List of top Questions asked in KEAM

Find the pH of the solution if \( [\text{H}^+] = 2 \times 10^{-4} \, \text{mol/L} \).
The reaction shown is: \[ \text{Phenol} + \text{CHCl}_3 + \text{NaOH} \rightarrow \text{Salicylaldehyde} \] What is the name of the above reaction?
Which among the following has the highest molar elevation constant?
If the half-life of \( D \) is 1500 years and \( B \) is 2000 years, what is the mean lifetime?
Among the following, which one is incorrect? \[ \text{BrF}_5 \rightarrow \text{Trigonal bipyramidal}, \quad \text{SF}_4 \rightarrow \text{See saw}, \quad \text{NH}_3 \rightarrow \text{Pyramidal}, \quad \text{XeF}_4 \rightarrow \text{Square planar} \]
Common oxidation state of Cr?
Find the rate constant at 310K if the initial concentration is 0.72 mol L$^{-1}$ and the final concentration is 1.44 mol L$^{-1}$ at 10 minutes.
What is the formula of lanthanoids with sulfur?
If \( \cot^{-1} \left( \frac{\sqrt{1 - x}}{\sqrt{1 + x}} \right) \), then find \( \sec^2 \theta \).
The cubic polynomial \( 2x^3 - 3x^2 - 36x + 28 \) is increasing in the range of \( x \). Find the interval where the function is increasing.
What is the order of the SN2 reaction for the compounds: \[ \text{2-methyl-2-bromo-butene}, \quad \text{2-bromo-butene}, \quad \text{1-bromo-butane} \]
Which of the following bond enthalpies is the least: \[ C = C, C = O, C \equiv N, C = N \]
Number of sigma and pi bonds in methyl but-1-ene is:
If \( Z = \frac{2 - i}{\alpha + i} \) and \( 4 \, \text{Re}(Z) = 3 \, \text{Im}( \overline{Z} ) \), find \( \alpha \).
Find the vertex of the parabola \( 4y = x^2 - 6x + 17 \).
Initial concentration of a reaction is \( 1.68 \times 10^{-2} \) and after 10 minutes concentration becomes \( 0.84 \times 10^{-2} \). Then the rate of concentration in minutes is:
What phenomenon is explained by the wave nature of electromagnetic radiation?
Electrostatic force is maximum when charge \( Q \) is placed at ------?
Fehling's solution is a mixture of:
Given that \( |\mathbf{a} + \mathbf{b}| = \frac{\sqrt{14}}{2} \), where \( \mathbf{a} \) and \( \mathbf{b} \) are unit vectors, find the value of \( |\mathbf{a} + \mathbf{b}|^2 - |\mathbf{a} - \mathbf{b}|^2 \).
Find the focus of the parabola \( x^2 - 4x + 8y + 4 = 0 \).
Relations between the speed of X-ray, gamma-ray, and UV rays when they travel in a vacuum.
If the frequency of the cyclotron is doubled, then the radius becomes?
The velocity is given as \( \mathbf{v} = 3\hat{i} + 3\hat{j} \). Find the acceleration \( \mathbf{a} \).
Evaluate the limit: \[ \lim_{x \to \infty} \frac{\sqrt{\cos^2 x + 3} - \sqrt{\cos^2 x + \sin x + 3}}{x} \]