List of top Questions asked in MHT CET- 2026

In the given circuit, if \(dI/dt = -1 \text{A/s}\) then the value of \(V_{AB}\) at this instant will be

A circular coil of radius 'r' is placed on another circular coil whose radius is 'R' and the current flowing through it is changing and their centers coincide. (\(R≫r\)). If both the coils are coplanar, then the mutual inductance between them is proportional to

An inductor of inductance \(2 μ\text{H}\) is connected in series with a resistance, a variable capacitor and an a.c. source of 10 kHz. The value of capacitance for which maximum current is drawn in to the circuit is \(\frac{1}{x} \text{F}\), where the value of x is (Take \(π^2 = 10\))

Series LCR circuit containing an a.c. source of 100V has a inductor and a capacitor of reactance \(24 \Omega\) and \(16 \Omega\) respectively. If a resistance of \(6 \Omega\) is connected in series, then the potential difference across the series combination of inductor and capacitor only is

A circular loop of radius R is carrying current I. The ratio of magnetic field at the center of circular loop and at a distance R from the center of the loop on its axis is

If the potential difference between points B and D is zero in the given circuit, the value of x is \(\frac{1}{n} \Omega\). The value n is

The magnitude of magnetic induction at mid point 'O' due to current arrangement as shown in figure will be (\(μ_0\) = permeability of free space)

The magnetic field intensity (H) at the centre of a long solenoid having 'n' turns per unit length and carrying a current I, when no material is kept in it is (\(μ_0\) = permeability of free space)

A galvanometer has resistance G and range Vg. How much resistance is required to read voltage up to V volt?

Two charges \(q_1\) and \(q_2\) are separated by a distance of 30cm. A third charge \(q_3\) initially at point C is shown in figure, is moved along the circular path of radius 40 cm from C to D. If the difference in potential energy due to movement of \(q_3\) from C to D is \(q_3k/4πε_0\), the value of K is (\(ε_0\) = permittivity of free space)

A capacitor has capacity C when it's parallel plates are separated by air medium of thickness 'd'. A slab of material of dielectric constant K having area equal to that of plates but thickness \(\frac{d}{2}\) is inserted between the plates. Capacitance of the capacitor in the presence of slab will be

Two waves \(Y_1 = 0.25sin316t\) and \(Y_2 = 0.25sin310t\) are propagating along the same direction. The number of beats produced per second are

A person observes two moving trains. 'A' reaching the station and 'B' leaving the station with equal speed of 30m/s. If both trains emit sounds with frequency 300 Hz, (speed of sound = 330 m/s) difference of frequencies heard by the person will be

An electric dipole of length \(0.5 μ\text{m}\) is placed with its axis making an angle of \(30^{\circ}\) with uniform electric field \(10^4 \text{V/m}\). If it experiences a torque of \(5\times 10^{-9} \text{Nm}\), the magnitude of the charge on the dipole is (\(sin30^{\circ} = 0.5\))

Two spherical hollow spheres of radii '\(R_1\)' and '\(R_2\)' are charged with same charge. Let '\(σ_1\)' and '\(σ_2\)' are their respective charge densities, then the ratio \(σ_1\) to \(σ_2\) is

When open pipe is closed from one end then third overtone of closed pipe is higher in frequency by 150Hz than second overtone of open pipe. The fundamental frequency of open end pipe will be (Neglect end correction)

A mass \(m_1\) performs S.H.M. with amplitude A which is connected to horizontal spring. While mass \(m_1\) passing through mean position, another mass \(m_2\) (\(m_2 < m_1\)) is placed on it so that both masses move together with amplitude \(A_1\). The ratio of \(A/A_1\) is

If a gas is compressed isothermally then the r.m.s. velocity of the molecules

The time taken by simple pendulum for one oscillation is T on earth's surface. Its time period becomes xT when taken to a height R (equal to earth's radius) above the earth's surface. The value of x is

An air column in a pipe which is closed at one end will be in resonance with a vibrating tuning fork of frequency 415 Hz for various vibrating air columns. Which one of the following lengths is not in resonance ? (velocity of sound in air = 332 m/s) (Neglect end correction)

The maximum potential energy of a block executing S.H.M. is E and amplitude of oscillation is 'A'. The kinetic energy of the block at amplitude A/2 is

A rigid diatomic gas having molar mass m is contained in an insulated container. The container is moving with velocity V. If it is stopped suddenly, the change in temperature is (R - gas constant)

A bowl filled with very hot water cools from \(98^{\circ}\text{C}\) to \(86^{\circ}\text{C}\) in 2 minutes when the room temperature is \(22^{\circ}\text{C}\). How long it will take to cool from \(75^{\circ}\text{C}\) to \(69^{\circ}\text{C}\) ?

A Carnot engine with efficiency 50% takes heat from a source at 600 K. To increase the efficiency by 20%, keeping temperature of the sink same, the new temperature of the source will be

One gram of a liquid is converted to vapour at \(3\times 10^5\) Pa pressure. If 10% of the heat supplied is used for increasing the volume by \(1600 \text{cm}^3\) during this phase change, then the increase in internal energy in the process will be