List of top Questions asked in KEAM

A body hanged by a rope in a lift which is moving upward with a constant acceleration of $ 0.2 \, \text{m/s}^2 $. The tension in the rope is 80 N. Find the mass of the body.
Find the area between the line $ y = x - 1 $, $ y = 0 $, $ -2 \leq y \leq 2 $.
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?
Bernoulli's principle is applicable to:
Work done to move a charge of 5C from P to Q is 10J. If the potential at P is 0.5V, then the potential at Q is:
Find $ R $ in the following circuit:
Evaluate the following limit: $ \lim_{\theta \to 0} \frac{\theta \sin 2\theta}{1 - \cos 2\theta} $
Two particles of the same mass have charges in the ratio 3 : 1. What is the ratio of their time periods when they enter a constant magnetic field with the same velocity?
Evaluate the derivative of $ y = \cos x \times \sin y, \quad \frac{dy}{dx} \text{ at } \left( \frac{\pi}{6}, \frac{\pi}{5} \right) $
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.
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.
If $ P_0 $ is the atmospheric pressure and $ P $ is the pressure at a depth $ h $, find the Guage pressure.
A cricmeter hits a ball with an initial velocity of 40 m/s. Calculate the maximum range.
If the angular displacement in 10 seconds is $ 150^\circ $, find the number of revolutions in 10 seconds.
If $ f(x) = \log 3 - \sin x $, $ y = f(f(x)) $, find $ y(0) $.
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 $n$.
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 $?
If $ F = 6\pi \eta x $, find the dimension of $ x $.
Which is a Lewis acid?
A pn junction diode without bias acts as:

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

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:
Given the reaction: $ \text{Cr}_2\text{O}_7^{2-} + x e^- + y H^+ \to 2 \text{Cr}^{3+} + z H_2O $ Find the values of $x$, $y$, and $z$.
Evaluate the integral: $ \int_0^{\frac{\pi}{2}} \frac{1}{1 + \sin x} \, dx $
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.