MHT CET 2026 Physics Paper: 15 May, Shift 2

An AC source is $120$ V - $60$ Hz. The value of voltage after $\frac{1}{720}$ s from start will be $\left(\sin 30^\circ = \frac{1}{2}\right)$

An alternating voltage $V = 200\sqrt{2} \sin(100t)$ volt is connected to $1\ \mu F$ capacitor through ammeter (AC). The reading of ammeter is (in mA)

Same current is flowing in two AC circuits. First contains only inductance and second contains only capacitance. If frequency of AC is increased for both, the current will

In hydrogen like spectrum if wavelength of transition from $3^{rd}$ to $2^{nd}$ orbit is $\lambda_{1}$ then wavelength of transition from $4^{th}$ to $3^{rd}$ orbit (Bohr's) is $\lambda_{2}$. If $\lambda_{2}/\lambda_{1} = 20/x$ then value of $x$ is

Four capacitors each of $16\ \mu\text{F}$ are connected as shown. The capacitance between points $A$ and $B$ is (in $\mu\text{F}$)

A parallel plate capacitor of plate separation $2$ mm and plate area $40$ cm$2$ is filled with dielectric whose area is same as plates of capacitor. Thickness is $1$ mm and dielectric constant is $5$. New capacitance is ($\epsilon_0$ = permittivity of free space)

In an electric circuit shown, each cell has e.m.f. $2\text{ V}$ and internal resistance $1\ \Omega$. The external resistance is $2\ \Omega$. The value of current (in A) is

Two wires $A$ and $B$ of equal lengths are connected in left and right gap of a metre bridge, null point is obtained at $40$ cm from left end. Diameters of the wires $A$ and $B$ are in the ratio $3 : 1$. The ratio of specific resistance of $A$ to that of $B$ is

When a certain metal surface is illuminated with a light of wavelength $\lambda$, the stopping potential is $V$. When the same surface is illuminated by light of wavelength $2\lambda$, the stopping potential is $\left(\frac{V}{3}\right)$. The threshold wavelength for the surface is

The number of photons per second emitted by the source of monochromatic light of wavelength $600$ nm, when it delivers the power of $3.3 \times 10^{-3}$ W will be

(Planck's constant $= 6.6 \times 10^{-34}$ Js, $c = 3 \times 10^{8}$ m/s)

A rectangular wire loop of resistance $1.5\ \Omega$ placed in a region of uniform magnetic field of magnitude $0.3$ T directed normal to the loop. If the area of the loop decreases at a rate of $0.05$ m${}^{2}/\text{s}$ in this magnetic field, the heat produced in it is $x \times 10^{-6}$ W. The value of $x$ is

Two coils $P$ and $Q$ are separated by some distance. When a current of $3\text{ A}$ flows through coil $P$, a magnetic flux of $10^{-3}$ Wb passes through $Q$. No current is passed through $Q$. When no current passes through $P$ and a current of $2\text{ A}$ passes through $Q$, the flux through $P$ is $x \times 10^{-3}$ Wb. The value of $x$ is

The inductance of a coil is proportional to

Two point charges placed at a certain distance $r$ in air exert force $F$ on each other. Then the distance $r_1$ at which these charges will exert the same force in a medium of dielectric constant $K$ is

Two concentric spheres kept in air have radii $R$ and $r$. They have similar charge and equal surface charge density $\sigma$. The electric potential at their common centre is ($\epsilon_0$ = permittivity of free space)

A particle of mass $m$ is projected with a velocity $v = KV_e$ ($K < 1$) from the surface of the earth. The maximum height above the surface reached by the particle is ($V_e$ = escape velocity, $R$ is radius of earth)

The relationship between the magnetic susceptibility ($\chi$) and magnetic permeability ($\mu$) of a material is ($\mu_0$ and $\mu_r$ is the permeability of free space and relative permeability respectively)

A student runs along a circular track of diameter $80$m. The distance travelled and the magnitude of displacement of the student when he covers $\left(\frac{3}{4}\right)^{\text{th}}$ of the circle is (in m)

A person travelling in a straight line moves with uniform velocity $V_1$ for a distance $x$ and with a uniform velocity $V_2$ for the next $\frac{3x}{2}$ distance. The average velocity in this motion is $\frac{50}{7}$ m/s. If $V_1$ is $5$ m/s then $V_2$ (in m/s) is

The magnitude of the magnetic field inside a long solenoid is increased by

A uniform conducting wire of length $\text{'}12a\text{'}$ and resistance $R$ is wound up as a current carrying coil in the shape of an equilateral triangle of side $\text{'}a\text{'}$ and then a square of side $\text{'}a\text{'}$. The ratio of magnetic dipole moments of triangular to square coil is

A radioactive nucleus ${}^{A}_{Z}X$ undergoes spontaneous decay in the sequence

${}^{A}_{Z}X \rightarrow {}^{\square}_{Z-1}B \rightarrow {}^{\square}_{Z-3}C \rightarrow {}^{\square}_{Z-2}D$ where $Z$ is the atomic number of element. The possible decay particles in the sequence are

Two simple pendulums having lengths $\ell_1$ and $\ell_2$ with negligible string mass undergo angular displacement $\theta_1$ and $\theta_2$ from their mean positions respectively. If the angular acceleration of both pendulums are same, then which equation is correct?

