List of top Questions asked in MHT CET

A transformer is used to light a 100W and 110V lamp from 220V mains. If the main current is 0.5 amp, the efficiency of the transformer is approximately:
Form the differential equation of y=ae3xcos⁡(x+b) Where y′=dydx and yn=d2ydx2?
Find the centre and radius of x2+y2+6y=0.
A body oscillates with simple harmonic motion with an amplitude of 2 cm and a period of 4 seconds. What is the maximum speed of the body?
A magnetic field of strength \( B = 2 \, \text{T} \) is applied perpendicular to a current-carrying conductor. If the current in the conductor is \( I = 3 \, \text{A} \) and the length of the conductor within the magnetic field is \( L = 1.5 \, \text{m} \), calculate the force acting on the conductor.

In a population of rabbits, the brown fur color (B) is dominant to the white fur color (b). If a heterozygous brown rabbit is crossed with a homozygous white rabbit, what is the probability of their offspring having brown fur?
What is the volume of 1.0 mol of an ideal gas at standard temperature and pressure (STP)? (STP is 0°C and 1.0 atm, and the ideal gas constant R = 0.0821 L·atm/mol·K)
What is the molar mass of a gas if 2.5 g of the gas occupies 1.0 L at 300 K and a pressure of 1.0 atm? (Use the ideal gas law, R = 0.0821 L·atm/mol·K)

What is the role of mitochondria in the cell, and how does their structure relate to their function?

In a plant cell, which organelle is primarily responsible for photosynthesis?

What is the role of the ribosomes in the cell?

What is the function of the Golgi apparatus in the cell?
What is the molarity of a solution prepared by dissolving \( 5.0 \, \text{g} \) of sodium chloride (\( \text{NaCl} \)) in \( 250 \, \text{mL} \) of water? (Molar mass of NaCl = \( 58.5 \, \text{g/mol} \))
What is the pH of a \( 0.01 \, \text{M} \) solution of hydrochloric acid (\( \text{HCl} \))?
What is the concentration of \( \text{NaOH} \) in a solution if \( 25.0 \, \text{mL} \) of \( 0.100 \, \text{M} \) \( \text{HCl} \) is neutralized by \( 50.0 \, \text{mL} \) of \( \text{NaOH} \)?
What is the molarity of a solution made by dissolving \( 2.5 \, \text{g} \) of potassium chloride (\( \text{KCl} \)) in \( 500 \, \text{mL} \) of water? (Molar mass of \( \text{KCl} = 74.5 \, \text{g/mol} \))
What is the entropy change when 1.0 kg of water at \( 100^\circ C \) is converted to steam at the same temperature? The latent heat of vaporization of water is \( 2.25 \times 10^6 \, \text{J/kg} \).
A current of \( 2.0 \, \text{A} \) is passed through a conductor for \( 10 \, \text{minutes} \). How much charge passes through the conductor?
What is the wavelength of a sound wave that has a frequency of \( 500 \, \text{Hz} \) and travels at a speed of \( 343 \, \text{m/s} \)?
A radioactive substance has a half-life of \( 10 \, \text{hours} \). If the initial amount of the substance is \( 200 \, \text{g} \), how much of the substance remains after \( 30 \, \text{hours} \)?
What is the pH of a solution with a hydrogen ion concentration of \( 3.0 \times 10^{-4} \, \text{mol/L} \)?
A 1.0 kg sample of water at \( 80^\circ C \) is placed in thermal contact with a 2.0 kg sample of water at \( 20^\circ C \). If the system is insulated, what will be the final equilibrium temperature of the system? Assume no heat loss to the surroundings, and the specific heat capacity of water is \( 4.18 \, \text{J/g}^\circ \text{C} \).
In an electromagnetic wave traveling in a vacuum, the electric field amplitude is \( 3.0 \times 10^3 \, \text{V/m} \). What is the magnetic field amplitude of the wave? Assume the speed of light in vacuum is \( c = 3.0 \times 10^8 \, \text{m/s} \).
A capacitor of capacitance \( 10 \, \mu\text{F} \) is charged to a potential difference of \( 100 \, \text{V} \). What is the energy stored in the capacitor?
A photon has an energy of \( 5.0 \, \text{eV} \). What is its wavelength? (Planck's constant \( h = 6.626 \times 10^{-34} \, \text{J} \cdot \text{s} \), speed of light \( c = 3.0 \times 10^8 \, \text{m/s} \))