List of top Questions asked in KEAM

Specific heat capacity of a substance depends on the

Bernoulli's principle is applicable to

The principle behind the function of Bunsen burner is

$P_a$ is atmospheric pressure and P is absolute pressure at depth h. The gauge pressure at depth h is:

The orbital velocity $v_o$ of a satellite at height R from the surface in terms of escape velocity $v_e$ from the earth is:

Two satellites A and B are orbiting the earth at heights of 2.5R and 7.5R from the centre. The ratio of their time periods is:

If the angular displacement made by a rotating wheel in 10 s is $150\pi$ radian, then the number of revolutions made by it is:

If a torque of 1.25 Nm acts on a circular ring for 4 s, then its angular momentum changes by ($kgm^2s^{-1}$):

The moment of inertia and rotational kinetic energy of a rigid body are 4 $kgm^2$ and 50 J respectively. The angular velocity of the body (in rad $s^{-1}$) is:

A particle moving in a horizontal circle of radius 0.5 m completes half rotation. The work done by the centripetal force of 5 N on the particle (in J) is:

Two bodies having masses in the ratio 1:3 have equal linear momentum. Their respective kinetic energies are in the ratio:

The force to be applied to a body of mass $200\ \text{g}$ to change its velocity by $25\ \text{m s}^{-1}$ in $5\ \text{s}$ is:

A block of mass $m$ is suspended from the ceiling of a lift by an inextensible string. When the lift moves upward with an acceleration of $0.2\ \text{m s}^{-2}$, the tension is $80\ \text{N}$. Then the mass of the block is:

A ball moves in a circle of radius $0.5\ \text{m}$ from A to B (quarter circle) in $\sqrt{2}\ \text{s}$. The average velocity is:

A cricketer hits a ball at $45^{\circ}$ with velocity $40\ \text{m s}^{-1}$ and it falls at $160\ \text{m}$. If he hits at the same angle with $50\ \text{m s}^{-1}$, the distance will be:

A particle moving with an initial velocity of $1\ \text{m s}^{-1}$ has a uniform acceleration of $2\ \text{m s}^{-2}$. The distances travelled by the particle in the first two intervals of $5\ \text{s}$ are respectively:

One torr is:

The dimension of $X$ in the equation $F=6\pi\eta X$ is: (F - Force; $\eta$ - Coefficient of viscosity)

The maximum value of the objective function $z=2x+3y$, when the corner points of the feasible region are (0, 0), (5, 0), (4, 1) and (0, 2), is:

The elimination of arbitrary constants $c_{1}, c_{2}, c_{3}, c_{4}$ from $y=(c_{1}+c_{2})\sin(x+c_{3})-c_{4}e^{x}$ gives a differential equation of order:

If $\frac{dy}{dx} = \frac{1}{8\left(\sqrt{16+\sqrt{25+\sqrt{x}}}\right)\left(\sqrt{25+\sqrt{x}}\right)\sqrt{x}}$, then $y =$

$\int_{-2}^{2}|x+3|\,dx =$

$\int_{0}^{\frac{\pi}{2}}\frac{1}{1+\sin x}\,dx =$

Given that $\int_{0}^{1}\tan^{-1}(t)\,dt = \frac{\pi}{4} - \frac{1}{2}\log 2$, then $\int_{0}^{1}\tan^{-1}(1-t)\,dt =$

The area bounded by $y=x-1$, $1\le x\le 2$, $y=0$ (in sq.units) is