List of top Questions asked in MHT CET- 2020

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

A metal rod of Young’s modulus $Y$ and coefficient of linear expansion $\alpha$ has its temperature raised by $\Delta \theta$. The linear stress to prevent the expansion of rod is ($L$ and $\ell$ are original length of rod and expansion respectively)

A wire of magnetic material of length \( 2L \) and magnetic moment \( M \) is bent at the centre to form 'L' shaped wire. Its magnetic moment is

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

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?

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

In a semiconductor, the number of holes and number of free electrons are represented as \( n_h \) and \( n_e \), respectively. Which one of the following statements is TRUE for the semiconductor?

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

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}

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 \]

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

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

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

A bullet of mass $20\,\text{g}$ moving with a velocity of $200\,\text{m/s}$ strikes a target and is brought to rest in $\left(\dfrac{1}{50}\right)^{\text{th}}$ of a second. The impulse and average force of impact are respectively

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

How many hydroxy groups are present in hydroxyquinol?

Moment of inertia of a solid sphere about its diameter is $I$. It is then cast into $27$ small spheres of same diameter. The moment of inertia of each new sphere is

A circular coil of radius \( R \) is carrying a current \( I_1 \) in anticlockwise sense. A long straight wire is carrying current \( I_2 \) in the negative direction of x-axis. Both are placed in the same plane and the distance between the centre of coil and straight wire is \( d \). The magnetic field at the centre of coil will be zero for the value of \( d \) equal to

Which among the following carbocation is most reactive?

One mole of a diatomic gas does a work $\frac{Q{3}$, when the amount of heat supplied is $Q$. In this process, the molar heat capacity of the gas is}

The area bounded by the parabola \( y^2 = 16x \) and its latus-rectum in the first quadrant is

A potentiometer wire is 4 m long and potential difference of 3 V is maintained between the ends. The e.m.f. of the cell which balances against a length of 100 cm of the potentiometer wire is

If the lines given by \( \vec{r} = 2\hat{i} + \lambda(\hat{i} + 2\hat{j} + m\hat{k}) \) and \( \vec{r} = \hat{i} + \mu(2\hat{i} + \hat{j} + 6\hat{k}) \) are perpendicular, then the value of \( m \) is

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