List of top Questions asked in MHT CET

Two parallel plates with dielectric placed between the plates are as shown in figure. The resultant capacity of capacitor will be [$A = \text{area of plate}$, $t_1, t_2$ and $t_3$ are thickness of dielectric slabs, $k_1, k_2$ and $k_3$ are dielectric constants.]
A particle executing S.H.M. starts from the mean position. Its amplitude is $A$ and time period is $T$. At what displacement is its speed one-fourth of the maximum speed?
An electron is projected along the axis of a circular conductor carrying current $I$. The electron will experience
A thin ring of radius $R$ meter has charge $q$ coulomb uniformly spread on it. The ring rotates about its axis with a constant frequency of $f\ \text{rev s}^{-1}$. The magnetic induction at the center of the ring is
The temperature of a black body is increased by 50%, then the percentage increase in the rate of radiation by the body is approximated as
A charged spherical conductor has radius $r$. The potential difference between its surface and a point at a distance of $3r$ from its centre is $V$. The electric field intensity at a distance of $3r$ from its centre is
The fundamental frequency of an air column in pipe 'A' closed at one end coincides with the second overtone of pipe 'B' open at both ends. The ratio of the length of pipe 'A' to that of pipe 'B' is
Two rods of different metals have coefficients of linear expansion $\alpha_1$ and $\alpha_2$ respectively. Their respective lengths are $L_1$ and $L_2$. If at all temperatures $(L_2 - L_1)$ remains the same, the correct relation is
The energy of an electron in the excited hydrogen atom is $-3.4\ \text{eV}$. Then according to Bohr's theory, the angular momentum of the electron in that excited state is ($h$ = Planck's constant)
Which one of the following statements is wrong for an isobaric process?
Figure shows triangular lamina which can rotate about different axes. The moment of inertia is maximum about the axis
In common emitter amplifier, a change of 0.2 mA in the base current causes a change of 5 mA in the collector current. If input resistance is 2 k$\Omega$ and voltage gain is 75, the load resistance used in the circuit is
For a perfectly black body, coefficient of emission is
When wavelength of incident radiation on the metal surface is reduced from $\lambda_1$ to $\lambda_2$, the kinetic energy of emitted photoelectrons is tripled. The work function of metal [$h$ = Planck's constant, $c$ = velocity of light] is
A student is throwing balls vertically upwards such that he throws the $2^{\text{nd}}$ ball when the $1^{\text{st}}$ ball reaches maximum height. If he throws balls at an interval of 3 second, the maximum height of the balls is ($g = 10\ \text{ms}^{-2}$)
In the interference experiment using a biprism, the distance of the slits from the screen is increased by 25% and the separation between the slits is halved. If 'W' represents the original fringewidth, the new fringewidth is
What are the values of the currents flowing in each of the following diode circuits X and Y respectively? (Assume that the diodes are ideal)

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Two waves are represented by the equation, $y_1 = A \sin(\omega t + kx + 0.57)\ \text{m}$ and $y_2 = A \cos(\omega t + kx)\ \text{m}$, where $x$ is in metre and $t$ is in second. What is the phase difference between them?
Work done in increasing the size of a soap bubble from radius of 3 cm to 5 cm in millijoule is nearly (surface tension of soap solution = $0.03\ \text{Nm}^{-1}$)
An ideal gas at pressure 'p' is adiabatically compressed so that its density becomes twice that of the initial. If $\gamma = \frac{c_p}{c_v} = \frac{7}{5}$, then final pressure of the gas is
Eddy currents are produced when
Three solid spheres each of mass $M$ and radius $R$ are arranged as shown in the figure. The moment of inertia of the system about YY' will be
The resultant gate and its Boolean expression in the given circuit is

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In potentiometer experiment, cells of e.m.f. $E_1$ and $E_2$ are connected in series ($E_1 > E_2$) the balancing length is 64 cm of the wire. If the polarity of $E_2$ is reversed, the balancing length becomes 32 cm. The ratio $\frac{E_1}{E_2}$ is
In the Bohr model, an electron moves in a circular orbit around the nucleus. Considering an orbiting electron to be a circular current loop, the magnetic moment of the hydrogen atom, when the electron is in $n^{\text{th}}$ excited state, is ($e$ = electronic charge, $m_e$ = mass of the electron, $h$ = Planck's constant)