List of top Questions asked in MHT CET- 2025

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

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)

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)

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

Select the correct statement.

Three charges \( +3q, Q \) and \( +q \) are placed in a straight line of length \( L \) at points at distances \( 0, \frac{L}{2} \) and \( L \) respectively. The value of \( Q \) in order to have the net force on \( +q \) to be zero, \( Q = xq \). The value of \( x \) is

The pressure on a square plate is measured by measuring the force acting on the plate and length of the sides of the plate. The maximum error in the measurement of force and length are respectively 4% and 2%, the percentage error in the measurement of pressure 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

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

If \( ^{15}C_4 + ^{15}C_5 + ^{16}C_6 + ^{17}C_7 + ^{18}C_8 = ^{19}C_r \), then the value of \( r \) is equal to}

In a triangle with one of the angles \( 120^\circ \), the lengths of the sides form an A.P. If the length of the greatest side is 7 m, then the area of the triangle is

If \( \bar{a} = \frac{1}{\sqrt{10}}(3\hat{i} + \hat{k}) \) and \( \bar{b} = \frac{1}{7}(2\hat{i} + 3\hat{j} - 6\hat{k}) \), then the value of \( (2\bar{a} - \bar{b}) \cdot ((\bar{a} \times \bar{b}) \times (\bar{a} + 2\bar{b})) = \)}

The difference between the maximum value and minimum value of objective function \( z = 3x + 5y \) subject to \( x + 3y \le 60, x + y \ge 10, x - y \ge 0, x, y \ge 0 \) is

If \( x = e^{\tan^{-1} \left( \frac{y-x^2}{x^2} \right)} \), then \( \frac{dy}{dx} \) at \( x = 1 \) is

If \( x = \sin \theta, y = \sin^3 \theta \), then \( \frac{d^2y}{dx^2} \) at \( \theta = \frac{\pi}{6} \) is

If \( f(x) = 3x^3 + 2x^2 f'(1) + x f''(2) + f'''(3) \) then \( f(x) = ....... \)}

The rates of change of the perimeter and area of a rectangle respectively when length $x=5$ cm and breadth $y=2$ cm, if $dx/dt = -5$ cm/min and $dy/dt = 3$ cm/min, are

The angle between the line \( x = \frac{y-1}{2} = \frac{z-3}{\lambda} \) and the plane \( x + 2y + 3z = 6 \) is \( \cos^{-1} \sqrt{\frac{5}{14}} \), then the value of \( \lambda \) is

The combined equation of the tangent and normal to the curve \( xy = 15 \) at the point (5, 3) is

The sum of two nonzero numbers is 4. The minimum value of the sum of their reciprocals is

If the line \( ax + by + c = 0 \) is normal to the curve \( xy = 1 \), then}

\( \int \sqrt{x^2 + 3x} dx = \)}

Let the plane passing through point (2, 1, -1) containing line joining the points (1, 3, 2) and (1, 2, 1) makes intercepts \( p, q, r \) on co-ordinate axes, then \( p + q + r = \)}