List of top Questions asked in KEAM

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:

The value of $ i^3 + i^4 + i^5 $+ .. + $i^{93}$ is:

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 $.
The ratio of the velocity of light in a vacuum to that in a medium is?
If $ \mu_s $ and $ \mu_k $ are static and kinetic friction, then:
If the kinetic energy decreases by 49%, what is the percentage change in speed?
The wavelength of body radiation having maximum energy is $ \lambda_m $ at temperature $ T $. If the wavelength of radiation corresponds to maximum energy is $ \frac{\lambda}{3} $, then temperature is:
A light is incident on a surface having refractive index $ \frac{4}{3} $ and reflected light is completely polarised. $ \left( \tan 53^\circ = \frac{4}{3} \right) $. What is the angle of incidence?
Find the value of: $ \sin 75^\circ \times \sin 15^\circ \times \sin 45^\circ $
What is the ratio of distances travelled by a body in the first two intervals of 5 seconds? (Given the initial velocity $ u = 1 \, \text{m/s} $ and the body moves with a constant acceleration of $ 5 \, \text{m/s}^2 $)
Two satellites are revolving at a distance of 2.5R and 7.5R from the center of the Earth. Find the ratio of time period of the satellites.
Evaluate the following limit: $ \lim_{\theta \to 0} \frac{\theta \sin 2\theta}{1 - \cos 2\theta} $

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

The orbital velocity of a satellite is $ V_0 $, at a height $ h = R $ (where $ R $ is the radius of the Earth) from the surface of the Earth. What is the relationship between $ V_0 $ and the escape velocity $ V_e $?
The initial amount of radioactive element in a sample is $ 6 \times 10^3 $. After 48 years, the number of radioactive elements becomes $ 0.75 \times 10^3 $. Find the half-life.
If an inductor coil of self-inductance 2H stores 25J of magnetic energy, then the current passing through it is:
Current in a coil changes at the rate of 10 A/s. The induced emf is 120V. Find the inductance $ L $ of the coil.
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:
If $ F = 6\pi \eta x $, find the dimension of $ x $.
Find the incorrect pair:
Find the incorrect pair:
Evaluate the integral: $ \int_0^{\frac{\pi}{2}} \frac{1}{1 + \sin x} \, dx $