List of top Questions asked in MET- 2013

If the length of a pendulum is made 9 times and mass of bob is made 4 times, then the value of time period becomes

Which of the following is unipolar transistor?

A police jeep is chasing with velocity of 45 km/h a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity with which it will strike the car of the thief is

If the work function of a metal is 6.875 eV, its threshold wavelength will be (Take \(c = 3 \times 10^8\) m/s)

The temperature of the black body increases from \(T\) to \(2T\). The factor by which the rate of emission will increase is

If the energy of a hydrogen atom in \(n^{\text{th}}\) orbit is \(E_n\) then energy in the \(n^{\text{th}}\) orbit of a singly ionized helium atom will be

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

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

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 \(n\)

Angular momentum is conserved

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

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

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}

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

The Bulk Modulus for an incompressible liquid 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?

\(n\) 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

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