MHT CET 2026 Physics Paper: 20 May, Shift 1

The correct phasor diagram for an a.c. circuit containing only pure capacitor.

A resistor of $200\ \Omega$, an inductor of self inductance $\left(\frac{2}{\pi^2}\right)$ H and a capacitor of unknown capacity are connected in series to an a.c. source of $100$ V and $50$ Hz. When the current and voltage are in phase the capacitance and the power dissipated is

Which one of the following spectral series of hydrogen atom lies in ultraviolet region?

Air capacitor has capacitance $C_1$. The space between two plates of capacitor is filled with two dielectric as shown in figure. The new capacitance of the capacitor is $C_2$. Then $\frac{C_1}{C_2}$ is [$d$ = distance between two plates, $K_1$ and $K_2$ are dielectric constants of first and second dielectrics respectively]

In case of thermistor, which one of the following statements is 'WRONG'?

A balanced meter bridge is shown in the circuit diagram. The meter bridge wire has resistance $2\ \frac{\Omega}{cm}$. The current drawn from the battery is (Internal resistance of the battery is negligible)

The wavelength '$\lambda$' of photon and the de-Broglie wavelength of an electron have same value. The ratio of kinetic energy of electron to the energy of a photon is (m=mass of electron, h = Planck's constant, c = velocity of light)

Light of incident frequency three times the threshold frequency is incident on a photo sensitive material. If the incident frequency is made $\left(\frac{1}{3}\right)^{rd}$ and intensity is doubled then photoelectric current will

A bar magnet falls from a height through a metal pipe. Its acceleration will be ($g$ = acceleration due to gravity)

A coil having effective area 'A' is held with its plane normal to a magnetic field of induction 'B'. The magnetic induction is quickly reduced to $25\%$ of its initial value in $2$ second. Then e.m.f. induced across the coil will be

A long metal rod of length 'L' completes the circuit. The area of the coil is perpendicular to magnetic field 'B'. Total resistance of the circuit is 'R'. The force needed to move the rod in the direction as shown with constant speed 'V' is

The current flowing through an inductor of self-inductance L is continuously increasing at constant rate. The variation of induced e.m.f. (e) versus time $t$ is shown graphically by

Polar molecules are those in which

Three equal $(+q)$ charges are placed in air at the vertices of equilateral triangle. If the side of equilateral triangle is $l$, the net potential energy of the system is $\left[K = \frac{1}{4\pi\epsilon_0}\right]$

An electric charge of magnitude '$2e$' and mass '$2m$' is moving in an electric field 'E'. The acceleration imparted to the charge is

If a capillary tube is immersed in water, rise of water in capillary is $h_1$. When the whole arrangement is taken to a depth $d$ in a mine, the water level rises to $h_2$. The ratio $\frac{h_2}{h_1}$ is (R=radius of earth)

The geostationary satellite is revolving round the earth of mean radius $R$. If $g$ is the acceleration due to gravity at earth's surface, $\omega$ is the angular speed of rotation of earth about its own axis and $r$ is the radius of orbit of a satellite, then the correct relation between $r$, $\omega$, $g$ and $R$ is

Temperature of two stars are in the ratio $3 : 2$. If wavelength of maximum intensity of first star is $4200$ Å, the corresponding wavelength for second star is

Identify the INCORRECT statement about the black body radiation

Two bodies 'X' and 'Y' at temperatures $T_1$ K and $T_2$ K respectively have the same dimensions. Their emissivities $e_1$ and $e_2$ are in the ratio of $1 : 6$. If their emissive powers are same, the relation between their temperatures is

A body moving with uniform acceleration travel $16$ m in the third second of its motion and $24$ m in the fifth second of its motion. The velocity of the body in $10$ second is

A circular coil having n turns, each of radius 'r' carries a current I. The magnetic field at a distance $x = \sqrt{8}\, r$ from its centre along the axis of the coil is ($\mu_0$ = permeability of free space)

A rectangular coil of $n$ turns has area $\vec{A}$ and it is placed in uniform magnetic field $\vec{B}$. If the current passing through the coil is 'I' then the torque acting on the coil is

The relation between magnetic moment (M) of revolving electron of charge (e) and mass (m) having principle quantum number (n) is (h = Planck's constant)

A voltmeter with series resistance $R$ has a range $(0 - V_1)$ volt. With a series resistance of $4R$, its range becomes $(0 - V_2)$ volt. The relation between $V_1$ and $V_2$ is

Which one of the following is possible nuclear reaction?

