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How does one explain, using de Broglie hypothesis, Bohr's second postulate of quantization of orbital angular momentum?
Concept: De Broglie’s Explanation of Bohr’s Second Postulate of Quantisation
The equivalent wavelength of a moving electron has the same value as that of a photon of energy 6 × 10–17 J. Calculate the momentum of the electron.
Concept: Heisenberg and De Broglie Hypothesis
Obtain the relation between the decay constant and half life of a radioactive sample.
Concept: Law of Radioactive Decay
Draw a plot of potential energy of a pair of nucleons as a function of their separations. Mark the regions where the nuclear force is (i) attractive and (ii) repulsive.
Concept: Nuclear Force
For a CE-transistor amplifier, the audio signal voltage across the collector resistance of 2 kΩ is 2 V. Suppose the current amplification factor of the transistor is 100, find the input signal voltage and base current if the base resistance is 1 kΩ.
Concept: Junction Transistor >> Transistor as an Amplifier (Ce-configuration)
Explain with the help of a diagram, how depletion region and potential barrier are formed in a junction diode.
Concept: Special Purpose P-n Junction Diodes
Draw the circuit diagram of a half wave rectifier and explain its working.
Concept: Application of Junction Diode as a Rectifier
Draw the circuit diagram of a full wave rectifier.
Concept: Application of Junction Diode as a Rectifier
Write the functions of the following in communication systems:
Transmitter
Concept: Basic Terminology Used in Electronic Communication Systems
Write the functions of the following in communication systems:
Receiver
Concept: Basic Terminology Used in Electronic Communication Systems
Use Gauss's law to find the electric field due to a uniformly charged infinite plane sheet. What is the direction of field for positive and negative charge densities?
Concept: Uniformly Charged Infinite Plane Sheet and Uniformly Charged Thin Spherical Shell (Field Inside and Outside)
The field lines of a negative point charge are as shown in the figure. Does the kinetic energy of a small negative charge increase or decrease in going from B to A?
Concept: Electric Field >> Electric Field Intensity Due to a Point-Charge
What is the electric flux through a cube of side 1 cm which encloses an electric dipole?
Concept: Electric Flux
An electric dipole of dipole moment`vecp` consists of point charges +q and −q separated by a distance 2a apart. Deduce the expression for the electric field `vecE` due to the dipole at a distance x from the centre of the dipole on its axial line in terms of the dipole moment `vecp`. Hence show that in the limit x>> a, `vecE->2vecp"/"(4piepsilon_0x^3)`
Concept: Electric Dipole
Given the electric field in the region `vecE=2xhati`, find the net electric flux through the cube and the charge enclosed by it.
Concept: Electric Flux
A thin metallic spherical shell of radius R carries a charge Q on its surface. A point charge`Q/2` is placed at its centre C and an other charge +2Q is placed outside the shell at a distance x from the centre as shown in the figure. Find (i) the force on the charge at the centre of shell and at the point A, (ii) the electric flux through the shell.
Concept: Uniformly Charged Infinite Plane Sheet and Uniformly Charged Thin Spherical Shell (Field Inside and Outside)
"For any charge configuration, equipotential surface through a point is normal to the electric field." Justify.
Concept: Applications of Gauss' Theorem
Deduce the expression for the torque acting on a dipole of dipole moment `vecp` in the presence of a uniform electric field `vecE`
Concept: Dipole in a Uniform External Field
Consider two hollow concentric spheres, S1 and S2, enclosing charges 2Q and 4Q respectively as shown in the figure. (i) Find out the ratio of the electric flux through them. (ii) How will the electric flux through the sphere S1 change if a medium of dielectric constant 'εr' is introduced in the space inside S1 in place of air ? Deduce the necessary expression
Concept: Electric Flux
