List of top Questions asked in MHT CET

The electric field intensity on the surface of a solid charged sphere of radius 'r' and volume charge density '$\rho$' is ($\epsilon_0 =$ permittivity of free space)
The potential energy of a molecule on the surface of a liquid compared to the molecules inside the liquid is
The de-Broglie wavelength ($\lambda$) of a particle is related to its kinetic energy ($E$) as
A progressive wave is given by $Y = 12 \sin(5t - 4x)$. On this wave, how far apart are two points having a phase difference of $90^\circ$?
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 wire of length 3 m connected in the left gap of a meter-bridge balances 8$\Omega$ resistance in the right gap at a point, which divides the bridge wire in the ratio 3: 2. The length of the wire corresponding to resistance of 1$\Omega$ is
On a dry road, the maximum speed of a vehicle along a circular path is $V$. When the road becomes wet, the maximum speed becomes $\frac{V}{2}$. If the coefficient of friction of the dry road is $\mu$, then that of the wet road 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
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
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.
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
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?