List of top Questions asked in UP Board XII- 2023

The refracting angle of three prisms is $15^\circ$, but their refractive indices are 1.6, 1.5, and 1.4 respectively. If angles of deviation produced by them are $\delta_1, \delta_2,$ and $\delta_3$ respectively, then:

A particle of mass $m$ moves with a speed $v$. Write down the formula of the corresponding de Broglie wavelength of the particle.

If actual angle of dip is $\theta$ and $\theta'$ is the angle of dip in a plane at an angle $\alpha$ from the magnetic meridian, then $\dfrac{\tan \theta'}{\tan \theta}$ is

Calculate the stored charge and potential difference between the plates in steady state for both the capacitors as shown in the circuit:

In an A.C. circuit, potential difference and current are given as, \[ V = 100 \sin(100t) \, \text{volts}, \quad i = 100 \sin\left(100t + \frac{\pi}{3}\right) \, \text{mA}. \] The power consumed in the circuit is:

Following are the resistances of the four sides of a Wheatstone bridge: AB = 100 \( \Omega \), BC = 10 \( \Omega \), CD = 5 \( \Omega \), DA = 60 \( \Omega \); resistance of galvanometer \( G = 15 \Omega \). Find the value of the current \( i_g \).

The amplitude of the magnetic field in an electromagnetic wave is $3 \times 10^{-10}$ T. If frequency of the wave is $10^{12}$ Hz, then the amplitude of the associated electric field is:

Explain the nuclear fusion process. What is its example in nature? If 4 neutrons and 3 protons are fused to form lithium \( {}_3^7 \text{Li} \) nucleus, then how much energy (in MeV) will be released?

Explain the working process of the amplifying action of an n-p-n transistor in common emitter configuration by making a circuit diagram and obtain the formula for voltage amplification.

Explain the working process of a forward biased p-n junction diode with the help of a circuit diagram. Show the dynamic resistance by making a graph between the forward voltage and forward current.

The isotones pair of the following are:

In the figure, currents are flowing in opposite directions in two parallel conductors. What should be the current \( I \) in the conductor X, so that the resultant magnetic field at the point P is zero? Current in the conductor Y is 10 ampere.

Two biconcave lenses of glass (\( n_g = \frac{3}{2} \)) of radius of curvature 10 cm are placed in contact. Water (\( n_w = \frac{4}{3} \)) is filled in between the lenses. Find the power and nature of the combined lens.

Distance of the third bright fringe from the central maxima on the screen for \( 5000 \, \text{Å} \) wavelength.

Distance of the second dark fringe from the central maxima on the screen for \( 6000 \, \text{Å} \) wavelength.

Derive the formula for the magnetic field at a point due to a current-carrying straight long conductor with the help of Ampere’s circuital law.

What is diffraction of light? Find the formula for the angular fringe width of the central maxima obtained in the diffraction pattern of monochromatic light by a single slit. Show the diagram of intensity distribution of light in the diffraction pattern.

As shown in the figure, a ray of light is incident at an angle of \( 45^\circ \) at the surface AB of the transparent slab. Find the value of the minimum refractive index \( n \) of the slab, when there is total internal reflection of the light ray at the vertical face BC.

Derive the formula for the electric field due to a uniformly charged straight wire of infinite length by using Gauss' law.

The minimum distance from the central maxima at which the two wavelengths coincide for the bright fringes produced.

Define 1 ampere on the basis of the force acting between two parallel current-carrying conductors.

A proton and an \( \alpha \)-particle enter perpendicularly in a uniform magnetic field with the same velocity. Find out the ratio of their period of revolutions.

The length of wingspan of an aeroplane is \( L \) meters and it is flying with a velocity of \( v \, \text{m/s} \) from north towards south. If the horizontal component of Earth's magnetic field is \( H \, \text{weber/m}^2 \) and induced e.m.f. produced between the ends of the wingspan is \( e \, \text{volt} \), then obtain the expression for the angle of dip at that place.

Obtain the formula for the resultant magnetic moment of the two concentric circular coils of radius \( r \), placed perpendicular to each other on passing the same current \( i \).

The resistance of wire AB as shown in the figure is \( 12000 \, \Omega \) and \( 220 \, \text{V} \) of potential difference is applied across it. Resistance of voltmeter \( V \) is \( 6000 \, \Omega \). The point C is at one-fourth distance from the point A. What is the reading of the voltmeter?