List of top Questions asked in MHT CET

A system absorbs 50 J of heat and does 10 J of work. What is the change in internal energy (\(\Delta U\)) of the system?

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?

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:

Which of the following correctly represents the bond angle and bond length in the crown-shaped \( S_8 \) molecule?

What is the major organic product obtained when phenol undergoes the Reimer-Tiemann reaction?

What is the major product when toluene reacts with concentrated sulfuric acid (H\(_2\)SO\(_4\)) under heating conditions?

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 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:

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.

All alkali metals are good dash agents?

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?

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 $\overrightarrow{r}\cdot (m\hat{i}+3\hat{j}+\hat{k})=4$ ?

When the temperature exceeds the transition temperature, a ferromagnetic material becomes similar to:

The bulk movement of substances through the conducting or vascular tissues of plants is called:

Convention on Biodiversity came into force on:

The unit cell length of sodium chloride crystal is 564 pm. Its density would be:

In RNA, thymine is replaced by__________.

Electrolysis of dilute aqueous $NaCl$ solution was carried out by passing $10$ milli ampere current. The time required to liberate $0.01$ mol of $H_2$ gas at the cathode is: ($1$ Faraday $=96500Cmo{l}^{-1}$)

Suppose $\sin 2\theta =\cos 3\theta$, here $0<\theta <\frac{\pi }{2}$ then what is the value of $\cos 2\theta ?$