List of top Questions asked in MET- 2021

A current of 2 A flows in the system of conductors as shown in the figure. The potential difference \(V_P - V_R\) will be :

Given that \(q_1 + q_2 = q\). For what ratio \(q_1/q_2\) will the force between \(q_1\) and \(q_2\) be maximum ?

A coil of wire of resistance \(50\Omega\) is embedded in a block of ice and a potential difference of 210 V is applied across it. The amount of ice which melts in 1 s is :

When 1 g hydrogen (ECE = \(1.044 \times 10^{-8} \, \text{kg C}^{-1}\)) forms water, 34 kcal heat is liberated. The minimum voltage required to decompose water is :

Two capacitors of capacitance \(2\mu F\) and \(6\mu F\) are connected in series. A potential difference of 800 V is applied to the outer plates of the two capacitors system. The charge on each capacitor will be :

If an electron has an initial velocity in a direction different from that of an electric field, the path of the electron is :

Due to the dipole shown in figure, the electric intensity will be parallel to the dipole axis at the point :

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 conducting sphere of radius R is charged to a potential of V volt. Then the electric field at a distance \(r(>R)\) from the centre of sphere would be :

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 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:

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:

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:

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

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

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

8 g of \(O_2\), 14 g of \(N_2\), and 2 g of \(CO_2\) is mixed in a container of 10 L capacity at \(27^\circ C\). The pressure exerted by the mixture is: (R = 0.082 L atm K\(^{-1}\) mol\(^{-1}\))

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

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?

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 \(T_2\)?

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 :

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 :

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 :