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Figure shows two circuits each having a galvanometer and a battery of 3V.
When the galvanometers in each arrangement do not show any deflection, obtain the ratio R1/R2.

Concept: Moving Coil Galvanometer
Define mutual inductance between two long coaxial solenoids. Find out the expression for the mutual inductance of inner solenoid of length l having the radius r1 and the number of turns n1 per unit length due to the second outer solenoid of same length and r2 number of turns per unit length.
Concept: Solenoid and the Toroid - the Solenoid
Write the expression for the force,`vecF` acting on a charged particle of charge ‘q’, moving with a velocity `vecV` in the presence of both electric field `vecF`and magnetic field `vecB` . Obtain the condition under which the particle moves undeflected through the fields.
Concept: Force on a Moving Charge in Uniform Magnetic and Electric Fields
A rectangular loop of size l × b carrying a steady current I is placed in a uniform magnetic field `vecB`. Prove that the torque `vectau`acting on the loop is give by `vectau =vecm xx vecB,`where `vecm` is the magnetic moment of the loop.
Concept: Torque on a Rectangular Current Loop in a Uniform Magnetic Field
Explain, giving reasons, the basic difference in converting a galvanometer into (i) a voltmeter and (ii) an ammeter?
Concept: Moving Coil Galvanometer
Two long straight parallel conductors carrying steady currents I1 and I2 are separated by a distance 'd'. Explain briefly, with the help of a suitable diagram, how the magnetic field due to one conductor acts on the other. Hence deduce the expression for the force acting between the two conductors. Mention the nature of this force.
Concept: Motion in a Magnetic Field
Draw a labelled diagram of a moving coil galvanometer and explain its working. What is the function of radial magnetic field inside the coil?
Concept: Moving Coil Galvanometer
Define the term ‘current sensitivity’ of a moving coil galvanometer.
Concept: Moving Coil Galvanometer
Beams of electrons and protons move parallel to each other in the same direction. They ______.
Concept: Force Between Two Parallel Currents, the Ampere
A long straight wire of radius 'a' carries a steady current 'I'. The current is uniformly distributed across its area of cross-section. The ratio of the magnitude of magnetic field `vecB_1` at `a/2` and `vecB_2` at distance 2a is ______.
Concept: Ampere’s Circuital Law
Two long parallel wires kept 2 m apart carry 3A current each, in the same direction. The force per unit length on one wire due to the other is ______.
Concept: Force Between Two Parallel Currents, the Ampere
The magnetic field through a circular loop of wire 12 cm in radius and 8.5 Ω resistance, changes with time as shown in the figure. The magnetic field is perpendicular to the plane of the loop. Calculate the induced current in the loop and plot it as a function of time.

Concept: Magnetic Field Intensity Due to a Magnetic Dipole (Bar Magnet) Perpendicular to Its Axis
Give two points to distinguish between a paramagnetic and a diamagnetic substance ?
Concept: Magnetisation and Magnetic Intensity
The horizontal component of the earth’s magnetic field at a place is B and angle of dip is 60°. What is the value of vertical component of earth’s magnetic field at equator?
Concept: The Earth’s Magnetism
Name the electromagnetic waves which (i) maintain the Earth’s warmth and (ii) are used in aircraft navigation.
Concept: The Earth’s Magnetism
State Gauss’s law in electrostatics. A cube which each side ‘a’ is kept is an electric field given by `vecE` = C × l. (as is shown in the figure where C is a positive dimensional constant. Find out

(i) The electric flux through the cube, and
(ii) The net charge inside the cube.
Concept: Magnetism and Gauss’s Law
A conducting rod held horizontally along East- West direction is dropped from rest from a certain height near the Earth’s surface. Why should there be an induced emf across the end of the rod? Draw a plot showing the instantaneous variation of emf as a function of time from the instant it begins to fall.
Concept: The Earth’s Magnetism
An electric dipole of dipole moment `vecP` is placed in a uniform electric field `vecE` with its axis inclined to the field. Write an expression for the torque `vecT` experienced by the dipole in vector form. Show diagrammatically how the dipole should be kept in the electric field so that the torque acting on it is:
- maximum
- Zero
Concept: Dipole in a Uniform External Field
Answer the following question.
Write the four important properties of the magnetic field lines due to a bar magnet.
Concept: The Bar Magnet
Answer the following question.
Write three points of differences between para-, dia- and ferromagnetic materials, giving one example for each.
Concept: Magnetic Properties of Materials