A horizontal spring executes S.H.M. with amplitude $A_1$ when mass $m$ is attached to it. When it passes through mean position another mass $m$ is placed on it. Both masses move together with amplitude $A_2$. The ratio $\frac{A_1}{A_2}$ is

For the same angle of incidence, the angles of refraction in media A, B, C and D are $50^\circ,\ 40^\circ,\ 30^\circ$ and $20^\circ$ respectively. The speed of light is minimum in medium

A biconvex lens has radius of curvature of both the surfaces same as $\frac{1}{6}$ cm. If this lens is replaced by another convex lens having different radii of curvature on both sides without change in lens power then possible combination of $R_1$ and $R_2$ is ($R_1 \neq R_2$)

Moment of inertia of a disc of mass $m$ and radius $R$ about the centre of mass and perpendicular to plane is $I_1$ and moment of inertia of disc at a distance $\frac{2R}{3}$ from centre and perpendicular to plane is $I_2$ then $I_1/I_2$ is

A circular ring and a solid sphere having same radius roll down on an inclined plane from rest without slipping. The ratio of their velocities when reached at the bottom of the plane $\sqrt{\frac{x}{5}}$ where the value of $x$ is

At room temperature, a p-type semiconductor has

An AND gate is followed by a NOT gate in series. With two input $A$ and $B$, the Boolean expression for the output $Y$ will be

The Zener diode has reverse breakdown voltage $V_Z$. The current through the load resistance $R_L$ is $I_L$. The current through Zener diode is

($V_0$ = Input voltage, $R_S$ = Series resistance)

A capillary tube is taken from the earth to the surface of the moon. The rise of the liquid column on the moon (acceleration due to gravity on earth is $6$ times that of the moon) is

Two water drops each of radius $r$ coalesce to form a big drop. If $T$ is the surface tension, the surface energy released in this process is $4\pi r^2 T x$. The value of $x$ is

The internal energy of a diatomic molecule (air) in $4\text{ m} \times 4\text{ m} \times 3\text{ m}$ sized room at $10^{5}$ N/m$^{2}$ atmospheric pressure will be $x \times 10^{6}$ J. The value of $x$ is

Consider $p\text{-}V$ diagram for an ideal gas as shown. Out of the following diagrams which represents the $T\text{-}p$ diagram?

For a gas, if the ratio of specific heats at constant pressure and volume is $\gamma$ then the value of degree of freedom is

In an adiabatic process, which one of the following statement is true?

Two moles of a rigid diatomic gas does a work $\frac{Q}{4}$ when the amount of heat supplied is $Q$. In this process the total heat capacity of the gas is ($R$ = gas constant)

A sheet of solid material having area $A$ and coefficient of linear expansion $\alpha$. The mass of sheet is $m$ and specific heat capacity is $s$. If $dQ$ is the amount of heat given to the sheet then change in its area is

A physical quantity $C$ is related to four other quantities $P,\ Q,\ R$ and $S$ as $C = \frac{PQ^2}{R^3\sqrt{S}}$. The percentage error in the measurement of $P,\ Q,\ R$ and $S$ are $1\%,\ 2\%,\ 3\%$ and $2\%$ respectively. The percentage error in the measurement of $C$ will be

The angle made by a vector $\vec{B} = 3\hat{i} + 2\hat{j} + 4\hat{k}$ with Y axis is

The velocity of a small ball of mass $M$ and density $d$ when dropped in a container filled with glycerine becomes constant after some time. If density of glycerine is $\frac{d}{2}$ then the viscous force acting on the ball will be ($g$=acceleration due to gravity)

In an experiment with a closed organ pipe, it is filled with water by $\left(\frac{1}{5}\right)^{th}$ of its volume. The frequency of the fundamental note will change by

An organ pipe $P_1$ closed at one end and vibrating in its first overtone and other pipe $P_2$ open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of length of $P_1$ and $P_2$ will be

In a sine wave, minimum distance between $2$ particles always having same speed is

Two points separated by $6$ cm on a string has phase difference of $60^\circ$. If frequency of oscillation is $500$ Hz, the velocity of the wave in $\frac{m}{s}$ is

Three polaroid sheets are co-axially placed such that pass axis of polaroids $2$ and $3$ make $30^\circ$ and $90^\circ$ with pass axis of sheet. If $I_0$ is the intensity of unpolarised light entering first sheet, the intensity of the emergent light through $3^{rd}$ sheet is

At two points $P$ and $Q$ on the screen in Young's double slit experiment, waves from slits $S_1$ and $S_2$ have a path difference of zero and $\frac{\lambda}{4}$ respectively. The ratio of intensities at $P$ and $Q$ will be $\left(\cos 0^\circ = 1,\ \cos 45^\circ = \frac{1}{\sqrt{2}}\right)$

If the force acting on a body is inversely proportional to its speed, the kinetic energy of the body is

A sphere of mass $50$ gram is placed on a vertical spring. It is compressed by $0.4$ m using a force $10$ N. When the spring is released the sphere will reach to a height of ($g = 10\text{ m/s}^2$)