List of top Questions asked in MHT CET- 2025

A radioactive element $^{242}_{92}X$ emits two $\alpha$ particles, one electron and two positrons. The product nucleus is represented by $^{234}_P Y$. The value of P is

Two cells of e.m.f.s $E_1$ and $E_2$ ($E_1>E_2$) are connected as shown in figure. When the potentiometer is connected between A and B, the balancing length of the potentiometer wire is 3.60 m. On connecting the potentiometer between A and C, the balancing length is 0.90 m. The ratio $E_1/E_2$ is

In Young's double slit experiment, the light of wavelength '$\lambda$' is used. The intensity at a point on the screen is 'I' where the path difference is $\lambda/4$. If '$I_0$' denotes the maximum intensity then the ratio of '$I_0$' to 'I' is ($\cos 45^\circ = 1/\sqrt{2}$)

The fundamental frequency of sonometer wire is 'n'. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will be

The length of a potentiometer wire is 'L'. A cell of e.m.f. 'E' is balanced at a length $\frac{L}{4}$ from the positive end of the wire. If the length of the original wire is increased by $\frac{L}{3}$, then using the same cell null point is obtained at

Electron beam when accelerated by a voltage of 10 kV, has a de-Broglie wavelength '$\lambda$'. If the voltage is increased to 20 kV then the de-Broglie wavelength associated with the electron beam would be

A particle is executing S.H.M. of amplitude 'A'. When the potential energy of the particle is half of its maximum value during the oscillation, its displacement from the equilibrium position is

Same current is flowing in two different a.c. circuits. First circuit contains only inductance and second contains only capacitance. If the frequency of a.c. is increased in both circuits, the current will

An open organ pipe is closed such that the third overtone of the closed pipe is found to be higher in frequency by 200 Hz than the second overtone of the original pipe. The fundamental frequency of the open pipe is (Neglect end correction)

During thermodynamic process, the increase in internal energy of a system is equal to the work done on the system. Which process does the system undergo?

In Young's double slit experiment, the intensity of light at a point on the screen where the path difference is $\lambda$ is 'I'. The intensity at a point where the path difference is $\lambda/6$ is $[\cos \frac{\pi}{6} = \frac{\sqrt{3}}{2}][\lambda = \text{wavelength of light}][\cos \pi = -1]$

The motion of the particle is given by the equation x = A $\sin \omega t$ + B $\cos \omega t$. The motion of the particle is

The relation between magnetic moment (M) of a current carrying circular coil and length (L) of the wire used is

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

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?

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

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

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].

A motor cyclist has to rotate in horizontal circles inside the cylindrical wall of inner radius 'R' metre. If the coefficient of friction between the wall and the tyres is '$\mu_s$', then the minimum speed required is ( g = acceleration due to gravity)

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)

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

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

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 = $10 m/s^2$)