List of top Questions asked in MHT CET

Two spheres are given with radius \( r = 10 \, \text{cm} \), and the distance between them is \( 20 \, \text{cm} \). The axis passes through the midpoint of the distance between the two spheres. What is the moment of inertia of the system?

What is the safety speed for a vehicle moving along a curved horizontal banked road?

If \( L \) is the inductance and \( R \) is the resistance, then the unit of \( \frac{L}{R} \) is:

The maximum kinetic energy of the photoelectrons varies.

Find the expected value and variance of \( X \) for the following p.m.f: \[ \begin{array}{|c|c|c|c|c|c|} \hline x & -2 & -1 & 0 & 1 & 2 \\ \hline P(X) & 0.2 & 0.3 & 0.1 & 0.15 & 0.25 \\ \hline \end{array} \]

Butter is an example of which type of colloid?

Which of the following techniques is most suitable for determining the size and morphology of nanoparticles?

What is the equivalent logic gate when the output of an AND gate is passed through a NOT gate?

The angle between the lines, whose direction cosines \( l, m, n \) satisfy the equations: \[ l + m + n = 0 \quad \text{and} \quad 2l^2 + 2m^2 - n^2 = 0, \] is:

If \( A = \begin{bmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1 \end{bmatrix} \), then \( A^{-1} \) is:

If \( B = \begin{bmatrix} 3 & a & -1 \\ 1 & 3 & 1 \\ -1 & 1 & 3 \end{bmatrix} \) is the adjoint of a \( 3 \times 3 \) matrix \( A \) and \( |A| = 4 \), then \( a \) is equal to:

Using the rules in logic, write the negation of the following: \[ (p q) \land (q \lor \sim r) \]