List of top Questions asked in MHT CET

A circuit has self-inductance 'L' H and carries a current 'I' A. To prevent sparking when the circuit is switched off, a capacitor which can withstand 'V' volt is used. The least capacitance of the capacitor connected across the switch must be equal to
A straight wire of diameter $0.4 \text{ mm}$ carrying a current of $2 \text{ A}$ is replaced by another wire of $0.8 \text{ mm}$ diameter carrying the same current. The magnetic field at distance (R) from both the wires is '$B_1$' and '$B_2$' respectively. The relation between $B_1$ and $B_2$ is
A body of mass 'M' and radius 'R', situated on the surface of the earth becomes weightless at its equator when the rotational kinetic energy of the earth reaches a critical value 'K'. The value of 'K' is given by [Assume the earth as a solid sphere, g = gravitational acceleration on the earth's surface]
Water rises upto a height of $4 \text{ cm}$ in a capillary tube. The lower end of the capillary tube is at a depth of $8 \text{ cm}$ below the water level. The mouth pressure required to blow an air bubble at the lower end of the capillary will be 'X' cm of water, where X is equal to
In the given circuit, the current in $8 \; \Omega$ resistance is $1.5\text{ A}$. The total current ($I$) flowing in the circuit is
'Circle of least confusion' refers to which one of the following defects occurring in images formed by mirrors or lenses?
A plano-convex lens of refractive index $\mu_1$ fits exactly into a plano-concave lens of refractive index $\mu_2$. Their plane surfaces are parallel to each other. 'R' is the radius of curvature of the curved surface of the lenses. The focal length of the combination is
A cylindrical rod has temperatures '$T_1$' and '$T_2$' at its ends. The rate of flow of heat is '$Q_1$' $\text{cal s}^{-1}$. If length and radius of the rod are doubled keeping temperature constant, then the rate of flow of heat '$Q_2$' will be
Energy of electron in the second orbit of hydrogen atom is $E$. The energy of electron '$E_3$' in the third orbit of helium ($\text{He}^+$) atom will be
An ice cube of edge $1 \text{ cm}$ melts in a gravity free container. The approximate surface area of water formed is (water is in the form of a spherical drop)
The charge on each capacitor when a voltage source of $15 \text{ V}$ is connected in the circuit as shown, is
According to de-Broglie hypothesis if an electron of mass '$m$' is accelerated by potential difference '$V$', the associated wavelength is '$\lambda$'. When a proton of mass '$M$' is accelerated through potential difference $9V$, then the wavelength associated with it is
Two sound waves having wavelengths $5.0 \text{ m}$ and $5.5 \text{ m}$ propagate in a gas with velocity $300 \text{ m/s}$. The number of beats produced per second is
In biprism experiment, $6^{\text{th}}$ bright band with wavelength '$\lambda_1$' coincides with $7^{\text{th}}$ dark band with wavelength '$\lambda_2$', then the ratio $\lambda_1 : \lambda_2$ is (other setting remains the same)
The time period of a satellite of earth is $5\text{ hours}$. If the separation between the earth and the satellite is increased to four times the previous value, the new time period of the satellite will be
What is the effect of pressure on the speed of sound in a medium, if pressure is doubled at constant temperature?
Equal volumes of two gases, having their densities in the ratio of $1 : 16$ exert equal pressures on the walls of two containers. The ratio of their rms speeds ($C_1 : C_2$) is
The rms speed of a gas molecule is 'V' at pressure 'P'. If the pressure is increased by two times, then the rms speed of the gas molecule at the same temperature will be
A long solenoid carrying current $I_1$ produces magnetic field $B_1$ along its axis. If the current is reduced to $20\%$ and number of turns per cm are increased five times then new magnetic field $B_2$ is equal to
A body executes SHM under the action of force '$F_1$' with time period '$T_1$'. If the force is changed to '$F_2$', it executes SHM with period '$T_2$'. If both the forces '$F_1$' and '$F_2$' act simultaneously in the same direction on the body, its time period is
The self inductance of a solenoid of length $31.4 \text{ cm}$, area of cross section $10^{-3} \text{ m}^2$ having total number of turns $500$ will be nearly [$\mu_0 = 4\pi \times 10^{-7}$ SI unit]
A conducting loop of resistance 'R' is moved in a magnetic field, the total induced charge depends upon
To determine the internal resistance of a cell by using a potentiometer, the null point is at $1 \text{ m}$ when shunted by $3 \; \Omega$ resistance and at a length $1.5 \text{ m}$, when cell is shunted by $6 \; \Omega$ resistance. The internal resistance of the cell is
In Young's double slit experiment, the intensity at a point where path difference is $\frac{\lambda}{6}$ ($\lambda$ being the wavelength of light used) is $I'$. If '$I_0$' denotes the maximum intensity, then $\frac{I'}{I_0}$ is equal to ($\cos 0^\circ = 1, \cos 60^\circ = \frac{1}{2}$)
In Young's double slit experiment, the distance of $n^{\text{th}}$ dark band from the central bright band in terms of bandwidth $\beta$ is