List of top Questions asked in MHT CET

Identify the reaction in which entropy change is positive ($\Delta S>0$).

Which of the following molecules contains maximum number of electrons in antibonding molecular orbitals?

If $\text{E}^\circ \left( \text{Fe}_{(\text{aq})}^{+2} \mid \text{Fe}_{(\text{s})} \right) = -0.44 \text{ V}$ and $\text{E}^\circ \left( \text{Sn}_{(\text{aq})}^{+2} \mid \text{Sn}_{(\text{s})} \right) = -0.14 \text{ V}$
What is standard emf of cell containing the two electrodes?

In a reaction,
$(\text{CH}_3)_2\text{CHMgBr} + \text{CO}_2 \xrightarrow[\text{ether}]{\text{dry}} \text{A} \xrightarrow[\text{dilHCl}]{\text{H.OH}} \text{B}$.
Find the product ' B ' of above reaction.

Which of the following has highest reactivity towards nucleophilic substitution reaction involving cleavage of C — Cl bond?

Identify conjugate acid-base pair from following equilibrium reaction.
$\text{HSO}_{3(\text{aq})}^- + \text{H}_3\text{O}_{(\text{aq})}^+ \rightleftharpoons \text{H}_2\text{SO}_3 + \text{H}_2\text{O}$

The lines $x + 2ay + \text{a} = 0, x + 3by + \text{b} = 0, x + 4cy + \text{c} = 0$ are concurrent then $a, b, c$ are in}

If the area of a parallelogram, whose diagonals are $\hat{i} - \hat{j} + 2\hat{k}$ and $2\hat{i} + 3\hat{j} + \alpha \hat{k}$ is $\dfrac{\sqrt{93}}{2}$ sq. units, then find $\alpha$.

The number of integral values of $p$ for which the vectors $(p + 1)\hat{i} - 3\hat{j} + p\hat{k},\; p\hat{i} + (p + 1)\hat{j} - 3\hat{k}$ and $-3\hat{i} + p\hat{j} + (p + 1)\hat{k}$ are linearly dependent, is ______.

The distance of the plane $\vec{r} = (\hat{i} - \hat{j}) + \lambda(\hat{i} + \hat{j} + \hat{k}) + \mu(\hat{i} - 2\hat{j} + 3\hat{k})$ from the origin is ______.

A solution is formed by mixing chloroform (CHCl3) and acetone (CH3COCH3).
Which of the following is true regarding the nature of this solution?

There are 6 boys and 4 girls. Arrange their seating arrangement on a round table such that 2 boys and 1 girl can't sit together.

The foci of the conic $ 25x^2 + 16y^2 - 150x = 175 $ are

Calculate the ionisation constant of 0.08 moldm$^{-3}$ of a monobasic acid having pH = 2.

Find the concentration of sodium acetate when added to 0.1 M solution of acetic acid to form a buffer solution of pH = 5.5 ? (pK$_a$ of CH$_3$COOH = 4.5)

Calculate the osmotic pressure of 0.2 M aqueous solution of electrolyte at 300 K. If van't Hoff factor is 1.6 [R = 0.0821 atm dm$^3$ K$^{-1}$ mol$^{-1}$].

Calculate the standard enthalpy change for synthesis of ammonia gas from following data. i. $ 2H_{2(g)} + N_{2(g)} \rightarrow N_{2}H_{4(g)} $; $ \Delta_{r}H^{\circ}_{1} = 95.4\text{ kJ} $ ii. $ N_{2}H_{4(g)} + H_{2(g)} \rightarrow 2NH_{3(g)} $; $ \Delta_{r}H^{\circ}_{2} = -187.6\text{ kJ} $}

A solution contains 10 g of NaOH dissolved in 500 mL of water. What is the molarity of the NaOH solution?

Given that: \[ \cot \left( \frac{A + B}{2} \right) \cdot \tan \left( \frac{A - B}{2} \right) \] and the equation involving coordinates: \[ \frac{x}{2} + \frac{y}{3} + \frac{2}{6} - 1 = 0 \] Find the area of $ \Delta ABC = 2 $.

The distance between two consecutive points with phase difference of $45^{\circ}$ in a wave of frequency $300 \text{ Hz}$ is $4.0 \text{ m}$. The velocity of the travelling wave is (in $ \text{km/s} $)

Two cells of e.m.f.s $E_1$ and $E_2$ ($E_1>E_2$) are connected as shown in figure. When the potentiometer is connected between A and B, the balancing length of the potentiometer wire is 3.60 m. On connecting the potentiometer between A and C, the balancing length is 0.90 m. The ratio $E_1/E_2$ is