List of top Questions asked in MHT CET

What is the ratio of abundance of chlorine isotopes with atomic masses 35 and 37?

A thin circular disc of mass $ M $ and radius $ R $ is rotating in a horizontal plane about an axis passing through its center and perpendicular to its plane with angular velocity $ \omega $. If another disc of the same dimensions but of mass $ M/2 $ is placed gently on the first disc co-axially, then the new angular velocity of the system is:

Correct Bernoulli’s equation is (symbols have their usual meaning):

Two projectiles are projected at $ 30^\circ $ and $ 60^\circ $ with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is:

A real gas within a closed chamber at $ 27^\circ \text{C} $ undergoes the cyclic process as shown in the figure. The gas obeys the equation $ PV^3 = RT $ for the path A to B. The net work done in the complete cycle is (assuming $ R = 8 \, \text{J/molK} $):

Light emerges out of a convex lens when a source of light is kept at its focus. The shape of the wavefront of the light is:

A monkey of mass 50 kg climbs on a rope which can withstand the tension $ T = 350 \, \text{N} $. If the monkey initially climbs down with an acceleration of $ 4 \, \text{m/s}^2 $ and then climbs up with an acceleration of $ 5 \, \text{m/s}^2 $, choose the correct option ($ g = 10 \, \text{m/s}^2 $):

Figure shows a part of an electric circuit. The potentials at points $ a, b, \text{and} \, c $ are $ 30 \, \text{V}, 12 \, \text{V}, \, \text{and} \, 2 \, \text{V} $, respectively. The current through the $ 20 \, \Omega $ resistor will be:

A current of $ 200 \, \mu\text{A} $ deflects the coil of a moving coil galvanometer through $ 60^\circ $. The current to cause deflection through $ \frac{\pi}{10} \, \text{radian} $ is:

The value of acceleration due to gravity at Earth's surface is $ 9.8 \, \text{m/s}^2 $. The altitude above its surface at which the acceleration due to gravity decreases to $ 4.9 \, \text{m/s}^2 $ is close to: (Radius of Earth $ R = 6.4 \times 10^6 \, \text{m} $)

Relative permittivity and permeability of a material are $ \varepsilon_r $ and $ \mu_r $, respectively. Which of the following values of these quantities are allowed for a diamagnetic material?

The magnetic flux through a coil perpendicular to its plane is varying according to the relation $ \phi = 5t^3 + 4t^2 + 2t - 5 $. If the resistance of the coil is $ 5 \, \Omega $, then the induced current through the coil at $ t = 2 \, \text{sec} $ will be:

A solid metallic cube having total surface area $ 24 \, \text{m}^2 $ is uniformly heated. If its temperature is increased by $ 10^\circ \, \text{C} $, calculate the increase in volume of the cube.
$ \text{(Given: } \alpha = 5.0 \times 10^{-4} \, \text{C}^{-1} \text{)} $

Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon:

A proton, an electron, and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as:

A closed organ pipe (closed at one end) is excited to support the third overtone. It is found that air in the pipe has:

The electrostatic potential due to an electric dipole at a distance $ r $ varies as:

If the length of the body diagonal of a FCC unit cell is $ x \, \text{Å} $, the distance between two octahedral voids in the cell in $ \text{Å} $ is:

Ortho-sulphobenzimide is used as:

Volume of a gas at NTP is $ 1.12 \times 10^{-7} \, \text{cm}^3 $. The number of molecules in it is:

The wavelength of the radiation emitted, when a hydrogen atom electron falls from infinity to stationary state 1, would be: (Rydberg constant $ R = 1.097 \times 10^7 \, \text{m}^{-1} $)

In $ \text{NO}_3^- $ ion, the number of bond pairs and lone pairs of electrons on the nitrogen atom are:

In which of the compounds does 'manganese' exhibit the highest oxidation number?

Alkali metals are powerful reducing agents because:

Which one of the following is used as an eye lotion?