List of top Questions asked in MHT CET

At what temperature does the average translational kinetic energy of a molecule in a gas becomes equal to kinetic energy of an electron accelerated from rest through potential difference of $V$ volt? [$N$ = number of molecules, $R$ = gas constant, $e$ = electronic charge]
The temperature difference between two sides of an iron plate, $1.8\text{ cm}$ thick is $9^\circ\text{C}$. Heat is transmitted through the plate $10\text{ kcal/s}\cdot\text{m}^2$ at steady state. The thermal conductivity of iron is
Which graph shows the correct variation of r.m.s. current $I$ with frequency $f$ of a.c. in case of (LCR) parallel resonance circuit?
If the current of $I\text{ A}$ gives rise to a magnetic flux $\phi$ through a coil having $N$ turns, then magnetic energy stored in the medium surrounding the coil is
An ideal gas with pressure $P$, volume $V$ and temperature $T$ is expanded isothermally to a volume $2V$ and a final pressure $P_i$. The same gas is expanded adiabatically to a volume $2V$, the final pressure is $P_a$. In terms of the ratio of the two specific heats for the gas $\gamma$, the ratio $\frac{P_i}{P_a}$ is
A coil has an area $0.06\text{ m}^2$ and it has $600$ turns. After placing the coil in a magnetic field of strength $5 \times 10^{-5}\text{ Wb/m}^2$, it is rotated through $90^\circ$ in $0.2$ second. The magnitude of average e.m.f induced in the coil is [$\cos 0^\circ = \sin 90^\circ = 1$ and $\sin 0^\circ = \cos 90^\circ = 0$]
A body attached to one end of a string performs motion along a vertical circle. Its centripetal acceleration, when the string is horizontal, will be [$g$ = acceleration due to gravity]
Two identical capacitors have the same capacitance $C$. One of them is charged to potential $V_1$ and the other to $V_2$. The negative ends of the capacitors are connected together. When positive ends are also connected, the decrease in energy of the combined system is
Two long conductors, separated by a distance $d$ carry currents $I_1$ and $I_2$ in the same directions. They exert a force $F$ on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to $3d$. The new value of the force between them is
A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring balance reads $49\text{ N}$, when the lift is stationary. If the lift moves downward with an acceleration of $5\text{ m/s}^2$, the reading of the spring balance will be ($g = 9.8\text{ m/s}^2$)
A current $I$ is flowing in a conductor of length $L$. When it is bent in the form of a circular loop, its magnetic moment will be
In a potentiometer experiment, when three cells A, B and C are connected in series, the balancing length is found to be $420\text{ cm}$. If cells A and B are connected in series the balancing length is $220\text{ cm}$ and for cells B and C connected in series the balancing length is $320\text{ cm}$. The emf of cells A, B and C are respectively in the ratio of
The period of revolution of planet A around the sun is 8 times that of planet B. How many times the distance of A from the sun is greater than that of B from the sun?
When an air column in a pipe open at both ends vibrates such that four antinodes and three nodes are formed, then the corresponding mode of vibration is
In the circuit shown in the figure, a.c. source gives voltage $V = 20 \cos(2000t)$. Impedance and r.m.s. current respectively will be
In Young's double slit experiment, in an interference pattern, a minimum is observed exactly in front of one slit. The distance between the two coherent sources is $d$ and $D$ is the distance between the source and screen. The possible wavelengths used are inversely proportional to
A beam of light having wavelength $5400\text{ \AA}$ from a distant source falls on a single slit $0.96\text{ mm}$ wide and the resultant diffraction pattern is observed on a screen $2\text{ m}$ away. What is the distance between the first dark fringe on either side of the central bright fringe?
In the part of an a.c. circuit as shown, the resistance $R = 0.2\ \Omega$. At a certain instant $(V_A - V_B) = 0.5\text{ V}$, $I = 0.5\text{ A}$ and $\frac{\Delta I}{\Delta t} = 8\text{ A/s}$. The inductance of the coil is
Two identical ideal diodes are connected to an ammeter and a d.c source (1 volt) as shown. In which one of the following circuits, ammeter will not show any deflection?
In a photoelectric experiment, keeping the frequency of incident radiation and accelerating potential fixed, if the intensity of incident light is increased, then the
The ratio of maximum to minimum wavelength in Balmer series of hydrogen atom is
A current carrying loop is placed in a uniform magnetic field. The torque acting on the loop does not depend upon
For the output of the following logic circuit to be '1', the values of inputs A and B should be respectively
Let A, B and C be the three points in a uniform electric field $\vec{E}$ as shown. The electric potential is

Choose the correct answer from the options given below:
The work done in blowing a soap bubble of volume $V$ is $W$. The work required to blow a soap bubble of volume $2V$ is [$T$ = surface tension of soap solution]