List of top Questions asked in KEAM

A train consists of an engine and 3 coaches, first coach is closest to the engine, third coach is farthest from engine. The train is moving with a constant acceleration a. The mass of each coach is M. The force exerted by the first coach on the second coach will be:

N capacitors,each with 1μF capacitance,are connected in parallel to store a charge of 1C. The potential across each capacitor is 100V. If these N capacitors are now connected in series,the equivalent capacitance in the circuit will be:

A horizontal force is exerted on a 20 kg box to slide it up on an inclined plane with an angle of 30°. The frictional force retarding the motion is 80 N. If the box moves with a constant speed, then the magnitude of the force is:(Take g=10 ms^-2)

Suppose a force is given by the expression=kx²;where x has the dimension of length.The dimension of k is:

For the hydrogen spectrum,the wavelength in Balmer series is given by \(\frac{1}{λ}\)=R(\(\frac{1}{n_{1}^{2}}\)-\(\frac{1}{n_{2}^{2}}\)) where λ= wavelength and R is Rydberg constant. What are the values of n₁ and n₂,for the longest wavelength in the Balmer series?

A laser source emits light of wavelength 300nm and has a power of 3.3mW. The average number of photons emitted per second is:(Speed of light-3x10⁸m/s,Plank's constant 6.6 x 10^-34J/s)

What is the de Broglie wavelength corresponding to a ball of mass 100 g moving with a speed of 33 m/s? (Plank's constant-6.6 x10^-34 J/s)

Two thin convex lenses L₁ and L₂,have focal lengths 4 cm and 10 cm, respectively. They are separated by a distance of x cm as shown in the figure. A point source S is placed on the principal axis at a distance 12 cm to the left of L₁. If the image of S is formed at infinity, the value of x is:

Consider a particle executing a simple harmonic motion. Let x,A,K and U are displacement,amplitude,kinetic energy and potential energy,respectively,of the particle at certain instant of time. If\(\frac{K}{U}\)=3,then \(\frac{x}{A}\) is:

A car is moving with an initial speed of 5 m/s. A constant braking force is applied and the car is brought to rest in a distance of 10 m. What is the average speed of the car during the deceleration process?

Consider a vector addition \(\vec{P}\)+\(\vec{Q}\)=\(\vec{R}\). If \(\vec{P}\)=|\(\vec{P}\)|\(\hat{i}\),|\(\vec{Q}\)|=10 and\(\vec{R}\)= 3 |\(\vec{P}\)|\(\hat{j}\),then |\(\vec{P}\)| is:

When a vibrating tuning fork moves towards a stationary observer with a speed of 50 m/s, the observer hears a frequency of 350 Hz. The frequency of vibration of the fork is:(Take speed of sound = 350 m/s)

A toroid with 500 turns of wire carries a current of (2\(\pi\)) Ampere. A metal ring inside the toroid provides the core and has susceptibility of 2x10^-5. If the magnetization 5x10^-2 A/m, then radius of the ring is:

A resistance R is connected across an ideal battery. The total power dissipated in the circuit is P. If another resistance R is added in series,the new total dissipated power is:

In the magnetic meridian of a certain plane,the horizontal component of earth's magnetic field is 0.36 Gauss and the dip angle is 60°. The magnetic field of the earth at location is:

An ideal gas is compressed in volume by a factor of 2,while keeping its temperature constant. The speed of sound in it is:

A metallic cylindrical wire 'A' has length 10 cm and radius 3 mm. Another hollow cylindrical wire 'B' of the same metal has length 10 cm, inner radius 3 mm and outer radius 4 mm. The ratio of the resistance of the wires A to B is:

A current-carrying long solenoid is formed by winding 200 turns per cm. If the number of turns per cm is increased to 201, keeping the current constant, then the magnetic field inside the solenoid will change by:

An inductor coil with an internal resistance of 50 Ω stores magnetic field energy 180 mJ and dissipates energy as heat at the rate of 200 W when a constant current 9 passed through it. The inductance of the coil will be:

In a current carrying coil of inductance 60 mH,the current is changed from 2.5 A in one direction to 2.5 A in the opposite direction in 0.10 sec. The average induced EMF in the coil will be:

The inequality \(\frac{2x-1}{3}\geq\frac{3x-2}{4}-\frac{(2-x)}{5}\) holds for x belonging to

The mean deviation about the median for the data 3, 5, 9,3, 8, 10, 7 is

If z₁ and z₂ are two different complex numbers with |z₂|=1, then \(|\frac{1-\bar{z_1}z_2}{z_1-z_2}|\)is equal to

The equation of the circle touching the x-axis at (5, 0) and the line y = 10 is

A man weighing 70 kg is riding on a cart of mass 30 kg which moves along a level floor at a speed of 3 ms^-1. If he runs on the cart so that his velocity relative to the cart is 4ms^-1 in the direction opposite to the motion of the cart, the speed of centre of mass of the system is