List of top Questions asked in MHT CET

A particle performs SHM with an amplitude of 5 cm. Find its acceleration when it is 3 cm from the mean position (assume \( \omega = 2 \, \text{rad/s} \)).
What is the primary site of sperm production?
Which reagent is used in the Stephen reaction to reduce nitriles to imines?
If the vectors \(2\hat{i}-\hat{j}+\hat{k}\), \(\hat{i}+2\hat{j}-3\hat{k}\) and \(3\hat{i}+a\hat{j}+5\hat{k}\) are coplanar, find the value of \(a\).
Two progressive waves \(Y_1 = \sin 2\pi \left(\frac{t}{0.4} - \frac{x}{4}\right)\) and \(Y_2 = \sin 2\pi \left(\frac{t}{0.4} + \frac{x}{4}\right)\) superpose to form a standing wave (\(x\) and \(y\) in SI units). Find the amplitude of the particle at \(x = 0.5\) m.
If $\frac{dy}{dx} = y + 5$ and $y(0) = 4$, then $y(\log 2)$ is equal to
Which of the following serves as the monomer for the synthetic polymer Nylon 6?
What is the frequency of a wave with a speed of \(30\,m/s\) if the distance between 11 consecutive crests is \(1\,m\)?
If the statement \( (p \land q) \rightarrow (r \lor \neg s) \) is False (F), what are the truth values of \(p, q, r,\) and \(s\) respectively?
Which of the following pairs contains only intensive properties?
Evaluate: \(\tan^{-1}(1) + \tan^{-1}(4) + \tan^{-1}(5) + \tan^{-1}\left(\frac{1}{4}\right) = \pi + \tan^{-1}\left(\frac{\alpha}{2}\right)\). Find the value of \(\alpha\).
To convert a galvanometer into a voltmeter, one must connect a:
A particle performs linear S.H.M. with potential energy \(U = 0.1\pi^2 x^2\). If the mass is \(20\,g\), what is its frequency?
Which transition element among the following shows the highest number of oxidation states?
Who coined the term “Root Pressure Theory”?
Where is angiotensinogen secreted from in the human body?
What are the monomers used to synthesize Bakelite?
What is the product formed when chlorobenzene undergoes nitration with concentrated $HNO_3$ and $H_2SO_4$?
Lucas reagent, used to distinguish between primary, secondary, and tertiary alcohols, is a mixture of:
The number of atoms per unit cell in a Body-Centered Cubic (BCC) structure is:
Which of the following is the monomer of the polymer Nylon 6?
The work done in rotating an electric dipole of dipole moment $p$ in a uniform electric field $E$ from $\theta = 0^\circ$ to $\theta = 180^\circ$ is:
If the temperature of the source in a Carnot engine is increased while the sink temperature remains constant, the efficiency will:
In a stationary wave, the distance between a node and the adjacent antinode is:
The moment of inertia of a uniform thin rod of mass $M$ and length $L$ about an axis passing through its center and perpendicular to its length is: