List of top Questions asked in MET

A concave lens is kept in contact with a convex lens of focal length \(20\,cm\). The combination works as a convex lens of focal length \(50\,cm\). The power of concave lens is:

The magnifying power of a telescope is \(m\). If the focal length of the eye piece is doubled, then its magnifying power becomes:

How much deep inside the earth (radius \(R\)) should a man go, so that his weight becomes one-fourth of that on the earth’s surface?

On a heater coil it is written \(250\,V, 500\,W\). What is the resistance of this coil?

Four projectiles are thrown with the same initial speed at angles \(27^\circ, 36^\circ, 43^\circ, 51^\circ\) with the horizontal. The range of projectiles will be the largest for the projectile fired at angle:

A wire of resistance \(5\,\Omega\) is drawn out so that its length is increased to twice its original length, its new resistance is:

Two identical containers A and B with frictionless pistons contain the same ideal gas at the same temperature and volume \(V\). The masses are \(m_A\) and \(m_B\). On isothermal expansion to \(2V\), pressure changes are \(\Delta p\) and \(1.5\Delta p\) respectively. The relation between masses is:

If one mole of monoatomic gas (\(\gamma = \frac{5}{3}\)) is mixed with one mole diatomic gas (\(\gamma = \frac{7}{5}\)), the value of \(\gamma\) for the mixture is:

A solid sphere of mass \(2\,kg\) rolls on a horizontal surface at \(10\,m/s\) and then rolls up a \(30^\circ\) incline. The maximum height reached is:

A spring of force constant \(k\) is cut into two pieces such that one piece is double the length of other. Then, the long piece will have a force constant of:

The time period of a freely suspended magnet is \(4\,s\). If it is broken in length into two equal parts and one part is suspended in the same way, then the time period will be:

Half-life period of a radioactive substance is \(10\,\text{min}\). Then amount of substance decayed in \(40\,\text{min}\) will be:

An object is moving in a circle at constant speed \(v\). The magnitude of the rate of change of momentum of the object is:

Five equal capacitors each with capacitance \(C\) are connected as shown in the figure. Then, the equivalent capacitance between \(A\) and \(B\) is:

A convex lens of focal length \(0.12\,m\) produces an image which is three times the size of the object. The distance between the object and the lens for a real image is:

The formula for magnetic field of a certain component is given by \[ B = \frac{\mu_0 Ni}{2\pi r} \] where, \(N\) = total number of turns, \(i\) = current, \(r\) = radius. The component is:

Two coils have mutual inductance of \(1.5\,H\). If current in primary coil is suddenly raised to \(5\,A\) in one millisecond, the induced emf in the secondary coil is:

The effect of reverse bias in a junction diode on its potential barrier is:

In which of the following process, convection does not take place primarily?

During an experiment, an ideal gas is found to obey an additional law \(Vp^2 = \text{constant}\). The gas is initially at temperature \(T\) and volume \(V\). The temperature of the gas when it expands to a volume \(2V\) is:

The horizontal component of earth’s magnetic field at a place is \(0.4 \times 10^{-4}\,T\). If the angle of dip is \(45^\circ\), the value of total intensity is:

If an observer moves towards a stationary source, then the apparent frequency is given by:

Which equation is valid for adiabatic process?

The mass number of an atom is 15 and its atomic number is 7. Now, this atom absorbs an \( \alpha \)-particle and emits a proton. What will be the mass number of changed atom?

What is the direction of the electric field at the centre \(O\) of the square in the figure shown below? Given that, \( q = 10\,\text{nC} \) and the side of the square is \(5\,\text{cm}\).