List of top Questions asked in Maharashtra Board Class XII Exam

What is the full form of IAA?
Expand the term ZIFT.
Identify the appropriate term for the number of births under ideal conditions:
Which one of the following does not evolve further?
Which of the following types require pollinator but result is genetically similar to autogamy?

Recognition sequences of restriction enzymes are generally ___________ nucleotides long. 
 

Which of the following is caused by an unsterilized needle?
Which of the following divides the nasal cavity?

In absence of fertilization, corpus luteum degenerates into __________. 
 

Which one of the following is not a part of lac operon?
Identify the growth hormone in plants which causes inhibitory effect.
An electric dipole consists of two opposite charges each of magnitude 1 µC, separated by 2 cm. The dipole is placed in an external electric field of \( 10^5 \, \text{N/C} \). Calculate the:
(i) maximum torque experienced by the dipole
(ii) work done by the external field to turn the dipole through 180°
On the basis of kinetic theory of gases, obtain an expression for pressure exerted by gas molecules enclosed in a container on its walls.
Derive an expression for energy stored in the magnetic field in terms of induced current.
Derive an expression for the work done during an isothermal process.
Obtain the relation between surface energy and surface tension.
Derive expressions for linear velocity at lowest position, mid-way position, and the top-most position for a particle revolving in a vertical circle, if it has to just complete circular motion without string slackening at the top.
With neat labelled circuit diagram, describe an experiment to study the characteristics of the photoelectric effect.
Explain the use of potentiometer to determine the internal resistance of a cell.
Explain the working of n-p-n transistor in common base configuration.
State the differential equation of linear S.H.M. Hence, obtain expression for:
(i) Acceleration
(ii) Velocity
Correct Answer: The differential equation of linear simple harmonic motion (S.H.M.) is \( m \frac{d^2x}{dt^2} = -kx \). From this, we can derive the expressions for acceleration and velocity.
Two tuning forks of frequencies 320 Hz and 340 Hz are sounded together to produce sound waves. The velocity of sound in air is 326.4 m/s. Calculate the difference in wavelengths of these waves.
In a biprism experiment, the fringes are observed in the focal plane of the eye-piece at a distance of 1.2 m from the slit. The distance between the central bright band and the 20th bright band is 0.4 cm. When a convex lens is placed between the biprism and the eye-piece, 90 cm from the eye-piece, the distance between the two virtual magnified images is found to be 0.9 cm. Determine the wavelength of light used.
Calculate the current flowing through two long parallel wires carrying equal currents and separated by a distance of 1.35 cm, experiencing a force per unit length of \( 4.76 \times 10^{-2} \, \text{N/m} \).
An alternating voltage given by \( e = 140 \sin (314.2 t) \) is connected across a pure resistor of 50 \(\Omega\). Calculate:
(i) the frequency of the source
(ii) the r.m.s current through the resistor