List of top Questions asked in MET

A voltmeter of resistance 998 \(\Omega\) is connected across a cell of emf 2 V and internal resistance 2\(\Omega\). The potential difference across the voltmeter is

Two capacitors, one 4 pF and the other 6 pF, connected in parallel, are charged by a 100 V battery. The energy stored in the capacitors is

The linear momentum is increased by 50%, the kinetic energy will increase by

Two equal point charges, \(Q = +\sqrt{2}\ \mu\)C are placed at each of the two opposite corners of a square and equal point charges \(q\) at each of the other two corners. The value of \(q\), so that the resultant force on \(Q\) is zero is

Two equal charges \(q\) are kept fixed at \(-a\) and \(+a\) along the \(x\)-axis. A particle of mass \(m\) and charge \(\dfrac{q}{2}\) is brought to the origin and given a small displacement along the \(x\)-axis, then

When an equilateral prism of refractive index \(\sqrt{3}\) produces minimum deviation the angle of incidence at the first face must be

For a colour of light the wavelength for air is 6000 \AA\ and in water the wavelength is 4500 \AA. Then the speed of light in water will be

A geo-stationary satellite is orbiting the earth at height of 6\(R\) above the surface of the earth, \(R\) being the radius of the earth. The time period of another satellite at a height of 2.5 \(R\) from the surface of the earth is

What is the Boolean equation for a NAND gate with inputs \(A\) and \(B\)?}

A \(p\)-\(n\) junction is designed to withstand current up to a maximum in 10 mA. A resistor \(R = 200\ \Omega\) is connected in series with it. When forward biased the diode has a potential drop of 0.5 V. The maximum voltage of the battery required to forward bias the diode is

The ratio of the wavelength of first line of Balmer series to the first line of Lyman series is

An electron at rest is accelerated through a potential difference of 200 V. If the electron acquires a velocity of \(8.4 \times 10^8\) cm/s, its \(e/m\) ratio is

The angle of minimum deviation for a prism of angle \(A\) is \(180 - 2A\). The refractive index is

Two coherent sources of intensity ratio 9:4 produce interference. What is the ratio between maxima and minima in the interference pattern produced?

Three 2 \(\Omega\) resistors are connected to form a triangle. The resistance between any two corners is

A cell of emf \(E\) is connected across a resistance \(R\). The potential difference between the terminals of the cell is found to be \(V\). The internal resistance of the cell must be

The electric potential is +100 V at a distance of 10 cm from a point charge \(q\). Then, \(q\) is equal to

A charged particle of mass \(m\) and charge \(q\) is released from rest in an electric field of magnitude \(E\). The kinetic energy of the particle after time \(t\) second is

A force of 20 N acts on a body of mass 2 kg initially at rest. Find the work done in 2 s.

A man weighing 100 kg slides down a light rope with an acceleration of 1.8 m s\(^{-2}\). If \(g = 9.8\) m s\(^{-2}\), the tension in the rope is

A 2 kg copper block is heated to 500\(^\circ\)C and is then placed on a large block of ice at 0\(^\circ\)C. If the specific heat capacity of copper is 400 J kg\(^{-1}\) \(^\circ\)C\(^{-1}\) and latent heat of fusion of water is \(3.5 \times 10^5\) J kg\(^{-1}\), the amount of ice that can melt is

The temperatures of two bodies \(A\) and \(B\) are respectively 727\(^\circ\)C and 327\(^\circ\)C. The ratio \(H_A : H_B\) of the rates of heat radiated by them is

The half-life period of radium is 1600 yr. The fraction of a sample of radium that would remain after 6400 yr is

A voltmeter has resistance of \(G\) ohms and range \(V\) volts. The value of resistance used in series to convert it into a voltmeter of range \(nV\) volts is

The angle of a prism is 60\(^\circ\) and its refractive index is \(\sqrt{2}\). The angle of minimum deviation suffered by a ray of light in passing through it is