MHT CET 2026 Physics Paper: 15 Apr, Shift 2

A series resonant circuit consists of an inductor 'L' and capacitor 'C' which produces resonant frequency 'f'. If 'L' is increased by '2L' and 'C' is changed to '9C' the resonant frequency will be

In an LCR series circuit, at resonance,

An electric lamp connected in series with a capacitor and an a.c source is glowing with certain brightness. On reducing the frequency of source the brightness of the lamp

In the hydrogen atom, radii of the first four Bohr orbits are related as

The electron in hydrogen atom is initially in the second excited state. When it finally moves to ground state, the maximum number of spectral lines emitted are

Capacitors of capacities $C_1$ and $C_2$ are connected in series. If the combination is connected to a supply of V volt then the potential difference across capacitor $C_2$ is

Two parallel plate air capacitors are connected in parallel. Each capacitor has plate area $A/2$ and separation between the plates is $d$ and $2d$ respectively. The equivalent capacity of the combination is

( $\epsilon_0$ = absolute permittivity of free space)

A car of mass m is crossing the convex bridge of radius of curvature R with speed V. At the highest point the thrust is ($g$ = gravitational acceleration)

A bucket containing water is revolved in vertical circle of radius r. To prevent the water from falling down, the period of revolution required is ($g$ = gravitational acceleration)

A particle at rest starts moving with constant angular acceleration '$\alpha$' in a circular path of radius 'r'. At certain instant, the magnitude of centripetal acceleration is $\left(\frac{1}{3}\right)^{rd}$ the tangential acceleration. The relation between linear speed (V) and angular acceleration ($\alpha$) is

A potentiometer wire is 4m long and potential difference of 2V is maintained between the ends. The e.m.f. of the cell which balances against a length of 80 cm of the potentiometer wire is

In metre bridge experiment, the resistance in the left gap is 15 $\Omega$ and in the right gap is 45 $\Omega$. The bridge is balanced. The distance of the null point from the centre of the wire is

When a metallic surface is illuminated with a radiation of wavelength '$\lambda$', the stopping potential is 'V'. If the same surface is illuminated with radiation of wavelength $6\lambda$, the stopping potential is $\left(\frac{V}{12}\right)$. The threshold wavelength for the surface is

In photoelectric effect experiment, if the frequency of incident radiation ($v$) is increased, keeping all other factors constant, the stopping potential, ( $v > v_0$) ($v_0$ = threshold frequency)

Two concentric circular coils having radii $r_1$ and $r_2$ ($r_2 \ll r_1$) are placed co-axially with centres coinciding. The mutual inductance of the arrangement is (Both coils have single turn, $\mu_0$ = permeability of free space)

Two solenoids A and B of equal number of turns have their lengths and radii in the same ratio $1 : 3$. The ratio of the self-inductance of solenoid A to that of B will be

A point charge 'Q' is placed at the centre of the line joining two equal charges '+q' and '+q'. The value of 'Q' when the system is in equilibrium is

For a uniformly charged plane sheet, the variation of electric field (E) with distance (d) is correctly shown graphically in graph

The distance of the two planets A and B from the sun are '$r_A$' and '$r_B$' respectively such that $r_B = 100\,r_A$. The ratio of the speed of planet A to that of planet B is (both the planets are revolving around the sun)

The ratio of the thermal conductivity of two rods of different materials is 6:5. The two rods of same area of cross section and same thermal resistance will have the length in the ratio

A black rectangular surface of area A emits energy E per second at $127^\circ$ C. If length and breadth is reduced to half of initial value and temperature is raised to $527^\circ$ C then energy emitted becomes

The energy spectrum of a black body exhibits a maximum around a wavelength $\lambda$. The temperature of a black body is now changed such that the energy is maximum at wavelength $2\lambda/3$. The power radiated by the black body will now increase by a factor of

The average translational kinetic energy of a molecule in a gas is $E_1$. The kinetic energy of the electron (e) accelerated from rest through potential difference 'V' volt is $E_2$. The temperature at which $E_1 = E_2$ possible is (N = number of molecules, R = gas constant)

An iron rod is placed parallel to magnetic field intensity 1000 A/m. The magnetic flux through the rod is $3 \times 10^{-4}$ Wb and its cross-sectional area is $1.5$ cm${}^{2}$. The magnetic permeability of rod in Wb/A-m is

