List of top Questions asked in MHT CET- 2025

In a common emitter transistor amplifier, the output voltage and input voltage have a phase difference of

Two thin lenses having $\text{R}_1, \text{R}_2$ as the radii of curved surfaces are kept coaxially together. Their power is proportional to}

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

The temperature of a body on Kelvin scale is ' $x\text{ }K$ '. When it is measured by a Fahrenheit thermometer, it is found to be ' $x\text{ }^\circ\text{F}$ '. The value of ' $x$ ' is (nearly)}

A rectangular film of liquid is expanded from $(5\text{ cm} \times 4\text{ cm})$ to $(7\text{ cm} \times 8\text{ cm})$. If the work done is $3 \times 10^{-4}\text{ J}$, the surface tension of the liquid is (nearly)}

The total charge induced in a conducting loop when it is moved in a uniform magnetic field depends on

A solid sphere and thin walled hollow sphere have same mass and same material. Which of them have greater moment of inertia about their diameter? [ $I_h =$ moment of inertia of hollow sphere about an axis coinciding with its diameter, $I_s =$ moment of inertia of solid sphere about an axis coinciding with its diameter]

A series combination of $10$ capacitors, each of value ' $C_1$ ' is charged by a source of potential difference ' $4\text{ V}$ '. When another parallel combination of $8$ capacitors, each of value ' $C_2$ ' is charged by a source of potential difference ' $V$ ', it has the same total energy stored in it as in the first combination. The value of ' $C_2$ ' is

A person standing between two parallel cliffs fires a gun and hears two echoes, first echo after $1$ second and the second echo after $3$ second. The distance between the two cliffs is (Velocity of sound $= 340\text{ m/s}$ )

A solid sphere of mass ' $m$ ' and radius ' $R$ ' is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with angular speed twice that of sphere. The ratio of kinetic energy of sphere to kinetic energy of cylinder will be

Four charges $2\mu\text{C}, -3\mu\text{C}, 4\mu\text{C}, -4\mu\text{C}$ and $-1\mu\text{C}$ are enclosed by the Gaussian surface of radius $2\text{ m}$ . Net outward flux through the Gaussian surface is (in $\mu\text{V} - \text{m}$ ) [ $\epsilon_0 =$ permittivity of free space]}

Assuming human pupil to have radius of $0.25\text{ cm}$ and comfortable viewing distance of $25\text{ cm}$ , the minimum separation between the two objects that human eye can resolve at $500\text{ nm}$ wavelength is nearly}

A vehicle is moving with a constant speed of $10\text{ m/s}$ in a circular horizontal track of radius $20\text{ m}$ . A bob is suspended from the roof of a vehicle by a massless string. The angle made by the string with the vertical will be (acceleration due to gravity, $g = 10\text{ m/s}^2$ )}

In a pure silicon crystal electron-hole concentration is $10^{16}$ per $\text{m}^3$ at $301\text{ K}$ . Now $10^{21}$ atoms of phosphorus are added per cubic metre. The new hole concentration in silicon is (in per $\text{m}^3$ )}

In a Young's double slit experiment wavelength of light used is $6000\text{\AA}$. The first order maxima and tenth order maxima fall at $14.50\text{ mm}$ and $16.75\text{ mm}$ from the particular reference point in the interference pattern respectively. If the wavelength is changed to $5500\text{\AA}$ then the position of zero order and tenth order maxima are respectively} [The other arrangements remaining same]

$_{88}\text{R}_{\text{a}}^{226}$ is converted into $_{82}\text{P}_{\text{b}}^{206}$ by emission of alpha ( $\alpha$ ) and beta ( $\beta$ ) particles. The number of alpha and beta particles emitted are respectively}

A vehicle is moving with uniform speed along 3 different shaped roads as horizontal, concave and convex. The surface of road on which, the normal reaction on vehicle is maximum is

Let the line \(\frac{x-2}{3} = \frac{y-1}{-5} = \frac{z+2}{2}\) lie in the plane \(x + 3y - \alpha z + \beta = 0\), then the value of \((\beta - \alpha)\) is equal to

The number of solutions of \(16^{\sin^2 x} + 16^{\cos^2 x} = 10\) in \(0 \le x \le 2\pi\) are

If the difference between the maximum and minimum values of the objective function \(z = 7x - 8y\), subject to the constraints \(x + y \le 20, y \ge 5, x, y \ge 0\) is \(5k + 200\), then the value of k is

If the tangent and the normal at the point \((\sqrt{3}, 1)\) to the circle \(x^2 + y^2 = 4\), and the X-axis form a triangle, then the area (in sq.units) of this triangle is

The line \(y = mx + 3\) is tangent to the parabola \(y^2 = 4x\), if the value of m is

If the lines \(\frac{x-1}{2} = \frac{y+1}{k} = \frac{z}{2}\) and \(\frac{x+1}{5} = \frac{y+1}{2} = \frac{z}{k}\) are coplanar, then the equation of the plane containing these lines are