The bob of a simple pendulum is a hollow sphere with a small hole in the bottom. It is filled with sand and set into oscillation. Its periodic time (T) is measured at regular intervals. As the sand starts coming out we find that.

A spring of force constant $180$ N/m is loaded with a mass $0.20$ kg. The amplitude of oscillations is $4$ cm. When mass comes to equillibrium position, its velocity in m/s is

A simple pendulum performs simple harmonic motion about $x = 0$ with an amplitude 'A' and angular frequency $\omega$. The speed of pendulum at $x = \frac{A}{8}$ will be.

The focal length of a glass convex lens in air is $f_a$ and that in water is $f_w$. The refractive index from air to glass is $\frac{3}{2}$ and that from air to water is $\frac{4}{3}$. The ratio $f_a : f_w$ is

A beam of light is travelling from region I to region IV. The refractive indices in regions I, II, III and IV are $n,\ \frac{n}{2},\ \frac{n}{3}$ and $\frac{n}{4}$ respectively. The angle of incidence for which the beam just misses entering region IV is [$\sin 90^\circ = 1$]

At the corners of an equilateral triangle of side L, point masses, each of mass $2$ kg are placed. The moment of inertia of the system about an axis along any one side is (in kg$\text{-m}^{2}$)

The moment of inertia of two rotating bodies 'X' and 'Y' are $I_1$ and $I_2$ respectively where $I_2 > I_1$. If $K_x$ and $K_y$ are their rotational kinetic energies and their angular momenta are equal, then

In a two input logic gate, when one input is '1' and the other is '0' (zero), the output is '1'. But even if both inputs are '0' (zero), the output is '1'. The logic gate is

To get output zero for the following circuit, the correct choice for the input is

a. $A = 1, B = 1, C = 0$

b. $A = 0, B = 1, C = 0$

c. $A = 1, B = 1, C = 1$

d. $A = 1, B = 0, C = 1$

Water rises to a height of $2.2$ cm in glass capillary tube. The height to which water will rise in another capillary having one-fourth area of cross-section as that of the first is.

$729$ water droplets of equal radii combine to form a big drop. The ratio of final surface energy to the total initial surface energy is

An ideal gas having pressure P, volume V and temperature T undergoes a thermodynamic process in which $dW = 0$ and $dQ < 0$. Then, for the gas

In case of 'free expansion', which one of the following statements is 'WRONG'?

$540$ gram of ice at $0^{\circ}$ C is mixed with $540$ gram of water at $90^{\circ}$ C. The final temperature of the mixture will be [Latent heat of fusion of water = 80 cal/g]

Mass and volume of a body are found to be $(6.00 \pm 0.03)$ kg and $(2.00 \pm 0.02)$ m$^{3}$ respectively. Then the density of the body is

Let $\vec{P} = \hat{i} + \hat{j} + \hat{k}$ and $\vec{Q} = -\hat{i} - \hat{j} - \hat{k}$. The angle between $(\vec{P} - \vec{Q})$ and $\vec{P}$ is

There are two wires vibrating with same frequency of $500$ Hz. Tension in one wire is increased by 'x' % so that $5$ beats per second are heard. The value of 'x' in % is

A pipe open at both ends has length $1$ m. The air column in a pipe cannot resonate for a frequency (Neglect end correction, speed of sound in air $= 340$ m/s)

Two vibrating metal wires of the same material of length 'L' and '3L' and have radii '2r' and 'r' respectively. They are stretched under same tension. Both the wires vibrate in their fundamental modes. The ratio $\frac{n_1}{n_2}$ is [$n_1$ and $n_2$ are the frequencies of first and second wire respectively]

A body sends waves $150$ mm long through medium P and $0.30$ m long in medium Q. If the velocity of wave in medium P is $80$ cm/s, the velocity of wave in medium Q in m/s is

The interference pattern is obtained with two coherent light sources of intensity ($I_1$ and $I_2$) ratio '$\beta$'. In the interference pattern, the ratio $\left(\frac{I_{max} + I_{min}}{I_{max} - I_{min}}\right)$ will be $\left(\beta = \frac{I_2}{I_1}\right)$

In the Young's double slit experiment, when a glass plate of thickness 't' is introduced in the path of one of the slits, the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of glass plate is [refractive index of glass plate = 1.5, wavelength of light in vacuum is $\lambda$]

If 'm' is the mass of the body moving with velocity 'v' having kinetic energy 'E', then the linear momentum of the body is

The kinetic energy of light body and a heavy body is same. Which one of the following statement is true?