List of top Questions asked in KEAM- 2020

A body of mass \(2\) kg is moving with a momentum of \(10\ \text{kg m s}^{-1}\). The force needed to increase its kinetic energy four times in \(10\) seconds is

If a force \(\vec{F}=\hat{i}-2\hat{j}-4\hat{k}\) acting on a particle displaces it from \((1,1,1)\) to \((2,-1,0)\), then the work done by the force (in units of work) is

A ship of mass \(2\times10^7\) kg initially at rest is pulled by a force of \(5\times10^5\) N through a distance of \(2\) m. Assuming that the resistance due to water is negligible, the speed of the ship is

The Work-Energy theorem

A force of \((2\hat{i}+3\hat{j})\) N acts on a body of mass \(1\) kg which is at rest initially. The acceleration of the body is

A running boy has the same kinetic energy as that of a man of twice his mass. If the speed of the boy is \(14.14\ \text{m s}^{-1}\), the speed of the man is

Two projectiles \(P\) and \(Q\) thrown with velocities \(v\) and \(\dfrac{v}{2}\) respectively have the same range. If \(Q\) is thrown at an angle of \(15^\circ\) to the horizontal, \(P\) must be thrown at an angle of

A particle is moved in a semi-circular path of radius \(R\). Then

An object is thrown vertically with a velocity \(v\). The velocity with which it strikes the ground on its return is

Pick out the correct statement

A boy is standing on a weighing machine inside a lift. When the lift goes upwards with acceleration \(\dfrac{g}{5}\), the machine shows the reading \(50\) kg wt. When the lift goes downward with acceleration \(\dfrac{g}{4}\), the reading of the machine, in kg wt, will be

The angle between \(\vec{A}\) and the resultant of \(2\vec{A}+3\vec{B}\) and \(4\vec{A}-3\vec{B}\) is

If \(\varepsilon_0\) and \(\mu_0\) are respectively the electrical permittivity and magnetic permeability of vacuum, the dimensional formula for \(\dfrac{1}{\sqrt{\mu_0 \varepsilon_0}}\) is

The power in an electrical circuit for a current of \(5 \pm 0.4\text{ A}\) and voltage \(10 \pm 0.2\text{ V}\) is measured at \(10%\) error. To measure the power at \(5%\) error the current should be measured at an error of

The angular diameter of a planet measured from earth is \(90''\). If the diameter of the planet is \(x \times 10^4\) m, then its distance from the earth is