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Write two important advantages of reflecting telescope over a refracting telescope.
Concept: Optical Instruments: Telescope
Why are infra-red waves often called heat waves? Explain.
Concept: Electromagnetic Spectrum
Use Gauss' law to derive the expression for the electric field `(vecE)` due to a straight uniformly charged infinite line of charge density λ C/m.
Concept: Applications of Gauss’s Law
Write the S.I. unit of mutual inductance.
Concept: Inductance > Mutual Inductance
State the two Kirchhoff’s rules used in electric networks. How are there rules justified?
Concept: Kirchhoff’s Rules
In a single slit diffraction experiment, the width of the slit is made double the original width. How does this affect the size and intensity of the central diffraction band?
Concept: Diffraction of Light > The Single Slit
Give the truth table and circuit symbol for NAND gate
Concept: Digital Electronics and Logic Gates
Define electric flux.
Concept: Electric Flux
If the point charge is now moved to a distance 'd' from the centre of the square and the side of the square is doubled, explain how the electric flux will be affected.
Concept: Applications of Gauss’s Law
Draw a graph to show the variation of E with perpendicular distance r from the line of charge.
Concept: Applications of Gauss’s Law
Find the work done in bringing a charge q from perpendicular distance r1 to r2 (r2 > r1)
Concept: Applications of Gauss’s Law
Four point charges Q, q, Q and q are placed at the corners of a square of side 'a' as shown in the figure.
Find the
1) resultant electric force on a charge Q, and
2) potential energy of this system.
Concept: Potential Energy of a System of Charges
Two electric bulbs P and Q have their resistances in the ratio of 1 : 2. They are connected in series across a battery. Find the ratio of the power dissipation in these bulbs
Concept: Combination of Resistors - Series and Parallel
A 10 V cell of negligible internal resistance is connected in parallel across a battery of emf 200 V and internal resistance 38 Ω as shown in the figure. Find the value of current in the circuit.
Concept: Cells, Emf, Internal Resistance
Define the term 'conductivity' of a metallic wire. Write its SI unit.
Concept: Electrical Resistivity and Conductivity
A proton and an electron travelling along parallel paths enter a region of uniform magnetic field, acting perpendicular to their paths. Which of them will move in a circular path with higher frequency?
Concept: Motion in Combined Electric and Magnetic Fields > Cyclotron
A bar magnet of magnetic moment 6 J/T is aligned at 60° with a uniform external magnetic field of 0·44 T Calculate
a) the work done in turning the magnet to align its magnetic moment
i) normal to the magnetic field,
ii) opposite to the magnetic field, and
b) the torque on the magnet in the final orientation in case (ii).
Concept: Magnetic Diapole
An iron ring of relative permeability µr has windings of insulated copper wire of n turns per meter. When the current in the windings is I, find the expression for the magnetic field in the ring.
Concept: Solenoid and the Toroid - the Toroid
The susceptibility of a magnetic material is 0·9853. Identify the type of magnetic material. Draw the modification of the field pattern on keeping a piece of this material in a uniform magnetic field.
Concept: Magnetic Properties of Materials