List of top Questions asked in MHT CET- 2026

The ratio of the accelerating potentials required to accelerate (i) an \(α\)-particle and (ii) a proton to have the same de Broglie wavelength associated with them is
(mass of \(α\) - particle = \(6.4\times 10^{-27}\) kg, mass of proton = \(1.6\times 10^{-27}\) kg)
In an a.c. circuit with pure capacitance 'C' and a.c. source \(E = E_0sinωt\), the equation of instantaneous current is given by
In LCR circuit, at a particular angular frequency the capacitive reactance and inductive reactance is same. If the angular frequency is doubled, the ratio of the reactance of the capacitor to that of the inductor will be
In a series LCR circuit alternating e.m.f. and current are given by the equations \(V = V_0sin(ωt)\) and \(I = I_0sin(ωt+\frac{π}{3})\) respectively. The average power dissipated in the circuit over one cycle of a.c. is \((cos60^{\circ} = 0.5)\)
Two coils having self-inductance \(L_1 = 75\) mH and \(L_2 = 48\) mH are coupled with each other. If the mutual inductance of the coils is 37.2 mH, then coefficient of coupling will be
A straight line conductor of length 0.4 m is moved with a speed of \(7.0\text{ ms}^{-1}\) perpendicular to magnetic field of intensity \(0.8\text{ Wb m}^{-2}\). The induced e.m.f. across the conductor is
Two planar concentric rings of metal wire having radii '\(r_1\)' and '\(r_2\)' (with \(r_1 > r_2\)) are placed in air. The current 'I' is flowing through the coil of larger radius. The mutual inductance between the coils is given by ( \(μ_0\) = permeability of free space)
If the equivalent capacitance between points A and B of the combination of capacitors shown in figure, is 6C, the capacitor \(C^1\) is
Two wires of same length are bent to form the circular loop with two turns and a square loop of one turn. Both of them carry same current. The ratio of magnetic moment of circular loop of two turns to that of square loop is
The magnetic field at a distance 'r' from a long straight wire carrying current I is 0.4 tesla. The magnetic field at a distance 2r will be
A current of 9A enters point P of an equilateral triangle PQR having three wires of \(3\Omega\) each and leaves by point R. The currents \(I_1\) and \(I_2\) are respectively
The current passing through the galvanometer is 4 % of the total current in the curcuit. If the resistance of the galvanometer is 'G', the shunt resistance 'S' connected across the galvanometer is
In the cyclotron, as radius of the circular path of the charged particle increases, (\(ω\) = angular velocity, V = linear velocity)
The beats are produced when there is a superposition of two sound waves which will have
Two sounding waves send waves at certain temperature in air of wavelength 50 cm and 50.5 cm repectively. The frequency of sources differ by 6 Hz. The velocity of sound in air at same temperature is
Two point charges +e and +4e are kept at a distance 'd' units apart. Third point charge +q is placed between the two charges at a distance 'x' units from charge +e so as to be in equilibrium. The value of 'x' is
In a pipe closed at one end, air column is vibrating in the fourth overtone so the vibrating air column has '\(x\)' nodes and '\(y\)' antinodes. The values of \(x\) and \(y\) are respectively
Two indentical metal plates are given charges \(q_1\) and \(q_2\) \((q_2 < q_1)\) respectively. They are brought close together to form a parallel plate capacitor with capacitance 'C'. The potential difference 'V' between the plates is
Three point charges +q, +2q and +Q are placed at the vertices of an equilateral triangle. If the potential energy of the system of three charges is zero, the value of Q in terms of q is
In a sonometer experiment, the fundamental frequency of vibration of wire is '\(n_1\)' when wire is stretched by hanging a metal bob. If the bob is completely immersed in water, the frequency of vibration of wire becomes '\(n_2\)'. The relative density of the metal of the bob is
A light spring is suspended with mass '\(m_1\)' at its lower end and its upper end is fixed to a rigid support. The mass is pulled down a short distance and then released. The period of oscillation is T second. When a mass '\(m_2\)' is added to '\(m_1\)' and the system is made to oscillate the period is found to be \(\frac{3}{2}\) T. The ratio \((\frac{m_1}{m_2})\) is
For a particle performing linear S.H.M. of amplitude 'r', the potential energy is '\(λ\)' times its total energy. The displacement of particle is
The displacement of a particle performing linear S.H.M. is given by \(y = Acos[π(t+φ)]\). If at \(t = 0\), the displacement is \(y = 2\) cm and velocity is \(2π\) cm/s, the value of amplitude A in cm is
The temperature at which r.m.s. velocity of hydrogen molecules is 4.5 times that of an oxygen molecule at \(47^{\circ}\) C is (molecular weight of hydrogen and oxygen are 2 and 32 respectively)
Two cylinders A and B fitted with pistons contain equal amount of an ideal diatomic gas at 303 K. The piston of cylinder A is free to move and that of cylinder B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder B is 63 K then the rise in temperature of the gas in A is