List of practice Questions

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 \( i_g \).
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:
The isotones pair of the following are:
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:
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.
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.
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.
Derive the formula for the electric field due to a uniformly charged straight wire of infinite length by using Gauss' 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.
Distance of the second dark fringe from the central maxima on the screen for \( 6000 \, \text{Å} \) wavelength.
Distance of the third bright fringe from the central maxima on the screen for \( 5000 \, \text{Å} \) wavelength.
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.
A point monochromatic source of light is placed at \( r \) distance from a photoelectric cell; then stopping potential is obtained as \( V \). What would be the effect on the stopping potential, when the same source is placed at \( 3r \) distance? Justify your answer.
Find out total electric potential energy of the system of charges, shown in the figure:
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 \( i \).
What are electromagnetic waves? Explain, with the help of a diagram, that these waves are transverse in nature.
Draw a labelled ray diagram of a compound microscope, when final image is formed at infinity. On which factors does the magnifying power of the microscope depend?
Energy level diagram of a certain atom is shown in the figure. The wavelength obtained in the emission transitions from level C to A is 1000 Å, and from C to B is 5000 Å. Calculate the wavelength emitted in the transition from B to A.
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.
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?
The capacitance of a charged capacitor is \( C \) farad and stored energy is \( U \) joule. Write the expression for charge on the plates of the capacitor.
What is the photoelectric effect?