List of top Questions asked in MHT CET

Which of the following combination of 7 identical capacitors each of $2\,\mu F$ gives a capacitance of $\frac{10}{11}\,\mu F$?
For a common emitter configuration, if '$\alpha$' and '$\beta$' have their usual meanings, the incorrect relation between '$\alpha$' and '$\beta$' is
By adding soluble impurity in a liquid, angle of contact
A simple pendulum of length 'l' and a bob of mass 'm' is executing S.H.M. of small amplitude 'A'. The maximum tension in the string will be ($g =$ acceleration due to gravity)
A particle moves around a circular path of radius 'r' with uniform speed 'V'. After moving half the circle, the average acceleration of the particle is
A string is stretched between two rigid supports separated by 75 cm. There are no resonant frequencies between 420 Hz and 315 Hz. The lowest resonant frequency for the string is
A straight wire carrying a current (I) is turned into a circular loop. If the magnitude of the magnetic moment associated with it is 'M', then the length of the wire will be
Frequency of the series liit of Balmer series of hydrogen atom in terms of Rydberg's constant (R) and velocity of light (c) is
A horizontal wire of mass 'm', length 'l' and resistance 'R' is sliding on the vertical rails on which uniform magnetic field 'B' is directed perpendicular. The terminal speed of the wire as it falls under the force of gravity is ($g =$ acceleration due to gravity)
The diffraction fringes obtained by a single slit are of
Calculate the half-life of a first order reaction if the rate constant of the reaction is $2.772 \times 10^{-3}\,\text{s}^{-1}$.
Which among the following is NOT colligative property?
A sphere and a cube, both of copper have equal volumes and are black. They are allowed to cool at same temperature and in same atmosphere. The ratio of their rate of loss of heat will be
An alternating voltage is applied to a series LCR circuit. If the current leads the voltage by $45^\circ$, then $(\tan 45^\circ = 1)$
Identify the product $B$ in the following reaction.
Toluene $\xrightarrow{\text{Chromyl chloride / CS}_2} A \xrightarrow{H_3O^+} B$
Identify the reaction in which carbonyl group of aldehydes and ketones is reduced to methylene group on treatment with hydrazine followed by heating with sodium hydroxide in ethylene glycol.
Which of the following catalyst is used in the decomposition of $\mathrm{KClO_3}$?
Identify non reducing sugar from following.
In which of the following carbohydrate, molecular mass increases by 84u after complete acetylation?
What total number of crystal systems associated with 14 Bravais lattices?
Which from following polymers is used to obtain plastic dinner ware?
Which element from following exhibits common oxidation state +2?
Find the rate law for the reaction, $\mathrm{CHCl_3(g) + Cl_2(g) \rightarrow CCl_4(g) + HCl(g)}$ if the order of reaction with respect to $\mathrm{CHCl_3}$ is one and $\frac{1}{2}$ with respect to $\mathrm{Cl_2}$.
The rate for the reaction $2A + B \rightarrow \text{product}$ is $6 \times 10^{-4}\,\mathrm{mol\,dm^{-3}\,s^{-1}}$. Calculate the rate constant if the reaction is first order in $A$ and zeroth order in $B$. Given $[A] = [B] = 0.3\,\text{M}$
Calculate the depression in freezing point of a solution when $4\,\text{g}$ non-volatile solute of molar mass $126\,\text{g mol}^{-1}$ is dissolved in $80\,\text{mL}$ water. $[K_f = 1.86\ \mathrm{K\,kg\,mol^{-1}}]$