List of top Questions asked in Maharashtra Board Class XII Exam

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:
Prove that: \[ \int_0^{2a} f(x) dx = \int_0^a f(x) dx + \int_0^a f(2a - x) dx. \] Hence show that: \[ \int_0^\pi \sin x \,dx = 2 \int_0^{\pi/2} \sin x \,dx. \]
Prove that the acute angle \( \theta \) between the lines represented by the equation \[ ax^2 + 2hxy + by^2 = 0 \] is \[ \tan \theta = \left| \frac{2\sqrt{h^2 - ab}}{a + b} \right|. \] Hence find the condition that the lines are coincident.
Solve the following system of equations by the method of reduction: \[ x + y + z = 6, \quad y + 3z = 11, \quad x + z = 2y. \]
A die is thrown 6 times. If "getting an odd number" is a success, find the probability of 5 successes.
Find \( k \), if the probability density function is given by: \[ f(x) = kx^2(1 - x), \quad {for } 0<x<1, \] \[ = 0, \quad {otherwise.} \]
Solve the differential equation: \[ x \frac{dy}{dx} - y + x \sin \left(\frac{y}{x}\right) = 0. \]
Prove that: \[ \int \frac{1}{a^2 - x^2} dx = \frac{1}{2a} \log \left( \frac{a + x}{a - x} \right) + C. \]
Find the approximate value of \( \tan^{-1} (1.002) \). \[ {Given: } \pi = 3.1416. \]