List of top Questions asked in KEAM

Solve the following differential equation and integrate: $ \frac{dy}{dx} + \frac{2x}{1 + x^2} \cdot y = x $
Which has a higher boiling point ?
Formula of chromium ore?
Bromomethane on reaction with Na and dry ether gives:
Write the product of the reaction: $ \text{CH}_3 \text{CH}_2 \text{CH}_2 \text{O} \text{Na} + \text{C}_6 \text{H}_5 \text{Br} \to ? $
Ethyl alcohol on reaction with $ H_2SO_4 $ at 413 K gives:
Mean free path is inversely proportional to (n = number density, d = diameter of particle)
What is the hydration enthalpy of sucrose?
Find the log $ K $ value, if $ \Delta G = -11.4 $ and $ 2.303 \cdot RT = 5.7 \times 10^1 $.
Given the set $ S = \{ a, b, c, d, e, f \} $, find the total number of subsets with an odd number of elements.
In which reaction is Benzyl chloride converted to Benzaldehyde?
Bernoulli's principle is applicable to:
If the resistance of a wire is 5 $ \Omega $ and 6 $ \Omega $ at 30°C and 40°C respectively, find the temperature coefficient of resistance.
When an electron is accelerated through a 480V, the wavelength is $ \lambda $. Find the wavelength in terms of $ \lambda $ if it is accelerated through 120V.
If the mean free path of a gas molecule at 27°C is $ 10 \times 10^{-7} \, \text{m} $, then the mean free path at 87°C is:
The effective capacitance when $n$ identical capacitors are connected in parallel is 10μF, and when connected in series is 0.4μF. Find the value of $n$.

In a GP 9, 3, $ \frac{1}{3} $, $ \frac{1}{9} $, … find the 25th term.

Chromatic aberration arises in their lens due to:
The displacement of a body varies with time $ t $ as $ S = \frac{1}{2} t^2 - 6t $. Find the time at which the velocity becomes zero.
Evaluate the following limit: $ \lim_{\theta \to 0} \frac{\theta \sin 2\theta}{1 - \cos 2\theta} $
A pn junction diode without bias acts as:
If $ V $ is the velocity of wave in a rope having tension $ T $, find the velocity when the tension becomes $ 8T $.
If an inductor coil of self-inductance 2H stores 25J of magnetic energy, then the current passing through it is:
Evaluate the integral: $ \int \frac{1}{x(x^4 + 1)} \, dx $
Current in a coil changes at the rate of 10 A/s. The induced emf is 120V. Find the inductance $ L $ of the coil.