List of top Questions asked in MHT CET- 2020

A stone is tied at the end of a rope of length 1 m and whirled in a vertical circle. The ratio of velocity at the highest point to the lowest point will be

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?

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

Which of the following is NOT found in hybridization?

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

When a beam of unpolarised monochromatic light is incident on a plane glass plate at a polarising angle, which one of the following statements is correct?

The sum of first four terms of a G.P. is $160$ and the common ratio is $3$, then the $4^{\text{th}}$ term 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

Which among the following reagents is used to obtain gluconic acid from glucose?

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

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

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

What is the molar conductivity at infinite dilution of \(\text{CaCl}_2\), if the molar conductivity of \(\text{Ca}^{2+}\) ion and \(\text{Cl}^-\) ion at infinite dilution is \(119\) and \(71~\Omega^{-1}\text{cm}^2\text{mol}^{-1}\) respectively?

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?

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

In conversion of moving coil galvanometer into an ammeter of required range, the resistance of ammeter so formed is

Two masses \( M_1 \) and \( M_2 \) are accelerated uniformly on a frictionless surface as shown in figure. The ratio of the tensions \( \left( \frac{T_1}{T_2} \right) \) is

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

A capacitor is charged by a battery and energy stored is $U$. Now the battery is removed and the distance between plates is increased to four times. The energy stored becomes

The work done in blowing a soap bubble of radius \(R\) is \(W_1\) at room temperature. Now, the soap solution is heated. From the heated solution another soap bubble of radius \(2R\) is blown and the work done is \(W_2\). Then

Sodium crystallizes in bcc structure with radius 1.86 \(\times\) 10\(^{-8}\) cm. What is the edge length of unit cell of sodium?

Which among the following vitamins belongs to aromatic series?

Identify the product C in the following reaction.
\[ \text{CH\(_3\)CH\(_2\)COOH} \xrightarrow{\text{NaOH}} A \xrightarrow{\text{CaO, }\Delta} B \xrightarrow{\text{HNO\(_3\)}} C \]