List of top Questions asked in MHT CET

A pendulum having a negatively charged metal knob is oscillating on a positively charged surface. The time of the pendulum will be:
Which of the following does not obey the octet rule?
Two charges \( q_1 = 2 \, \mu \mathrm{C} \) and \( q_2 = -3 \, \mu \mathrm{C} \) are placed 10 cm apart in a vacuum. What is the magnitude and direction of the force between them?
The relationship between solubility of a gas in a liquid at constant temperature and external pressure is:
What is the angular frequency \( \omega \) of a simple harmonic oscillator with mass \( m \) and spring constant \( k \)?
Consider the following logic circuit. The circuit consists of three gates: an AND gate, an OR gate, and a NOT gate. The inputs to the AND gate are \( A = 1 \) and \( B = 0 \). The output of the AND gate is fed into the input of the OR gate, which has another input \( C = 1 \). The output of the OR gate is then passed through a NOT gate. What is the final output of the circuit?
The metal that cannot be obtained by electrolysis of an aqueous solution of its salts is:
A proton, an electron, and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as:
Convert 72 degrees Celsius to Fahrenheit.
What is the magnetic field produced inside a solenoid?
Correct Bernoulli’s equation is (symbols have their usual meaning):
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:
A cylinder of fixed capacity \( 67.2 \, \mathrm{L} \) contains helium gas at STP. The amount of heat needed to raise the temperature of the gas in the cylinder by \( 20^\circ \mathrm{C} \) 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 \( R = 8 \, \text{J/molK} \)): 

The electrostatic potential due to an electric dipole at a distance \( r \) varies as:
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 \( R = 6.4 \times 10^6 \, \text{m} \))
Which element shows the lower oxidation state in the 3d series?
The ratio of the shortest wavelength of the Balmer series to the shortest wavelength of the Paschen series is:
Which of the following is not a neutral ligand?

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{)} $

Which of the following is NOT a layer of the urinary bladder?
A solution is prepared by dissolving 10 g of a non-volatile solute in 100 g of water. The freezing point depression of the solution is observed to be 1.5°C. Calculate the cryoscopic constant of the solvent.
In a series LCR circuit connected to an AC source, at resonance, the current is maximum because:
Volume of a gas at NTP is \( 1.12 \times 10^{-7} \, \text{cm}^3 \). The number of molecules in it is:
Which of the following is Clemmensen reduction?