List of top Questions asked in MHT CET

In a Young's Double Slit Experiment, find the fringe width if the distance between slits is doubled and the screen distance is halved.

Determine the energy of a photon in eV if its wavelength is \( 4000\ \text{\AA} \).

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

A capillary tube of radius \( r \) is dipped in water; find the height \( h \) to which water rises if the surface tension is \( T \).

Calculate the moment of inertia of a uniform ring of mass \( M \) and radius \( R \) about a tangent in its own plane.

Identify the truth value of the statement pattern \( (p \land \sim q) \rightarrow r \).

Find the area of the region bounded by the parabola \( y^2 = 4ax \) and its latus rectum.

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

Predict the product when an alcohol reacts with sodium metal.

Which of the following is a disproportionation reaction: Clemmensen, Wolff–Kishner, or Cannizzaro?

Identify the specific reagent used in the Swarts reaction (e.g., \(AgF\) or \(SbF_3\)).

What is the oxidation state of oxygen in peroxides?

Find the acceleration of a \(2\) kg block acted upon by a net force of \(10\) N.

A car starts from rest and accelerates uniformly at \(3\ \text{m/s}^2\); determine its velocity after \(5\) seconds.

Find the ratio of fundamental frequencies \( f_1/f_2 \) for a pipe open at both ends when \( \frac{1}{3} \) of its length is later submerged in water.

Calculate the percentage increase in apparent frequency for an observer moving towards a stationary sound source with \( \frac{1}{5} \)th the velocity of sound.

If \(A, B, C\) are vertices of a triangle with position vectors \(\vec a, \vec b, \vec c\), find the position vector of the point \(D\) where the angle bisector from vertex \(A\) meets \(BC\).

Evaluate the integral: \[ \int \frac{x}{x+2}\, dx \]

For the curve \( y = 3x^3 - 3x^2 + 1 \) at \( x = 1 \), find the equation of the tangent.

Name the reagent used in the conversion of benzene to nitrobenzene.

Which of the following polymers is a copolymer: Buna-S, Polythene, or PVC?

Determine the ratio of the speed of sound in Oxygen to that in Hydrogen at the same temperature.

Find the equivalent resistance between two opposite corners of a cube made of wires, each having resistance \(R\).

Calculate the de-Broglie wavelength of an electron accelerated through a potential difference of \(100\text{ V}\).

If \( \vec{a} \) and \( \vec{b} \) are unit vectors and the angle between them is \(60^\circ\), find \( |\vec{a}-\vec{b}| \).