List of top Questions asked in MET- 2013

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
The radius \(R\) of a soap bubble is doubled under isothermal condition. If \(T\) be the surface tension of soap bubble, the work done in doing so is given by
Radius of orbit of satellite of earth is \(R\). Its kinetic energy is proportional to
Threshold wavelength of a metal is \(4000\ \text{Å}\). If light of wavelength \(3000\ \text{Å}\) irradiates the surface, the maximum kinetic energy of photoelectron is
A body of specific heat \(0.2\ \text{kcal/kg}^\circ\text{C}\) is heated through \(100^\circ\text{C}\). The percentage increase in its mass is
Two similar coils are kept mutually perpendicular such that their centres coincide. At the centre, find the ratio of the magnetic field due to one coil and the resultant magnetic field through both coils, if the same current is flown
A car is moving along a straight horizontal road with a speed \(v_0\). If the coefficient of friction between the tyres and the road is \(\mu\), the shortest distance in which the car can be stopped is
A car travelling on a straight track moves with uniform velocity \(v_1\) for some time and with uniform velocity \(v_2\) for the next equal time. The average velocity of the car is
A balloon contains \(1500\ \mathrm{m}^3\) of helium at \(27^{\circ}\mathrm{C}\) and 4 atmospheric pressure. The volume of helium at \(-3^{\circ}\mathrm{C}\) temperature and 2 atmospheric pressure will be
The angular velocities of three bodies in simple harmonic motion are \(\omega_{1},\omega_{2},\omega_{3}\) with their respective amplitudes as \(A_{1},A_{2},A_{3}\). If all the three bodies have same mass and velocity, then
Super cooled water is liquid water that has been cooled below its normal freezing point.This state is thermodynamically
Consider the following statements I. Repulsive forces are significant when the molecules are close together on average. II. Attractive intermolecular forces are important when the molecules are fairly close together but not necessarily touching. III. Attractive forces are ineffective when the molecules are for apart. Select correct statements.
An operon unit consist of
$ Ca{{(HC{{O}_{3}})}_{2}}(s) $ decomposes as $ Ca{{(HC{{O}_{3}})}_{2}}(s)\xrightarrow[{}]{{}}CaC{{O}_{3}}(s)+{{H}_{2}}O(g) $ $ +C{{O}_{2}}(g) $ Total pressure at equilibrium is found to be 0.12 bar. Thus, $ {{K}_{p}} $ is