List of top Questions asked in MHT CET

Which of the following represents the correct IUPAC name for \( \text{CH}_3\text{CH}_2\text{OH} \)?
What is the mass of 0.5 moles of water (H$_2$O)?
What is the pH of a solution when the concentration of hydrogen ions \([H^+]\) is \( 1 \times 10^{-5} \, \text{mol/L} \)?
Which of the following is the correct electronic configuration for the element with atomic number 16?
What is the molar mass of a gas, if 2.5 g of the gas occupies 1.12 L at STP?
A wire has a resistance of \( 10 \, \Omega \) at \( 20^\circ \text{C} \). If the temperature coefficient of resistance of the material is \( 0.004 \, \text{per}^\circ \text{C} \), what is the resistance of the wire at \( 50^\circ \text{C} \)?
A force of \( 100 \, \text{N} \) is applied to an object at an angle of \( 30^\circ \) to the horizontal. What is the work done by the force in moving the object a distance of \( 5 \, \text{m} \)?
A light ray passes from air (refractive index \( n_1 = 1 \)) into water (refractive index \( n_2 = 1.33 \)). If the angle of incidence is \( 30^\circ \), what is the angle of refraction in the water?
A 2 kg object is in a gravitational field where the acceleration due to gravity is \( 9.8 \, \text{m/s}^2 \). What is the gravitational potential energy of the object at a height of \( 5 \, \text{m} \)?
The resistance of a wire is \( 10 \, \Omega \) and the current passing through it is \( 2 \, \text{A} \). What is the potential difference across the wire?
A 1.5 kg object is moving with a velocity of \( 4 \, \text{m/s} \). What is its kinetic energy?
A 0.2 kg ball is thrown vertically upwards with an initial velocity of \( 10 \, \text{m/s} \). What is the maximum height reached by the ball? (Acceleration due to gravity \( g = 9.8 \, \text{m/s}^2 \))
A block of mass \( 5 \, \text{kg} \) is placed on a frictionless surface. If a force of \( 10 \, \text{N} \) is applied to the block, what will be the acceleration of the block?
A car travels a distance of 200 meters in 20 seconds. What is the average speed of the car?
What is the gravitational force between two objects of masses \( m_1 = 10 \, \text{kg} \) and \( m_2 = 20 \, \text{kg} \), separated by a distance of \( r = 5 \, \text{m} \)? (Gravitational constant \( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))
What is the frequency of a wave with a wavelength of \( 2 \, \text{m} \) and a velocity of \( 4 \, \text{m/s} \)?
What is the energy stored in a capacitor of capacitance \( C = 10 \, \mu\text{F} \) when a potential difference of \( V = 20 \, \text{V} \) is applied across it?
A charge of 2 $\mu C$ is placed in an electric field of intensity \( 4 \times 10^3 \, \text{N/C} \). What is the force experienced by the charge?
A 5-ohm resistor is connected to a 10 V battery. Calculate the current flowing through the resistor.
If the volume of the tetrahedron, whose vertices are \( A(1, 2, 3), B(-3, -1, 1), C(2, 1, 3) \) and \( D(-1, 2, x) \), is \( \frac{11}{6} \) cubic units, then the value of \( x \) is:
If the angle between the line \( 2(x + 1) = y = z \) and the plane \( 2x - y + \sqrt{2} z + 4 = 0 \) is \( \frac{\pi}{6} \), then the value of \( \lambda \) is:
The particular solution of the differential equation, \[ x y \frac{dy}{dx} = x^2 + 2y^2 \quad \text{when} \quad y(1) = 0 \quad \text{is:} \]
If y = tan-1 ((2 + 3x) / (3 - 2x)) + tan-1 (4x / (1 + 5x2)), then
dy/dx =
The area enclosed between the parabola \( y^2 = 4x \) and the line \( y = 2x - 4 \) is:
If cos(12/13) + sin(P), then the value of P is: