List of top Questions asked in MET

A man crosses a 320 m wide river perpendicular to the current in 4 min. If in still water he can swim with a speed 5/3 times that of the current, then the speed of the current, in m/min is

The speed with which the earth have to rotate on its axis so that a person on the equator would weigh \((3/5)^{\text{th}\) as much as present. (Radius of earth = 6400 km)}

The rate of flow of glycerine of density \(1.25 \times 10^3\) kg m\(^{-3}\) through the conical section of a pipe if the radii of its ends are 0.1 m and 0.04 m and the pressure drop across its length 10 N m\(^{-2}\) is

Two spheres of equal masses, one of which is a thin spherical shell and the other a solid, have the same moment of inertia about their respective diameters. The ratio of their radii will be

The correct relation between \(\alpha\) and \(\beta\) in a transistor is

For a body moving with relativistic speed if the velocity is doubled, then

Position of a body with acceleration \(\alpha\) is given by \(x = k \alpha^m t^n\), here \(t\) is time. Find the dimension of \(m\) and \(n\)

The plano-convex lens of focal length \(20\ \text{cm}\) and \(30\ \text{cm}\) are placed together to form a double convex lens, the final focal length will be

In a capillary tube, water rises to \(3\ \text{mm}\). The height of water that will rise in another capillary tube having one-third radius of the first is

Due to a force of \((6\hat{i} + 2\hat{j})\ \text{N\) the displacement of a body is \((3\hat{i} - \hat{j})\ \text{m}\), then the work done is}

An object is placed at a distance \(20\ \text{cm}\) from the pole of a convex mirror of focal length \(20\ \text{cm}\). The image is produced at

Angular momentum is conserved

The Bulk Modulus for an incompressible liquid is

The moment of inertia of a disc of mass \(m\) and radius \(R\) about an axis, which is tangential to the circumference of the disc and parallel to its diameter is

Escape velocity at surface of earth is \(11.2\ \text{km/s}\). Escape velocity from a planet whose mass is the same as that of earth and radius \(1/4\) that of earth, is

A body weighs \(500\ \text{N}\) on the surface of the earth. How much would it weigh half way below the surface of the earth?

A circular disc is rotating with angular velocity \(\omega\). If a man standing at the edge of the disc walks towards its centre then the angular velocity of the disc will

An earth satellite \(S\) has orbit radius which is 4 times that of communication satellite \(C\). The period of revolution of \(S\) will be

\(n\) small balls, each of mass \(m\) impinge elastically each second on a surface with a velocity \(u\), then the force experienced by the surface in one second, will be

An elevator car whose floor to ceiling distance is \(2.7\ \text{m}\) starts ascending with a constant acceleration of \(1.2\ \text{m/s}^2\). \(2\ \text{s}\) after a bolt begins to fall from the ceiling of the car. The free fall time of the bolt is \((g = 9.8\ \text{m/s}^2)\)

A wet open umbrella is held vertical and it whirls about the handle at a uniform rate of 21 revolutions in \(44\ \text{s}\). If the rim of the umbrella is a circle of \(1\ \text{m}\) in diameter and the height of the rim above the floor is \(4.9\ \text{m}\), the locus of the drop is a circle of radius

The moment of inertia of a body about a given axis is \(1.2\ \text{kg·m}^2\). To produce a rotational kinetic energy of \(1500\ \text{J}\) an angular acceleration of \(25\ \text{rad/s}^2\) must be applied for

A running man has half the kinetic energy of that of a boy of half of his mass. The man speeds up by \(1\ \text{m/s}\) so as to have the same kinetic energy as that of the boy. The original speed of the man is

A prism of refractive index \(\sqrt{2}\) has refracting angle of \(60^{\circ}\). At what angle a ray must be incident on it so that it suffers minimum deviation?

Simple pendulum of length \(l\) has a maximum angular displacement \(\theta\). The maximum kinetic energy of the bob is