List of top Questions asked in MHT CET

A force of \( 100 \, \text{N} \) is applied to an object at an angle of \( 30^\circ \) to the horizontal. What is the work done by the force in moving the object a distance of \( 5 \, \text{m} \)?
Solve for $ x $ in the equation $ 2x - 3 = 5x + 12 $.
What is the molar mass of a gas, if 2.5 g of the gas occupies 1.12 L at STP?
What is the mass of 0.5 moles of water (H$_2$O)?
Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).
Find the value of \( \frac{5}{6} + \frac{3}{4} \).
How many grams of NaOH are required to neutralize 25 mL of 0.1 M HCl solution?
A ball is thrown vertically upwards with an initial velocity of $ 20 \, \text{m/s} $. How high will the ball rise? (Take $ g = 10 \, \text{m/s}^2 $)
What is the kinetic energy of a body of mass $ 2 \, \text{kg} $ moving with a velocity of $ 5 \, \text{m/s} $?
A capacitor has a capacitance of $ 5 \, \mu\text{F} $ and a potential difference of $ 10 \, \text{V} $ is applied across it. What is the charge on the capacitor?
A car accelerates uniformly from rest to a velocity of \( 25 \, \text{m/s} \) in \( 10 \, \text{seconds} \). What is the acceleration of the car?
A thin spherical shell of radius \( 0.5 \, \text{m} \) and mass \( 2 \, \text{kg} \) is rotating about its axis of symmetry with an angular velocity of \( 10 \, \text{rad/s} \). What is its moment of inertia?
A particle is moving with a constant velocity of \( 5 \, \text{m/s} \) in a circular path of radius \( 2 \, \text{m} \). What is the centripetal acceleration of the particle?
A 0.5 m long solenoid has 400 turns and carries a current of \( 3 \, \text{A} \). What is the magnetic field at the center of the solenoid?
A photon has an energy of \( 3.2 \times 10^{-19} \, \text{J} \). What is the frequency of the photon?
What is the total number of orbitals in the third energy level (n = 3)?

What is the empirical formula of a compound containing 40% sulfur and 60% oxygen by mass?

Find the solution $ \frac{d^2y}{dm^2} - k^3 \frac{dy}{dm} = y \cos m, \quad y(0) = 1 $
Evaluate the integral: \[ \int \sqrt{x^2 + 3x} \, dx \]
A body of mass 2 kg is moving in a circular path of radius 3 m with a constant speed of 6 m/s. What is the centripetal force acting on the body?
A 0.5 m long solenoid has 100 turns and carries a current of 3A. What is the magnetic field at the center of the solenoid?
A coil of 100 turns, carrying a current of 5A, is placed in a magnetic field of 2T. The area of each turn is 0.01 m\(^2\). What is the magnetic moment of the coil?
If \( \mathbf{a} \) and \( \mathbf{b} \) are two non-zero vectors such that the angle between them is \( 60^\circ \), what is the probability that the dot product \( \mathbf{a} \cdot \mathbf{b} \) is positive?
Find the value of \( x \) if \( \sin(2x) = 1 \).
Find the sum of the first 20 terms of the arithmetic progression: \( 2, 5, 8, 11, \dots \).