A long wire is bent into a circular coil of one turn and then into a circular coil of smaller radius having n turns. If the same current is passed in both the cases, the ratio of magnetic field produced at the centre for one turn to that of n turns is

A thin ring of radius 'R' metre has charge 'q' coulomb uniformly spread on it. The ring rotates about its axis with a constant frequency of 'f' revolution/s. The value of magnetic induction at the centre of the ring in Wb/m${}^{2}$ is

( $\mu_0$ = permeability of free space)

A charge moves in a circular path perpendicular to a magnetic field. The time period of revolution is independent of

The minimum phase difference between two simple harmonic motions is

A pendulum clock is running slow, In order to correct it, we should

A body of mass $0.4$ kg performs simple harmonic motion. It experiences a restoring force of $0.4$ N when its displacement from the mean position is 4 cm. The force constant and magnitude of acceleration respectively are

A batsman hits a ball with a velocity 'v', making an angle of $60^\circ$ with the vertical. After some time direction of velocity is making an angle of $60^\circ$ with the horizontal. The speed of the ball at this instant is

$\left[\cos(60^\circ) = \frac{1}{2},\ \cos(30^\circ) = \frac{\sqrt{3}}{2}\right]$

In the phenomenon of refraction of light for the same angle of incidence

The angle of minimum deviation produced by a thin prism in air is $\delta_1$. What will be the minimum deviation ($\delta_2$) if the prism is immersed in liquid?

$\left[{}^a n_g = \frac{3}{2},\ {}^a n_\ell = \frac{1}{3}\right]$

In common emitter amplifier, a change of $0.2$ mA in the base current causes a change of $5$ mA in the collector current. If input resistance is $2$ k$\Omega$ and voltage gain is $75$, the load resistance used in the circuit is

In the logic circuit diagram, when all the four inputs, A, B, C, D are 'one' the outputs $Y_1, Y_2, Y_3$ are respectively (1, 1, 0). When the inputs A and C are changed to zero and B and D are still 'one', then the outputs $Y_1, Y_2, Y_3$ are respectively change to

In the diagram shown, the resistance between points A and B is '$R_1$' when an ideal diode D is forward biased and is '$R_2$ ' when ideal diode D is reverse biased. The ratio $R_1/R_2$ is

Three liquids have same surface tension and densities $\rho_1, \rho_2$ and $\rho_3$ ($\rho_1 < \rho_2 < \rho_3$). In three identical capillaries rise of liquid is same. The corresponding angle of contact $\theta_1, \theta_2$ and $\theta_3$ are related as

The excess pressure inside the first soap bubble of radius $R_1$ is three times that inside the second soap bubble of radius $R_2$. The ratio of volumes of the first to second bubble is

A square frame of each side L is dipped in a soap and taken out, the force acting on the film formed is ( T = surface tension of soap solution)

In a cyclic process, work done by the system is

An ideal gas is expanded adiabatically. How many times has the gas to be expanded to reduce the r.m.s. speed of molecules 3 times? ($\gamma = 1.5$)

A wire has mass $(0.3 \pm 0.003)$ gram, radius $(0.5 \pm 0.005)$ mm and length $(6 \pm 0.06)$ cm. The maximum error in the measurement of density is

Let $\vec{A}$ and $\vec{B}$ be two non-zero vectors of different magnitude. Which one of the following is the correct equation?

A pipe open at both ends has a fundamental frequency 'f' in air. The pipe is dipped in water, so that ${\frac{2}{3}}^{rd}$ length of pipe is in water, Now the fundamental frequency of the air column is

When open pipe is closed from one end then second overtone of closed pipe is higher in frequency by 100 Hz than first overtone of open pipe. The fundamental frequency of open end pipe will be (Neglect end correction)

A simple harmonic progressive wave is represented by $y = A\sin(120\pi t + 3x)$. The distance between two points on the wave at a phase difference of $\frac{\pi}{3}$ radian is

To increase the frequency of transverse oscillations of a stretched string by 40%, the tension must be increased by

Light of wavelength $\lambda$ is incident on a single slit of width 'a' and the distance between slit and screen is 'D'. In diffraction pattern, if slit width is equal to the width of the central maximum then 'D' is equal to

A double slit experiment is immersed in water of refractive index $1.33$. The slit separation is 1 mm, distance between slit and screen is $1.33$ m. The slits are illuminated by light of wavelength 6300 \AA. The fringe width is