List of top Questions asked in MHT CET- 2025

A $4\mu F$ capacitor is charged to 10 V. The battery is then disconnected and a pure 10 mH coil is connected across the capacitor so that LC oscillations are set up. The maximum current in the coil is

An object of mass 0.2 kg executes simple harmonic oscillations along the x-axis with frequency of $(\frac{25}{\pi}) Hz$. At the position $x = 0.04 m$, the object has kinetic energy 1 J and potential energy 0.6 J. The amplitude of oscillation is

The gravitational pull of the moon is $(\frac{1}{6})^{th}$ of the earth and mass of moon is $(\frac{1}{8})^{th}$ of the earth. This implies that the

Graph shows variation of stopping potential with frequency of incident radiation on a metal plate. The value of Planck's constant is [e = charge on photoelectron]

A stationary object at $4^\circ C$ and weighing 3.5 kg falls from a height of 2000 m on snow mountain at $0^\circ C$. If the temperature of the object just before hitting the snow is $0^\circ C$ and the object comes to rest immediately then the quantity of ice that melts is (Acceleration due to gravity = $10 m/s^2$, Latent heat of ice = $3.5 \times 10^5 J/kg$)

An inextensible string of length 'l' fixed at one end, carries a mass 'm' at the other end. If the string makes $\frac{1}{\pi}$ revolutions per second around the vertical axis through the fixed end, the tension in the string is [The string makes an angle $\theta$ with the vertical]

A coil of n turns and resistance $R \Omega$ is connected in series with resistance $R/4$. The combination is moved for time t second through magnetic flux $\phi_1$ to $\phi_2$. The induced current in the circuit is

The amount of work done in blowing a soap bubble such that its diameter increases from $d_1$ to $d_2$ is (T = surface tension of soap solution)

A polyatomic gas at pressure P, having volume 'V' expands isothermally to a volume '3 V' and then adiabatically to a volume '24 V'. The final pressure of gas is (for moderate temperature changes)

By increasing the temperature, the specific resistance of a conductor and a semiconductor respectively

What is the linear velocity if angular velocity $\vec{\omega} = 3\hat{i} - 4\hat{j} + \hat{k}$ and radius $\vec{r} = (5\hat{i} - 6\hat{j} + 6\hat{k})$ ?

Select the correct statement.

I - V characteristics of LED is shown correctly by graph

Two point charges $+10\mu C$ and $4\mu C$ are placed 10 cm apart in air. The work required to be done to bring them 2 cm closer is ($\frac{1}{4\pi\epsilon_0} = 9 \times 10^9$ SI units)

Two capacitors of \( 100 \mu\text{F} \) and \( 50 \mu\text{F} \) are connected in parallel. If the potential difference across \( 100 \mu\text{F} \) is 20 V and across \( 50 \mu\text{F} \) is 40 V, then the common potential of the parallel combination will be (same polarities of the capacitor connected together)

A solid cylinder of length \( l \) and cross-sectional area \( a \) is immersed such that it floats with its axis vertical at the liquid-liquid interface with length \( l/4 \) in the denser liquid (\(\rho\)) as shown in figure. The lower density liquid (\( \rho/3 \)) is open to atmosphere having pressure \( P_0 \). The density \( d \) of solid cylinder is

A body when projected at an angle \( \theta \) with the horizontal reaches a maximum height \( H \). The time of flight of the body will be ( \( g \) = acceleration due to gravity)

If a source emitting waves of frequency \( F \) moves towards an observer with a velocity \( \frac{V}{3} \) and the observer moves away from the source with a velocity \( \frac{V}{4} \), the apparent frequency as heard by the observer will be ( \( V \) = velocity of sound)

In hydrogen atom, transition from the state \( n = 6 \) to \( n = 1 \) results in ultraviolet radiation. Infrared radiation will be obtained in the transition

I - V characteristics of photodiode for different illumination intensities \( I_1, I_2, I_3, I_4 \) are drawn as follows. Then the maximum intensity among them is

A coil of 'n' turns and area 'A' is suddenly removed from a magnetic field, a charge 'q' flows through the coil. If resistance of the coil is 'R' then the magnetic flux density is (in \( \text{Wb/m}^2 \))

A convex lens of refractive index 1.5 has power 3D. It is placed in a liquid of refractive index 2. The new power of the lens is

In hydrogen atom, an electron of charge 'e' revolves in an orbit of radius 'r' with speed 'v'. The magnetic moment associated with electron is

Select the correct statement.

A particle is displaced from point \( P(3 \text{ m}, 4 \text{ m}, 5 \text{ m}) \) to a point \( Q(2 \text{ m}, 3 \text{ m}, 4 \text{ m}) \) under a constant force \( \vec{F} = (3\hat{i} + 4\hat{j} + 5\hat{k})\text{N} \). The work done by the force in this process is