List of top Questions asked in MHT CET

Which of the following electrolytic solutions of the same electrolyte has Maximum electrolytic conductivity at the same temp?

Which of the following mixtures of gases represent water gas?

Identify unit of rate constant for first order reaction from the following.

Which of the following is a correct set of four quantum numbers for 4d orbital?

The rate of reaction $A \rightarrow P$ is $1.25 \times 10^{-2}$ mol dm$^{-3}$ s$^{-1}$ when $[A] = 0.5$ M. Calculate the rate constant if the reaction is second order in A.

An infinite line charge of uniform linear charge density $\lambda$ is placed along the $z$-axis. The work done in moving a charge $q$ from $(a,\,0,\,0)$ to $(2a,\,0,\,0)$ is:

A parallel plate capacitor has capacitance $C$. If a dielectric slab of dielectric constant $K$ and thickness equal to half the plate separation is introduced parallel to the plates, the new capacitance is:

Unpolarized light of intensity $I_0$ is incident on two polaroids placed coaxially. The transmission axis of the second polaroid is at an angle of $60^\circ$ to the first. The intensity of emerging light is:

A train moving at 20 m/s approaches a stationary observer. The frequency of the whistle emitted by the train is 640 Hz. If the velocity of sound is 340 m/s, the apparent frequency heard by the observer is:

An open pipe resonates with a tuning fork of frequency 500 Hz. It is observed that two successive nodes are separated by 34 cm. The velocity of sound in air is:

What is the pH of a weak dibasic acid that is 2% dissociated in its M/100 solution at 298 K?

Calculate the pH of 0.01 M sulphuric acid.

Identify $\text{base}_2$ for the following equation according to Br\o{}nsted--Lowry theory: \[HCl_{(aq)} + H_2O_{(l)} \rightleftharpoons H_3O^+_{(aq)} + Cl^-_{(aq)}\]}

What is the pH of $2 \times 10^{-3}$ M solution of monoacidic weak base if it ionises to the extent of 5%?

Calculate the pH of 0.02 M monobasic acid having 2% dissociation.

The integral $\displaystyle\int \frac{1}{\sqrt[4]{(x-1)^3(x+2)^5}}\,dx$ is equal to: (where $C$ is a constant of integration)}

In a $\triangle ABC$, $a = 1$, $b = \sqrt{3}$ and $\angle C = \dfrac{\pi}{6}$. Then the measure of the third side $c =$}

If the area of triangle $ABC$ is $b^2 - (c-a)^2$, then $\tan B =$

In a triangle $\triangle ABC$, if $a$, $b$, and $c$ are in arithmetic progression, then $\cos A + 2\cos B + \cos C =$

If $I = \int \frac{\sin x + \sin^3 x}{\cos 2x}\,dx = P \cos x + Q \log \left| \frac{\sqrt{2}\cos x - 1}{\sqrt{2}\cos x + 1} \right| + C$, then the values of $P$ and $Q$ are respectively:

If the direction ratios of two lines are given by \[ l+m+n=0 \] \[ mn-2ln+lm=0 \] then the angle between the lines is

Let the function \[ f(x)=\frac{x-|x|}{x} \] Then

Gas is being pumped into a spherical balloon at the rate of \(30~ft^3/min\). Find the rate at which the radius increases when the radius becomes \(15~ft\).

Let \[ f(x)=\int \frac{x\sqrt{x}}{(1+x)^2}\,dx \qquad (x\ge0) \] Then $f(3)-f(1)$ is equal to:

Which from following compounds is NOT in gaseous phase at \(25^\circ C\)?