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 \( \omega = 2 \, \text{rad/s} \)).
In $\triangle ABC$, $(b-c)^2 \cos^2 \frac{A}{2} + (b+c)^2 \sin^2 \frac{A}{2} =$
If $\frac{dy}{dx} = y + 5$ and $y(0) = 4$, then $y(\log 2)$ is equal to
Evaluate the definite integral: \( \displaystyle \int_{3}^{5} |x-4|\,dx \).
What is the number of unit particles present in a Body-Centered Cubic (BCC) unit cell?
What is the frequency of a wave with a speed of \(30\,m/s\) if the distance between 11 consecutive crests is \(1\,m\)?
Calculate the energy stored in a \(10\,\mu F\) capacitor charged to \(50\,V\).
Find the value of \(k\) if the function \(f(x) = \dfrac{k\sin x}{x}\) is continuous at \(x = 0\) and \(f(0)=3\).
Which of the following pairs contains only intensive properties?
The probability of a shooter hitting a target is \( \frac{3}{4} \). Find the probability of hitting the target exactly 4 times in 5 shots.
Find the work done by a gas that expands from \(0.2\,\text{dm}^3\) to \(0.8\,\text{dm}^3\) against a constant pressure of \(2\) bar.
Which of the following microbial sources is used for the production of antibiotic terramycin?
Filarial disease (filariasis) is transmitted by which of the following mosquitoes?
Determine the hybridization and geometry of carbon in ethyne \((C_2H_2)\).
The process during double fertilization in which non motile male gametes are carried through hollow pollen tube is called
If \(\cos 4x = \cos 3x\), find the general solution for \(x\).
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.
Which of the following serves as the monomer for the synthetic polymer Nylon 6?
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?
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?