List of top Questions asked in KEAM

If $ V $ is the velocity of wave in a rope having tension $ T $, find the velocity when the tension becomes $ 8T $.
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 effective capacitance when $n$ identical capacitors are connected in parallel is 10μF, and when connected in series is 0.4μF. Find the value of $n$.
A musician hits a drum 90 times in a minute. The time period of hit 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 $z$.
Minimum wavelength of Brackett series corresponds to transition from $ n_1 $ to $ n_2 $, where $ n_1 $ and $ n_2 $ are respectively...
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.
1 torr = ________
Which is a Lewis acid?

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

Evaluate the integral: $ \int_0^{\frac{\pi}{2}} \frac{1}{1 + \sin x} \, dx $
Evaluate the integral: $ \int e^{x + \frac{1}{x}} \frac{x^2 - 1}{x^2} \, dx $
Evaluate the following integral: $ \int e^{2\theta} \left( 2 \cos^2 \theta - \sin 2\theta \right) \, d\theta $
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?
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.
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 $ F = 6\pi \eta x $, find the dimension of $ x $.
Evaluate the integral: $ \int \frac{1}{x(x^4 + 1)} \, dx $

Which of the following cannot form hydrogen bonding?
A) Phenol  
B) Diethyl ether 
C) Aniline 

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.
Ethanol is made unfit for drinking by adding?
If $ f(x) = \log 3 - \sin x $, $ y = f(f(x)) $, find $ y(0) $.
A cricmeter hits a ball with an initial velocity of 40 m/s. Calculate the maximum range.
In a linear programming problem (L.P.P.), the corner points of the feasible region are $ (5, 0), (10, 0) $ and $ (4, 1) $. Find the maximum value of $ Z = 2x + 3y $.
In a linear programming problem (L.P.P.), the corner points of the feasible region are $ (5, 0), (10, 0) $ and } $ (4, 1) $. Find the maximum value of $ Z = 2x + 3y $.