List of top Questions asked in KEAM

The ratio of the rate of flow of electrons through three resistors connected in parallel to a voltage source $V$ is $3 : 2 : 1$, then the ratio of their respective resistance values is

The ratio of the heat produced in a $2\,\Omega$ and a $4\,\Omega$ resistor connected in series with a voltage source of $12$ V is

If an infinitely long uniformly charged wire produces an electric field of intensity $E$ at a distance $d$ from it, then the linear charge density $\lambda$ of the wire is

With Laplace correction in Newton’s formula for the velocity of sound in gases, the velocity of sound in monoatomic gas at STP is

If the temperature $T$ of oxygen molecule is raised to $9T$, then its root mean square speed $v$ is increased to

Two perfect monoatomic gases at temperatures \(300\) K and \(410\) K are mixed without any loss of heat. If \(10^{24}\) and \(10^{23}\) are the number of molecules in the respective gases, then the temperature of the mixture is

For a particle executing simple harmonic motion with amplitude $A$ and time period $T$ along x-axis, the time taken by the particle to move from $x = 0$ to $x = A$ is

If an ideal heat engine with an efficiency of $40\%$ rejects heat at $27^\circ$C, then it should have absorbed heat at

If the temperature of $2$ moles of krypton gas is increased from $-11^\circ$C to $89^\circ$C at constant volume, then (specific heat at constant volume of krypton is $C_V$)

Lakes and ponds freeze at the top surface with water below. This phenomenon is due to

The force required to increase the length of a thin copper wire of cross-sectional area \(0.1\ \text{cm}^2\) by \(0.1\%\) is (Young’s modulus of copper is \(11 \times 10^{10}\ \text{N m}^{-2}\))

If a huge tank has a small side hole at a depth of $2$ m from the surface of water, then the velocity of water flowing through the hole is ($g = 10\ \text{m s}^{-2}$)

The ratio of the weights of an object of mass $m$ at a height $R$ and $2R$ from the surface of earth is ($R$ is the radius of earth)

If the magnitude of gravitational potential energy of an object of mass $200$ kg at a height of $3.6 \times 10^6$ m from the earth surface is $6 \times 10^6$ J then its value at a height of $5.6 \times 10^6$ m is (Radius of earth is $6.4 \times 10^6$ m)

A body initially at rest breaks up into two pieces of masses $M$ and $3M$ and move with a total kinetic energy of $E$, then the kinetic energy of the piece of mass $M$ is

A swimmer jumps from a height is able to increase the number of loops made in air by

If \(10\) identical silver coins each of mass \(m\) are placed one over the other, then force on the \(6^{\text{th}}\) coin from the bottom is

If the maximum acceleration of a moving platform to keep a box of mass \(5\) kg on it without sliding is \(3\ \text{m s}^{-2}\), then the static friction between the box and floor of the platform is (\(g = 10\ \text{m s}^{-2}\))

If a proton, a deuteron and an $\alpha$-particle have the same speed, then the kinetic energy is

The moment of inertia of a system of two masses $2$ kg and $4$ kg lying in the x-y plane at distances, $2$ m and $4$ m, respectively from the origin about the z-axis is (in $\text{kg m}^2$)

Which one of the following point is not in a feasible region bounded by the inequalities $x \leq 4$, $y \leq 6$, $x + y \leq 6$, $x \geq 0$, $y \geq 0$

A physical quantity that has the same dimensions as those of Boltzmann constant is

A body starts moving from the origin along a straight line at a speed of \(20\ \text{km h}^{-1}\) for \(1\) hour. Then it turns perpendicular to its path and moves with the same velocity for \(30\) minutes. Then the magnitude of its displacement is

Taking into consideration of significant figures, in the conversion relation \(2.0\ \text{m s}^{-2} = X\ \text{km h}^{-2}\), the value of \(X\) is

If the position vector of a particle is \(\vec{r} = 2t\hat{i} + \sqrt{3}t^2\hat{j} + 5\hat{k}\) with \(\vec{r}\) in m and \(t\) in s, then at \(t = 1\) s the angle made by the velocity vector with x-axis is