List of top Physics Questions asked in MET

A heavy uniform rope hangs vertically from the ceiling, with its lower end free. A disturbance on the rope travelling upwards from the lower end has a velocity \(v\) at a distance \(x\) from the lower end such that :

A stretched sonometer wire is in unison with a tuning fork. When length of wire is increased by 1%, the number of beats heard per second is 5. Then the frequency of the fork is :

A mass \(M\) is attached to a string, oscillates with a period of 2 s. If the mass is increased by 4 kg, the time period increases by 1 s. Assuming Hooke's law is obeyed, the initial mass \(M\) was:

A wave travelling in a stretched string is described by the equation \( y = A\sin(kx - \omega t) \). The maximum particle velocity is :

The displacement \(y\) in centimetre is given in terms of time \(t\) second by the equation \[ y = 3\sin 314t + 4\cos 314t \] The amplitude of SHM is :

Two identical cylinders contain helium at 2.5 atm and argon at 1 atm respectively. If both the gases are filled in one of the cylinders, the pressure would be:

An engine has an efficiency of \( \frac{1}{3} \). The amount of work this engine can perform per kcal of heat input is :

During an adiabatic process, the pressure P of a fixed mass of an ideal gas changes by \( \Delta P \) and its volume V changes by \( \Delta V \). If \( \gamma = C_P/C_V \), then \( \Delta V/V \) is given by:

In the indicator diagram, AB is an isotherm and BC is an adiabat, because :

The rays of sun are focussed on a piece of ice through a lens of diameter 5 cm, as a result of which 10 g ice melts in 10 min. The amount of heat received from sun, per unit area per minute is :

A thin copper wire of length L increases in length by 1%, when heated from \(T_1\) to \(T_2\). What is the percentage change in area when a thin copper plate having dimensions \((10L \times 2L)\) is heated from \(T_1\) to \(T_2\)?

A rectangular vessel when full of water takes 10 min to be emptied through an orifice in its bottom. How much time will it take to be emptied, when half filled with water?

To what height should a rectangular cylinder having square base of length 10 cm be filled, so that the total force on the bottom is equal to that on the sides ?

A steel ring of radius r and cross-sectional area A is fitted on to a wooden disc of radius R (R > r). If Young's modulus be Y, then the force with which the steel ring is expanded, is

The ratio of KE required to be given to the satellite to escape earth's gravitational field to the KE required to be given, so that the satellite moves in a circular orbit just above earth's atmosphere is :

A satellite goes along an elliptical path around earth. The rate of change of area swept by the line joining earth and the satellite is proportional to :

Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to \(R^{-5/2}\), then \(T^2\) is proportional to :

A uniform thin bar of mass \(6m\) and length \(12L\) is bent to make a regular hexagon. Its moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is:

A body is moving with constant velocity parallel to x-axis. Its angular momentum w.r.t. the origin will :

A solid sphere of radius R has moment of inertia \(I\) about its diameter. What will be moment of inertia of a shell of same mass and same radius about its diameter?

A particle of mass m is projected with a velocity v at an angle of \(45^\circ\) with horizontal. When the particle is at its maximum height, the magnitude of its angular momentum about the point of projection is:

A ball falls vertically on to a floor, with momentum \(p\), and then bounces repeatedly, the coefficient of restitution is \(e\). The total momentum imparted by the ball to the floor is:

A bullet is fired by a light rifle and the other with a heavy rifle by the same force. Which rifle will cause more injury to the shoulder?

A particle is moving in a circular path with a constant speed \(v\). If \(\theta\) is the angular displacement. Then starting from \(\theta = 0\), the maximum and minimum changes in the momentum will occur, when value of \(\theta\) is respectively:

The displacement x and time t for a particle are related to each other as \( t = \sqrt{x} + 3 \). What is work done in first 6 s of its motion?