ratio of the de Broglie wavelength of the particle to that of the electron is