List of top Questions asked in KEAM- 2019

A wave along a string has the following equation $y = 0.05 \sin (28t - 1.78x)\, m$ (where t is in seconds and x is in meters). What are the amplitude, (A) frequency (f) and wavelength $(\lambda)$ of the wave?

A block of mass 5 kg resting on a horizontal surface is connected by a cord, passing over a light frictionless pulley to a hanging block of mass $5\, kg$. The coefficient of kinetic friction between the block and the surface is 0.5. Tension in the cord is : $(g = 9.8 \,m/sec^2)$

A ball falling in a lake of depth 200 m shows 0.1% decrease in its volume at the bottom. The bulk modulus of the material of the ball is

The radius of gyration about an axis through the center of a hollow sphere with external radius a and internal radius b is

A body undergoing simple harmonic motion has a maximum acceleration of $8\,m / s ^{2}$ and maximum speed of $1.6\,m / s$. What is the time period $T$ ?

A vehicle moving at $36\, km/hr$ is to be stopped by applying brakes in the next $5\, m$. If the vehicle weighs $2000\, kg,$ determine the average force that must be applied on it

Maximum number of photons emitted by a bulb capable of producing monochromatic light of wavelength $550\, nm$ is ..........., if $100\, V$ and $1\, A$ is supplied for one hour.

The standard heat of formation of $CH_4, CO_2$ and $H_2O (I)$ are $-76.2, -394.8$ and $-285.82\, kJ\, mol^{-1}$, respectively. Heat of vaporization of water is $44\, kJ\, mol^{-1}$. Calculate the amount of heat eveolved when $22.4\, L$ of $CH _4$, kept under normal conditions, is oxidized into its gaseous products

The standard of length is maintained by a 1 meter long bar made up of a material having coefficient of linear expansion $\alpha = 0.00001 {^{\circ}C^{-1}}$. If the length of the bar were to be preserved to an accuracy of 1 part per million, what would be maximum allowed temperature variation?

The Henry�s law constant for $O_2$ dissolved in water is $4.34 \times 10^4$ atm at certain temperature. If the partial pressure of $O_2$ in a gas mixture that is in equilibrium with water is 0.434 atm, what is the mole fraction of $O_2$ in the solution?

A spring of natural length $l$ and spring constant $50\, N/m$ is kept on a horizontal frictionless table with one end attached to a rigid support. First the spring was compressed by $10\, cm$ and then released to hit a ball of mass $20\, g$ kept at a distance l from the rigid support. if after hitting the ball, the natural length of the spring is restored, what is the speed with which the ball moved? (Ignore the air resistance)

Consider a driven damped mechanical oscillator is in resonance. Which of the following statements is true?

The $Q$ factor for a damped oscillator is given by the

On passing silent electric discharge through oxygen in an ozonizer, $5.5\, mol \%$ of oxygen is converted to ozone. How many moles of $O_2$ and $O_3$ result when $35$ moles of $O_2$ is originally present?