List of top Questions asked in Maharashtra Board Class XII Exam

Obtain the differential equation of linear simple harmonic motion.

Define magnetization. State its SI unit and dimensions.
 

Explain the construction of a spherical wavefront by using Huygens' principle. 

Two capacitors of capacities \(5 \, \mu{F} \) and \( 10 \, \mu{F} \)F respectively are connected in series. Calculate the resultant capacity of the combination.
In a photoelectric experiment, the stopping potential is 1.5V. What is the maximum kinetic energy of a photoelectron?
What is meant by surroundings in thermodynamics?
What is the binding energy of a hydrogen atom?
Write the formula for torque acting on a rotating current-carrying coil in terms of magnetic dipole moment, in vector form.
What is the resistance of an ideal voltmeter?
Why is detergent powder mixed with water to wash clothes?
Define centripetal force.
In biprism experiment, the distance of the 20th bright band from the central bright band is 1.2 cm. Without changing the experimental set-up, the distance of the 30th bright band from the central bright band will be:
The velocity of the bob of a second’s pendulum when it is 6 cm from its mean position and amplitude of 10 cm is:
The current in a coil changes from 50A to 10A in 0.1 second. The self-inductance of the coil is 20H. The induced e.m.f. in the coil is:
In a cyclic process, if \( \Delta U \) = internal energy, \( W \) = work done, \( Q \) = Heat supplied, then:
If the frequency of incident light falling on a photosensitive material is doubled, then kinetic energy of the emitted photoelectron will be:
To convert a moving coil galvanometer into an ammeter, we need to connect a:
The work done in bringing a unit positive charge from infinity to a given point against the direction of electric field is known as:
Phase difference between a node and an adjacent antinode in a stationary wave is:
The dimensional formula of surface tension is:
The moment of inertia (MI) of a disc of radius \( R \) and mass \( M \) about its central axis is:
Explain the change in internal energy of a thermodynamic system (the gas) by heating it.
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Prove that: \[ \int_0^{2a} f(x) dx = \int_0^a f(x) dx + \int_0^a f(2a - x) dx. \] Hence show that: \[ \int_0^\pi \sin x \,dx = 2 \int_0^{\pi/2} \sin x \,dx. \]
Evaluate: \[ I = \int \frac{5e^x}{(e^x + 1)(e^{2x} + 9)} \, dx. \]
A box with a square base is to have an open top. The surface area of the box is 147 cm\(^2\). What should its dimensions be in order that the volume is largest?