List of top Questions asked in MHT CET- 2026

The shortest wavelength in the Balmer series of hydrogen atom is equal to the shortest wavelength in the Brackett series of a hydrogen like atom of atomic number 'Z'. The value of 'Z' is
A photoelectric surface is illuminated successively by monochromatic light of wavelength \(λ\) and \((λ/3)\). If the maximum kinetic energy of the emitted photo electrons in the second case is \(4\) times that in the first case, the work function of the surface of the material is (\(h\) = Planck's constant, \(c\) = speed of light)
An alternating voltage \(e = 150\sqrt{2}sin100t\) volt is applied to a capacitor of capacity \(2 μ\text{F}\). The root mean square value of current in the circuit is
In an LCR circuit at resonance, the a.c. source current is
A) maximum in a series LCR circuit only.
B) maximum in a parallel LCR circuit only.
C) maximum in both series and parallel LCR circuits.
D) minimum in both series and parallel LCR circuits.
The correct answer is
For a series LCR circuit inductive reactance \(X_L\) is equal to resistance \(R\) and also equal to twice the capacitive reactance \(X_C\). The impedance of the circuit and the phase difference between voltage V and current i are respectively
A glass slab of thickness \(6.0\) cm is placed on the piece of paper on which an inkdot is marked. By how much distance would an inkdot appear to be raised? The velocity of light in glass is \(2\times 10^8\text{ ms}^{-1}\) and that in air is \(3\times 10^8\text{ ms}^{-1}\).
Magnetic flux linked with the coil in weber is given by the equation \(\Phi = 5t^2+6t+11\). The e.m.f. induced in the coil in the \(5^{\text{th}}\) second will be
In Young's double slit experiment, the wavelength of light used is \(λ\). The intensity on the screen at a point for path difference '\(λ\)' is 'X'. The intensity at the point for path difference \((\frac{λ}{6})\) is (\(cos180^{\circ} = -1\), \(cos30^{\circ} = \frac{\sqrt{3}}{2}\))
Two thin long parallel wires, \(W_1\) and \(W_2\) separated by distance '\(a\)', carry currents \(i\) and \(3i\) respectively in the same direction. The magnitude of the force per unit length exerted by wire \(W_1\) on wire \(W_2\) is
Two circular coils X (smaller) and Y (bigger), each having a single turn, carry equal currents in the same direction and subtend the same angle at point 'O' along the axis of the coil. The distances of the centers of coil to point 'O' are \(d\) and \((\frac{d}{2})\) for coil Y and X respectively. The radii of coils Y and X are \((2r)\) and \((r)\) respectively. The magnetic induction due to the bigger coil at point 'O' is \(B_y\) and that due to smaller coil X at point 'O' is \(B_x\). (\(d≫r\)) The relation between \(B_x\) and \(B_y\) is
A diamagnetic liquid is filled in a U-tube. One arm of a U-tube is placed in an external magnetic field with the meniscus in line with the field. The level of the liquid in that arm will
Consider two coils in which a current in one coil carrying \(6\) A causes the change in the flux in the second coil \(12\times 10^{-4}\) weber/turn. The second coil has \(2000\) turns. The mutual inductance between the coils is
The frequency of oscillation of a small magnet in a magnetic field of induction 'B' is '\(n\)'. If the frequency of oscillations of the same magnet in a field of induction 'X' falls to \((\frac{n}{3})\), the value of 'X' is
Two different coils have self-inductance \(3L\) and \(L\). The current in both the coils is increased at the same constant rate. At certain instant of time, the power given to the two coils is same. At that time there was current and voltage induced in the two coils. At the same instant, the ratio of energy stored in the first coil to that in the second coil is
In a potentiometer circuit when two cells of e.m.f. \(1.5\) volt and \(1.2\) volt are connected to assist each other, balancing length is \(270\) cm. What will be the balancing length in cm when these two cells are connected in opposition?
In a meter bridge experiment, the balance point is obtained at length '\(l_1\)' cm from left hand when resistances in the left gap and right gap are \(15 \Omega\) and \(R \Omega\) respectively. When the resistance \(R\) is shunted with equal resistance the new balance point is at \((1.6\,l_1)\). The resistance \(R\) in ohm is
The voltage across a lamp is \((6.0\pm 0.3)\) volt and the current passing through it is \((4.0\pm 0.1)\) ampere. The power consumed in watt will be (using percentage error)
A slab of material of dielectric constant \(K\) has the same area as the plates of a parallel plate capacitor but has a thickness \((4/5)d\), where \(d\) is the separation of the plates. The capacitance in the presence and absence of dielectric are \(C\) and \(C_0\) respectively. The ratio \((C/C_0)\) is
A parallel plate capacitor of capacitance 'C' is connected to a battery and charged to a potential 'V'. Another capacitor of capacitance '\(3C\)' is charged to a potential '\(3V\)'. The charging battery is then disconnected and both the capacitors are connected in parallel to each other such that positive terminal of one is connected to negative terminal of the other. The final energy of the configuration is
Two electric dipoles of moment \(P\) and \(8P\) are placed in opposite directions on a line at a distance of \(24\) cm. The electric field will be zero at the point between the dipoles whose distance from the dipole of moment \(P\) will be \(x_1\). When \(8P\) is replaced by \(27P\) keeping all other quantities the same, the distance \(x_1\) now becomes \(x_2\). The difference \(|x_2-x_1|\) is ( All the distances are measured from the centers of the dipole.)
'\(n\)' small spherical drops of the same size which are charged to 'V' volt each coalesce to form a single big drop. The potential of a big drop is
The third overtone of a closed pipe of length '\(L_c\)' has the same frequency as the third overtone of the open pipe of length '\(L_0\)'. Both the pipes have same diameters. The ratio \(L_c:L_0\) is equal to
A set of \(14\) tuning forks is arranged in a series of increasing frequencies. Each fork produces '\(x\)' beats per second with the preceding fork and the last fork is an octave of the first fork. If the seventh fork has the frequency of \(114\) Hz, the value of \(x\) is
A tuning fork gives \(5\) beats per second with a \(33\) cm length of sonometer wire. If the length of the wire is shortened by \(1\) cm, the number of beats is still the same. The frequency of the fork is
Which one of the following statements regarding pitch of sound is 'WRONG' ?
(A) Pitch refers to sharpness of sound.
(B) Tone refers to the single frequency of that wave.
(C) High pitch sound need not be louder.
(D) In general male sound is sharper than that of a female.