List of top Questions asked in UP Board XII

What is meant by mass-defect? In a nuclear fission reaction, find out the value of the fission energy \( Q \).
Draw energy level diagram for hydrogen atom. Show the transitions of the first line of Lyman series and second line of Balmer series. Find out the ratio of their wavelengths.
Two cells are of emf's \(E_1\) and \(E_2\) and their internal resistances are \(r_1\) and \(r_2\) respectively. They are joined in parallel to each other. Obtain the formula for the equivalent emf of this combination of cells.
Write down the formula for the force in vector form, acting on a moving charged particle in a uniform electric and magnetic fields. Obtain the formula for the radius of the path of the particle entering perpendicular to the magnetic field only. What is the law for the direction of force acting on the particle?
Derive the formula for the intensity of electric field on the bisector (equatorial line) of an electric dipole.
Derive the formula for the capacitance of a parallel plate capacitor, when a dielectric slab is partially filled in between its plates.
Draw a graph between de Broglie wavelength (\(\lambda\)) and momentum (\(p\)) of a moving particle. A proton and an \(\alpha\)-particle are accelerated by the same potential. Compute the ratio of their de Broglie wavelengths.
In the given figure, LCR circuit is shown. Voltage of the alternating current source is \( V = 100 \sin (500 t) \) volt. Calculate for the circuit:
What is meant by displacement current? The amplitude of electric field of an electromagnetic wave is \( E_0 = 120 \, \text{N/C} \) and frequency is \( \nu = 50 \, \text{MHz} \). Find out:
i) Amplitude of the magnetic field \( B_0 \) ii) Wavelength \( \lambda \) of the electromagnetic wave.
Mention the required conditions for the interference of light. In Young's double slit experiment, the intensity of light at a point on the screen is \( I \), when path difference is \( \lambda \) by using monochromatic light of wavelength \( \lambda \). Find the intensity of light at that point, where path difference is \( \frac{\lambda}{4} \).
What is meant by resonant circuit? Write down the required condition for the L-C-R series resonant circuit and expression for the frequency in resonant condition.
Hydrogen atom in its ground energy state absorbs a photon, which excites it to an energy level of \(n = 4\). Calculate the frequency of photon.
In between two crossed polaroids A and B, a third polaroid C is placed in such a way that its polarising axis makes an angle \( \theta \) from the polarising axis of the polaroid A. If the intensity of the transmitted light from the polaroid A is \( I_0 \), then find out the intensity of the polarised light transmitted from the polaroid B. For which angle \( \theta \) the intensity of the transmitted light will be maximum?
What is the principle of a moving coil galvanometer? Draw its neat labelled diagram. How is the sensitivity of the galvanometer increased?
What is the first law of Kirchhoff of the electrical circuit? Find out the potential difference between the ends of 2 \(\Omega\) resistor with the help of Kirchhoff's law. See the figure:
\includegraphics[width=0.5\linewidth]{image3.png}
The area of a plane coil 1000 turns is 500 cm\(^2\) and it is held perpendicular to a uniform magnetic field of \(4 \times 10^{-4}\) weber/m\(^2\). It is turned through 180° angle in 0.1 second. Calculate the average induced e.m.f. produced in the coil.
Obtain the formula for the intensity of electric field outside a charged thin spherical shell with the help of Gauss' law.
The stopping potential for the photoelectric current is obtained as 4 V for a metal surface by a monochromatic light of wavelength \( \lambda \), incident on it. The stopping potential becomes \(V\) for the incident light of wavelength \( 2\lambda \) on this surface. Find the formula of threshold wavelength \( \lambda_0 \) in terms of \( \lambda \).
Enunciate the difference between the conductors and semiconductors on the basis of energy bands in solids.
A \( 4 \, \Omega \) resistance wire is bent into a shape of a circle. What will be the effective resistance between the ends of its diameter?
Write down any two uses of microwaves.
What is meant by the wattless current?
The binding energy per nucleon of \(\alpha\)-particle (\(_2^4\text{He}\)) is 7 MeV. What is its total binding energy?
The unit of coefficient of self-inductance is:
What is Brewster's law?