List of top Questions asked in KEAM- 2025

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:
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?
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.
How many bridging complexes are there in $ \text{[Mg(Co)}_{10}\text{]} $?
Which of the following is an interstitial compound?
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:
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.
In which reaction is Benzyl chloride converted to Benzaldehyde?
A musician hits a drum 90 times in a minute. The time period of hit is:
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.
If $ V $ is the velocity of wave in a rope having tension $ T $, find the velocity when the tension becomes $ 8T $.
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 derivative of $ y = \cos x \times \sin y, \quad \frac{dy}{dx} \text{ at } \left( \frac{\pi}{6}, \frac{\pi}{5} \right) $
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.
Find the incorrect pair:
Find the incorrect pair:
Find the range of $ f(x) = \sqrt{x^2 + 4x + 4} $.
If $ f(x) = \log 3 - \sin x $, $ y = f(f(x)) $, find $ y(0) $.
Which is a Lewis acid?
What is the force to be applied on a body of mass 200g to change its velocity by 25 m/s in 5 seconds?
Evaluate the following limit: $ \lim_{\theta \to 0} \frac{\theta \sin 2\theta}{1 - \cos 2\theta} $
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 value of: $ \sin 75^\circ \times \sin 15^\circ \times \sin 45^\circ $
If $ \tan^{-1}(x) = \tan^{-1}\left( 3 - \frac{\pi}{4} \right) $, find $ x $.