List of top Questions asked in MHT CET- 2025

If the power factor changes from 0.5 to 0.25 because impedance changes from $Z_1$ to $Z_2$ then $Z_1 = x Z_2$. The value of x is (Resistance remains constant)

Six molecules of a gas in container have speeds 2 m/s, 5 m/s, 3 m/s, 6 m/s, 3 m/s, and 5 m/s. The r.m.s. speed is

Out of the following molecules the one which represents the polar molecule is

The energy needed for breaking a liquid drop of radius 'R' into 216 droplets, each of radius 'r' is 'x' times $TR^2$. The value of 'x' is [ T = surface tension of the liquid].

Two identical coils of inductance L joined in series are placed very close to each other such that the winding direction of one coil is exactly opposite to that of the other. The net inductance is

Two sound waves travelling in the same direction have displacement $y_1 = a \sin(0.2\pi x - 50\pi t)$ and $y_2 = a \sin(0.15\pi x - 46\pi t)$. How many times, a listener can hear sound of maximum intensity in one second?

Two current carrying identical coils are kept as shown in figure. The magnetic field at centre 'O' is (N and R represent the number of turns and radius of each coil respectively, $\mu_0$ = permeability of free space)

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

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

Two stones of masses m and 3 m are whirled in horizontal circles, the heavier one in a radius $(\frac{r}{3})$ and lighter one in a radius r. The tangential speed of lighter stone is 'n' times the value of heavier stone. When the magnitude of centripetal force becomes equal the value of n is

A particle describes a horizontal circle on smooth inner surface of a cone as shown in figure. If the height of the circle above the vertex is 10 cm. The speed of the particle is (g, acceleration due to gravity = $10 m/s^2$)

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 = $3.5 \times 10^5 J/kg$)

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)

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]

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

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

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]

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)

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

Select the correct statement.

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

I - V characteristics of LED is shown correctly by graph

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