List of top Questions asked in KEAM- 2024

The alloy containing about 95% lanthanoids, 5% iron and traces of S, C, Ca and Al which is used in producing Mg-based bullets 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:

Let \( f(x) = 2 - 7 \sin{\left( \frac{2x}{7} \right)} \). Then the maximum value of \( f(x) \) is:

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?
The value of \[ \frac{\cos^{-1}(0) + \sin^{-1}\left( \frac{\sqrt{3}}{2} \right) + \cos^{-1}\left( \frac{1}{2} \right)}{\sin^{-1}(1) + \cos^{-1}\left( \frac{\sqrt{3}}{2} \right) + \sin^{-1}\left( \frac{1}{\sqrt{2}} \right)} \] is equal to:
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:
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
If \[ \frac{1}{1 - \tan x} = \frac{3 + \sqrt{3}}{2}, \quad 0 \leq x \leq \frac{\pi}{2}, \] then the value of \( x \) is equal to:

The foci of the ellipse \(\frac{x^2}{49} + \frac{y^2}{24} = 1\) are:

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
The process by which the electrons can come out of the metal in a spark plug is:
The energy required to excite the hydrogen atom from its first excited state to second excited state is:
In gamma emission, the nucleus emits
If the initial decay rate of a radioactive sample is \( R_0 \), then the decay rate after a half-life time \( T_{1/2} \) is
If the conductivity of the material lies in the range \(10^2 - 10^8 \, \Omega^{-1}m^{-1}\), then it is a
The thickness of the depletion layer on either side of the p-n junction is of the order of
The angle between \( \vec{A} \times \vec{B} \) and \( \vec{B} \times \vec{A} \) 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:
All real gases behave like an ideal gas at:
The radiations used in LASIK eye surgery are: