List of top Questions asked in MHT CET

The value of \( \displaystyle \int_{0}^{\pi/2} \frac{\sin x}{\sin x + \cos x} \, dx \) is:

Determine the equivalent capacitance of an infinite circuit formed by repeating identical capacitors of capacitance \(C\).

Identify the product formed when phenol reacts with bromine water.

Identify the product formed when \( CH_3{-}CH_2{-}Br \) reacts with alcoholic \(KOH\).

What is the IUPAC name for the compound \( \text{CH}_3 - \text{CH(OH)} - \text{CH}_2 - \text{CHO} \)?

Which compound undergoes Cannizzaro reaction?

The capacitance of an infinite circuit formed by the repetition of the same link consisting of two identical capacitors, each with capacitance \(C\), as shown in the figure is:

A particle moves with a constant velocity of \(5\ \text{m/s}\) in a circular path of radius \(2\ \text{m}\); calculate its centripetal acceleration.

Calculate the equivalent capacitance of an infinite circuit formed by repeating identical capacitors of capacitance \(C\).

If the statement \( (p \land q) \rightarrow (r \lor \neg s) \) is False, find the truth values of \(p, q, r,\) and \(s\).

If \( y = \sin^{-1}\!\left(\dfrac{5x + 12\sqrt{1-x^2}}{13}\right) \), then \( \dfrac{dy}{dx} \) is equal to:

What product is formed when a ketone reacts with hydrazine (\( \text{NH}_2\text{NH}_2 \))?

Evaluate the definite integral: \( \displaystyle \int_{3}^{5} |x-4|\,dx \).

Define the coordination number and oxidation state of the central metal ion in \([Co(NH_3)_6]Cl_3\).

Determine the minimum speed at the topmost point of a vertical circle of radius \(L\) for the string to remain taut.

What is the time period of a simple pendulum of length \(1\ \text{m}\) if \(g = 9.8\ \text{m/s}^2\)?

A block of mass \(5\ \text{kg}\) is on a frictionless surface; find its acceleration when a force of \(10\ \text{N}\) is applied.

Find the value of \( k \) if the function \( f(x) = \dfrac{k\cos x}{\pi - 2x} \) is continuous at \( x = \dfrac{\pi}{2} \).

Predict the major product formed when an alkene reacts with a hydrogen halide (e.g., HCl or HBr).

Identify the strongest acid among: acetic acid, chloroacetic acid, dichloroacetic acid, and trichloroacetic acid.

Which of the following compounds will undergo a Cannizzaro reaction:
\( \text{CH}_3\text{CHO},\ \text{C}_6\text{H}_5\text{CHO},\ \text{CH}_3\text{COCH}_3 \)?

Find the ratio of the de Broglie wavelengths of an alpha particle and a proton accelerated through the same potential.

A wire of length \(L\) and resistance \(R\) is stretched to twice its length; what is the new resistance?

At what temperature will the r.m.s. velocity of a hydrogen molecule be equal to that of an oxygen molecule at \(47^\circ\text{C}\)?

Calculate the potential energy of a \(1.5\,\text{kg}\) block attached to a spring with \(k = 100\,\text{N/m}\) displaced by \(0.2\,\text{m}\).