List of top Questions asked in MHT CET

If the ratio of amplitudes of two sound waves is \(4:3\), then the ratio of maximum and minimum intensities is

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}

The letters of the word 'LOGARITHM' are arranged at random. The probability that the arrangement starts with a vowel and ends with a consonant is

The angle made by a vector \( \vec{B} = 3\hat{i} + 2\hat{j} + 4\hat{k} \) with the y-axis is

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

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

If rectangles are inscribed in a circle of radius \( r \) units, then the dimensions of the rectangle which has maximum area are

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

With usual notations in \( \triangle ABC \), \(a = 3\), \(c = 2\) and \(\sin C = \dfrac{2}{3}\), then \(\angle A =\)

If \( f(x) = \sin^{-1} \left( \sqrt{\frac{1 - x}{2}} \right) \), then \[ f'(x) = \]

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\(^{-1}\).

Which of the following amine is most basic in nature?

How many atoms of argon are present in 3.99 g of it? (atomic mass = 39.9)

Which of the following molecule has zero bond order?

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

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?

A particle executes linear S.H.M. with amplitude 4 cm. The magnitudes of velocity and acceleration are equal when it is 3 cm from the mean position. The time period of motion is

A block of mass \( m \) attached to one end of the vertical spring produces extension \( x \). If the block is pulled and released, the periodic time of oscillation is

What will be the concentration of NaCl solution, if the molar conductivity and conductivity of NaCl solution are 124.3 \(\Omega^{-1}\)cm\(^2\)mol\(^{-1}\) and 1.243 × 10\(^-4\) \(\Omega^{-1}\)cm\(^1\) respectively?

Which of the following is NOT found in hybridization?

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

When a ray of light is refracted from one medium to another, then the wavelength changes from 6000 Å to 4000 Å. The critical angle for the interface will be:

On mixing a highly soluble impurity in water, the surface tension \(T\) and angle of contact \(\theta\)