List of top Questions asked in MHT CET

In an electrochemical cell, the standard electrode potential of \( \text{Zn}^{2+}/\text{Zn} \) is \( -0.76 \, \text{V} \) and that of \( \text{Cu}^{2+}/\text{Cu} \) is \( +0.34 \, \text{V} \). What is the standard EMF of the cell formed by these electrodes?
What is the volume of oxygen required for complete combustion of 0.25 mole of methane at S.T.P.?
A particle is moving with a constant velocity of 5 m/s in a circular path of radius 2 m. What is the centripetal acceleration of the particle?
Solve for \( x \): \( \log_2 (x-1) = 3 \).
A galvanometer has resistance \( G = 100 \, \Omega \) and shows full-scale deflection at \( I_q = 1 \, \text{mA} \). To convert it into a voltmeter of range 5 V, what resistance should be connected in series?
A car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds. What is the car's acceleration?
Which trend is correct regarding ionic radius in the 4f-series (lanthanides)?
Two point charges \( +2 \, \mu\text{C} \) and \( -3 \, \mu\text{C} \) are placed 10 cm apart in vacuum. What is the electrostatic force between them?
Find the smallest angle of the triangle whose sides are \( 6 + \sqrt{12}, \sqrt{48}, \sqrt{24} \).
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 \( 50^\circ \text{C} \)?
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?
If \( A = \begin{bmatrix} 2 & 1
3 & 4 \end{bmatrix} \), then the determinant of matrix \( A \) is:
A block of mass \( 5 \, \text{kg} \) is placed on a horizontal surface. The coefficient of friction between the block and the surface is \( 0.4 \). What is the force of friction acting on the block?
A block slides down a smooth inclined plane, and its acceleration is found to be \( \frac{g}{8} \). If \( g \) is the acceleration due to gravity, what is the angle of inclination \( \theta \) of the plane?
What is the number of unpaired electrons in Lutetium (Lu) in the +3 oxidation state?
A body of mass \( 5 \, \text{kg} \) is placed on a frictionless inclined plane of angle \( 30^\circ \). What is the component of the weight of the body along the plane?
In an LC circuit, the inductance \( L \) is 2 H and the capacitance \( C \) is 4 μF. What is the frequency of oscillation of the circuit?
The electric field at a point in space is \( 2 \times 10^3 \, \text{N/C} \) and the potential at the same point is 100 V. What is the potential energy of a charge of 5 μC placed at that point?
Find the area of a triangle with vertices \( A(2, 3) \), \( B(5, 11) \), and \( C(8, 7) \).
A 1.5 kg block is placed on a frictionless surface and attached to a spring with a spring constant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the potential energy stored in the spring?
What is the molar concentration of hydrogen ions in a solution of $ 0.1 \, \text{M} $ $ \text{HCl} $?
The area enclosed between the parabola \( y^2 = 4x \) and the line \( y = 2x - 4 \) is:
What is the mass of sodium chloride (\( \text{NaCl} \)) formed when 0.5 moles of sodium (\( \text{Na} \)) reacts with excess chlorine (\( \text{Cl}_2 \))?
In the reaction \( 2 \, \text{H}_2 + \text{O}_2 \to 2 \, \text{H}_2\text{O} \), if 4 moles of hydrogen react completely with oxygen, how many moles of water will be produced?
Total pressure of the solution is 500, the partial pressure of component A is 400, and the partial pressure of component B is 575. What is the mole fraction of component B?