List of top Questions asked in MET- 2011

Anhydrous AlCl$_3$ fume in air due to:

An element \( M \) has an atomic mass of 19 and atomic number 9, its ions are represented by:

Which of the following sets of quantum numbers is not permitted?

In \( S_8 \) molecules, the type of hybridisation exhibited by sulphur is:

The half-life of the isotope \( ^{11}\text{Na}^{24} \) is 15 h. How much time does it take for \( \frac{7}{8} \) of a sample of this isotope to decay?

Which of the following pairs is an isobar?

In the following reaction, which choice has value twice that of the equivalent weight of the oxidising agent?
\[ \text{SO}_2 + 2\text{H}_2\text{O} \rightarrow \text{S} + 2\text{H}_2\text{O}_2 \]

The largest number of molecules is in:

A mass \( M \) is moving with a constant velocity on a line parallel to the \( x \)-axis. Its angular momentum with respect to the origin or \( z \)-axis:

Orbital is:

A solenoid has an inductance of 60 H and a resistance of 30 ohm. If it is connected to a 100 V battery, how long will it take for the current to reach \( e^{-1} \) of its maximum value?

A current of 1.6 A is passed through a solution of CuSO$_4$. How many \( \text{Cu}^{++} \) ions are liberated in one minute? (Electronic charge \( e = 1.6 \times 10^{-19} \, \text{C} \))

Three blocks of masses \( m_1, m_2 \) are connected by massless strings as shown on a frictionless table. They are pulled with a force \( T_3 = 40 \, \text{N} \). If \( m_1 = 10 \, \text{kg} \), \( m_2 = 6 \, \text{kg} \), and \( m_3 = 4 \, \text{kg} \), the tension \( T_2 \) will be:

The force constant of weightless spring is 16 N/m. A body of mass 1.0 kg suspended from it is pulled down through 5 cm and then released. The maximum kinetic energy of the system (spring + body) will be:

At what temperature will the resistance of a copper wire become three times its value at 0°C? (Temperature coefficient of resistance for copper \( \alpha = 4 \times 10^{-3} /°C \))

A coil having an area of \( 2 \, \text{m}^2 \) is placed in a magnetic field which changes from 1 Wb/m² to 4 Wb/m² in 2 seconds. The emf induced in the coil will be:

A 10 m long copper wire while remaining in the east-west horizontal direction is falling down with a speed of 5.0 m/s. If the horizontal component of the earth’s magnetic field \( B = 0.3 \times 10^{-4} \, \text{Wb/m}^2 \) the emf developed between the ends of the wires is:

In a neon discharge tube, \( 2.9 \times 10^{18} \, \text{Ne}^{+} \) ions move to the right each second while \( 1.2 \times 10^{18} \) electrons move to the left per second, electrons charge is \( 1.6 \times 10^{-19} \, \text{C} \). The current in the discharge tube is:

For germanium crystal, the forbidden energy gap in joules is:

Water is falling on the blades of a turbine at a rate of 100 kg/s. If the height of the fall is 100 m, the power transferred to the turbine will be approximately:

A metre scale is standing vertically on the earth’s surface on one of its end. It now falls on earth without slipping. Find the velocity with which the free end of the scale strikes the earth. (\( g = 10 \, \text{m/s}^2 \))

An electron is accelerated through a potential difference of 200 V. If \( e/m \) for the electron is \( 1.6 \times 10^{11} \, \text{C/kg} \), the velocity acquired by the electron will be:

A 10 \(\mu\)F capacitor is charged to a potential difference of 50 V and is connected to another uncharged capacitor in parallel. Now the common potential difference becomes 20 V. The capacitance of second capacitor is:

In a step-up transformer the turn ratio is 1:2. A Leclanché cell (emf 1.5 V) is connected across the primary. The voltage across the secondary is:

How much energy will be necessary for making a body of 500 kg escape from the Earth? (\( g = 9.8 \, \text{m/s}^2 \), radius of the Earth \( = 6.4 \times 10^6 \, \text{m} \))