List of top Questions asked in MHT CET- 2020

The rate constant for first order reaction is 0.02232 min\(^{-1}\). Calculate the time required for 75% completion of the reaction.

The half life of a first order reaction is 6.0 hours. How long will it take for the concentration of reactant to decrease from 0.4 M to 0.12 M?

Reaction given below follows first order kinetics.
2N\(_2\)O\(_5\) \(\rightarrow\) 4NO\(_2\) + O\(_2\)
Calculate rate constant of reaction if concentration of N\(_2\)O\(_5\) is 0.05 M and rate of reaction is \(1.5 \times 10^{-6}\) mol L\(^{-1}\) s\(^{-1}\).

If \( \int x^x (1 + \log x) \, dx = k x^x + c \), then \( k = \)

Which of the following amine is most basic in nature?

The non-zero potential difference across diode \(D_1\) and that across diode \(D_2\) are equal in the circuit shown in the figure (both diodes are identical in characteristics)

If \( \tan \theta = \dfrac{1}{3} \), then find \( \cos 2\theta \).

Surface density of charge on a charged conducting sphere of radius \( R \) in terms of electric intensity \( E \) at a distance \( r \) in free space is
\textit{(where \( r>R, \, \epsilon_0 \) is permittivity of free space)}

If \( f(x) = \frac{x^2 + 2{18} \), for \( -2<x<4 \), and 0 otherwise, is the p.d.f. of a random variable \( X \), then the value of \( P(|X|<2) \) is}

If the angle between the lines whose direction ratios are \( 4, -3, 5 \) and \( 3, 4, k \) is \( \frac{\pi}{3} \), then \( k = \)

If \(\sqrt{x} + \sqrt{y} = \sqrt{xy}\), then find \(\dfrac{dy}{dx}\).

If the kinetic energy of a particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is

Which of the following hydride is deficient in hydrogen?

How much energy is imparted to an electron so that its de-Broglie wavelength reduces from \( 10^{-10} \) m to \( 0.5 \times 10^{-10} \) m?

How many hydroxy groups are present in hydroxyquinol?

Two identical parallel plate air capacitors are connected in series to a battery of e.m.f. \( V \). If one of the capacitors is inserted in liquid of dielectric constant \( K \), then potential difference of the other capacitor will become

The increase in length of a wire on stretching is \(0.05%\). If its Poisson’s ratio is 0.4, then its diameter is reduced by

The derivative of \( f(\tan x) \) w.r.t. \( g(\sec x) \) at \( x = \frac{\pi}{4} \), where \( f'(1) = 2 \) and \( g'( \sqrt{2} ) = 4 \), is

With usual notations, in triangle ABC, \( a = \sqrt{3} + 1 \), \( b = \sqrt{3} - 1 \) and \( \angle C = 60^\circ \), then \( A - B = \)

Which among the following complexes carries no net charge?

One thousand small water drops of equal radii combine to form a big drop. The ratio of final surface energy to the total initial surface energy is

Evaluate $\displaystyle \int \frac{dx}{1+\sqrt{x}}$

Which among the following elements is obtained in pure form by liquation process of refining?

The differential equation of the family of curves \( y = e^{x} (A \cos x + B \sin x) \), where \( A \) and \( B \) are arbitrary constants, is

A torque of 50 Nm acts on a body for 8 seconds which is initially at rest. The change in its angular momentum is