List of top Questions asked in MHT CET- 2020

The rate constant for the first order reaction is \(1.15 \times 10^{-3} \, \text{s}^{-1}\). How long will 5 g of the reactant take to reduce to 3 g?

Which among the following compounds has the highest boiling point?

Identify compound ‘B’ in following series of reactions?

Which among the following compounds contains phantom atom?

Which of the following is NOT an antiseptic?

If \( f(x) = \frac{2x + 3}{3x - 2}, \, x \neq \frac{2}{3}, \) then the function \( f \circ f \) is

Using Bohr’s quantization condition, what is the rotational energy in the second orbit for a diatomic molecule? (I = moment of inertia of diatomic molecule, \( h \) = Planck’s constant)

The ratio of energy required to raise a satellite of mass \( m \) to a height \( h \) above the earth's surface to that required to put it into the orbit at same height is

Which of the following is used as an antiseptic in soap?

The reaction \( 2R - Cl + CoF_2 \rightarrow 2R - F + CoCl_2 \) is an example of .......

The rate of decay of mass of a certain substance at time \( t \) is proportional to the mass at that instant. The time during which the original mass of \( m_0 \) gram will be left to \( m_1 \) gram is
\[ k \text{ is constant of proportionality} \]

Identify the product A in the following reaction.
\[ (CH_3)_3C{-}OH \xrightarrow[\;573\ \text{K}\;]{Cu} A \]

The function \( f(x) = \log x - \frac{2x}{x+2} \) is increasing for all:

If the plane \[ 2x + 3y + 5z = 1 \] intersects the coordinate axes at the points A, B, C, then the centroid of \( \triangle ABC \) is

If \( f(x) = [x]^2 - 5[x] + 6 = 0 \), where \( [x] \) denotes the greatest integer function, then \( x \in \)

The displacement of a particle at the time \( t \) is given by \[ s = \sqrt{1 + t}, \quad \text{then its acceleration } a \text{ is proportional to} \]

A light wave of wavelength \( \lambda \) is incident on a slit of width \( d \). The resulting diffraction pattern is observed on a screen at a distance \( D \). If linear width of the principal maxima is equal to the width of the slit, then the distance \( D \) is

Which metal from the following has the highest tendency to undergo oxidation?

Which among the following statements is true for amylose?

Which one of the following statements is NOT the property of light?

The foot of the perpendicular drawn from the origin to the plane \( x + y + 3z - 4 = 0 \) is

If \[ x = \log t, \quad y + 1 = \frac{1}{t}, \] then \[ e^{-x} \frac{d^2 x}{dy^2} + \frac{dx}{dy} = \]

If the radius of a circle \( x^2 + y^2 - 4x + 6y - k = 0 \) is 5, then \( k = \)

The joint equation of the lines through the origin trisecting angles in the first and third quadrant is

Binding energy of a revolving satellite at height \(h\) is \(3.5\times10^8\,\text{J}\). Its potential energy is