List of top Questions asked in KEAM- 2016

The Zeroth law of thermodynamics leads to the concept of

If a capillary tube of radius $r$ is immersed in a liquid, the liquid rises to a height $h$. The corresponding mass of liquid column is $m$. The mass of water that would rise in another capillary tube of twice the radius is

In a horizontal pipe of non-uniform cross-section, water flows with a velocity of \( 1 \text{ m s}^{-1} \) at a point where the diameter of the pipe is 20 cm. The velocity of water (in m s\(^{-1}\)) at a point where the diameter of the pipe is 5 cm is

A stone of density \( 2000 \, \text{kg m}^{-3} \) completely immersed in a lake is allowed to sink from rest. If the effect of friction is neglected, then after 4 seconds, the stone will reach a depth of

A spherical ball of diameter 1 cm and density \( 5 \times 10^3 \, \text{kg m}^{-3} \) is dropped gently in a large tank containing viscous liquid of density \( 3 \times 10^3 \, \text{kg m}^{-3} \) and coefficient of viscosity \( 0.1 \, \text{Ns m}^{-2} \). The distance the ball moves in 1 s after attaining terminal velocity is (\( g = 10 \, \text{m s}^{-2} \))

Polar satellites

If a body of moment of inertia \( 2 \text{ kg m}^2 \) revolves about its own axis making 2 rotations per second, then its angular momentum (in J s) is

A rigid body is the one in which

A body hanging from a massless spring stretches it by 3 cm on earth's surface. At a place 800 km above the earth's surface, the same body will stretch the spring by (Radius of earth = 6400 km)

The acceleration due to gravity on the surface of a planet is one-fourth of the value on earth. When a brass ball is brought to this planet, its

A car of mass 1500 kg is lifted up a distance of 30 m by crane A in 0.5 minutes. The second crane B does the same job in 1 minute. The ratio of their powers is

The position vectors of two identical particles with respect to the origin in three dimensional coordinate system are \( \vec{r}_1 \) and \( \vec{r}_2 \). The position vector of centre of mass of the system is given by

Water from a hose pipe of radius 5 cm strikes a wall normally at a speed of 5 m/s. The force exerted on the wall in newton is

The Work-Energy theorem states that the change in

The one which does not represent a force in any context is

When rigid body has neither linear acceleration nor angular acceleration then it is said to be in

The equilibrium constant for the following reactions $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g), N_2(g) +O_2(g) \rightleftharpoons 2NO(g)$ and$ H_2(g) + \frac{1}{2} O_2(g) \rightleftharpoons H_2O(1g)$ are K1, K2 and K3 respectively. The equilibrium constant (K) for the reaction

A given sample of an ideal gas occupies a volume $V$ at a pressure $P$ and absolute temperature $T$. The mass of each molecule of the gas is $m$. Which of the following gives the density of the gas ?

A solution contains 4 g of NaOH and 16.2 g of water. The mole fraction solute and solvent are respectively

A compound 'A'with molecular formula \({C_5H_{10}O}\)gives a positive \({2,4-DNP}\) test but a negative Tollen's test. On treatment with sodium hypochlorite, it gives \({CHCl_3}\) and compound 'B'. Compound 'B' is

The equation of the tangent to the curve $y = x^3 - 6x + 5$ at $(2,1)$ is

Choose the wrong statement

The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is

If a and ??are the roots of 4x2 + 2x + 1 = 0, then ??=