List of top Questions asked in MHT CET

What is the IUPAC name of the compound with the following structure: benzene attached to COOH, OH, and an ethyl group?

What is the IUPAC name of phenylmethane?

To double the pressure of an ideal gas, keeping volume and number of moles constant, the temperature should be:

An AC circuit has a resistance of 150 \(\Omega\), inductive reactance of 250 \(\Omega\), and capacitive reactance of 100 \(\Omega\). What is the phase difference between current and voltage?

What is the energy required to increase the radius of a soap bubble from \( R \) to \( 2R \) considering the surface tension \( T \)?

Two coherent waves are represented by \( y_1 = a_1 \cos \omega t \) and \( y_2 = a_2 \sin \omega t \), and they are superimposed on each other. The resulting intensity is proportional to:

For the reaction, ${CO}_{(g)}+{Cl}_{2(g)}\rightleftharpoons {COCl}_{2(g)}$, then $K_p/K_c$ is equal to:

How does the dynamic resistance of diode vary with temperature?

A wire of length 20 units is divided into two parts such that the product of one part and the cube of the other part is maximum. The product of these parts is:

A transformer is used to light a $100W$ and $110V$ lamp from $220V$ mains. If the main current is $0.5$ amp, the efficiency of the transformer is approximately:

Form the differential equation of $y=a{e}^{3x}\cos (x+b)$ Where $y^{\prime }=\frac{dy}{dx}$ and $y^n=\frac{d^{2}y}{d{x}^2}$?

Find the centre and radius of $x^2+y^2+6y=0$.

The value of \( \sin(\cot^{-1}(x)) \) is:

If \( y = 5\cos x - 3\sin x \), then \( \frac{d^2y}{dx^2} + y \) equals:

The integral of \( \sec^{2/3}x \csc^{4/3}x \, dx \) from \( \pi/6 \) to \( \pi/3 \) is equal to:

Who first identified the transforming principle ?

A hydrocarbon has molecular formula C2H6. Which of the class of hydrocarbons cannot have this formula?

It is known from past experience that in a certain plant there are on the average $4$ industrial accidents per month. Find the probability that there will be less than $4$ accidents in a given month. Given: $({\mathrm{e}}^{-4}=0.0183)$

If $1.202g{mL}^{-1}$ is the density of $20\mathrm{\%}$ aqueous KI, determine the molality of KI.

Value of $\cos (-{1230}^{\circ })\times \cot (-{315}^{\circ })$ is:

If $f(x)$ and $g(x)$ are two probability density functions,$f(x)=\{\begin{array}{cc}\frac{x}{a}+1& :-a\le x<0\\ -\frac{x}{a}+1& 0\le x\le a\\ 0& \text{ otherwise }\end{array}$$g(x)=\{\begin{array}{cc}-\frac{x}{a}& :-a\le x\le 0\\ \frac{x}{a}& :0\le x\le a\\ 0& :\text{ otherewise }\end{array}$Which one of the following statements is true?

All alkali metals are good dash agents?

Phenol is also known as __________.

Find the value of $m$ for which the line $\overrightarrow{r}=(\hat{i}+2\hat{k})+\lambda (2\hat{i}-m\hat{j}-3\hat{k})$ is parallel to the plane $\overrightarrow{r}\cdot (m\hat{i}+3\hat{j}+\hat{k})=4$ ?

There are $7$ Men and $6$ Women. In how many ways can we select $5$ members in which at least $3$ men should be there: