List of top Questions asked in MHT CET

Two vessels \( A \) and \( B \) are of the same size and are at the same temperature. Vessel \( A \) contains \( 1 \, \text{g} \) of hydrogen and vessel \( B \) contains \( 1 \, \text{g} \) of oxygen. \( P_A \) and \( P_B \) are the pressures of the gases in \( A \) and \( B \) respectively. Then \( \frac{P_A}{P_B} \) is:
"The height from Earth's surface at which acceleration due to gravity becomes \( g/4 \), where \( g \) is acceleration due to gravity on the surface of Earth and \( R \) is the radius of Earth?"
At which temperature will the r.m.s. velocity of a hydrogen molecule be equal to that of an oxygen molecule at \( 47^\circ \text{C} \)?
Which of the following is an emulsion?
The time period of SHM is \( 2 \, \mathrm{s} \) with mass \( m \). If an additional mass of \( 40 \, \mathrm{g} \) is added, the time period increases by \( 3 \, \mathrm{s} \). What is \( m \) (in grams)?
In \( \text{O}_2^- \), \( \text{O}_2 \), and \( \text{O}_2^{2-} \) molecular species, the total number of antibonding electrons respectively are:
The fundamental frequency of a closed organ pipe of length \( 20 \, \mathrm{cm} \) is equal to the second overtone of an organ pipe open at both ends. What is the length of the organ pipe open at both ends?
A mixture of one mole of monoatomic gas and one mole of diatomic gas (rigid) are kept at room temperature (\( 27^\circ \text{C} \)). The ratio of specific heat of gases at constant volume respectively is:
The ratio of the mass densities of nuclei of \( ^{40}\text{Ca} \) and \( ^{16}\text{O} \) is close to:
Boron has two isotopes with atomic masses 10 and 11. If its average atomic mass is 10.81, the abundance of the lighter isotope is:
Water is flowing through a horizontal pipe in streamline flow. At the narrowest part of the pipe:
The most reactive amine towards dilute hydrochloric acid is:
Which of the following is an example for chain-growth polymer?

The number of \(\pi\)-bonds present in benzoic acid is:

A particle is executing Simple Harmonic Motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be:
The potential energy of a particle performing linear S.H.M is \( 0.1 \pi^2 x^2 \) joules. If the mass of the particle is \( 20 \, \mathrm{g} \), find the frequency of S.H.M:
Tincture of iodine is the common name for:
If \( M \) is the mass of water that rises in a capillary tube of radius \( r \), then the mass of water which will rise in a capillary tube of radius \( 2r \) is:
The density of a face-centered cubic (FCC) crystal is:
\( \sigma \) is the uniform surface charge density of a thin spherical shell of radius \( R \). The electric field at any point on the surface of the spherical shell is:
Specific conductance of \( 0.1 \, \text{M} \, \text{HNO}_3 \) is \( 6.3 \times 10^{-2} \, \text{ohm}^{-1} \, \text{cm}^{-1} \). The molar conductance of the solution is:
If \( n \) is the number density and \( d \) is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e., mean free path) is represented by:
The rate constant for a first-order reaction whose half-life is 480 seconds is:
A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become:
Chlorobenzene reacts with Mg in dry ether to give a compound (\( A \)) which further reacts with ethanol to yield: