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Answer the following question.
Two bulbs are rated (P1, V) and (P2, V). If they are connected (i) in series and (ii) in parallel across a supply V, find the power dissipated in the two combinations in terms of P1 and P2.
Concept: Cells in Series
Solve the following question.
Using Kirchhoff’s rules, calculate the current through the 40 Ω and 20 Ω resistors in the following circuit.

Concept: Kirchhoff’s Laws
Answer the following question.
What is the end error in a meter bridge? How is it overcome? The resistances in the two arms of the metre bridge are R = Ω and S respectively. When the resistance S is shunted with equal resistance, the new balance length found to be 1.5 l1, where l2 is the initial balancing length. calculate the value of s.

Concept: Cells, Emf, Internal Resistance
The ______, a property of materials C, Si, and Ge depends upon the energy gap between their conduction and valence bands.
Concept: Specific Resistance
A conductor of length ‘l’ is rotated about one of its ends at a constant angular speed ‘ω’ in a plane perpendicular to a uniform magnetic field B. Plot graphs to show variations of the emf induced across the ends of the conductor with
- angular speed ω and
- length of the conductor l.
Concept: Cells, Emf, Internal Resistance
A current of 0.8 A flows in a conductor of 40 Ω for 1 minute. The heat produced in the conductor will be ______.
Concept: Ohm's Law
A cell of emf E is connected across an external resistance R. When current 'I' is drawn from the cell, the potential difference across the electrodes of the cell drops to V. The internal resistance 'r' of the cell is ______.
Concept: Cells, Emf, Internal Resistance
Define relaxation time.
Concept: Drift of Electrons and the Origin of Resistivity
Derive an expression for resistivity of a conductor in terms of the number density of charge carriers in the conductor and relaxation time.
Concept: Drift of Electrons and the Origin of Resistivity
Obtain an expression for the energy stored in a solenoid of self-inductance ‘L’ when the current through it grows from zero to ‘I’.
Concept: Solenoid and the Toroid - the Solenoid
Find the condition under which the charged particles moving with different speeds in the presence of electric and magnetic field vectors can be used to select charged particles of a particular speed.
Concept: Motion in a Magnetic Field
Two identical circular coils, P and Q each of radius R, carrying currents 1 A and √3A respectively, are placed concentrically and perpendicular to each other lying in the XY and YZ planes. Find the magnitude and direction of the net magnetic field at the centre of the coils.
Concept: Magnetic Field on the Axis of a Circular Current Loop
Can a galvanometer as such be used for measuring the current? Explain.
Concept: Moving Coil Galvanometer
A neutron, an electron and an alpha particle, moving with equal velocities, enter a uniform magnetic field going into the plane of the paper, as shown. Trace their paths in the field and justify your answer.

Concept: Force on a Moving Charge in Uniform Magnetic and Electric Fields
Sketch a schematic diagram depicting oscillating electric and magnetic fields of an em wave propagating along + z-direction ?
Concept: Motion in a Magnetic Field
Two long straight parallel conductors 'a' and 'b', carrying steady currents Ia and Ib are separated by a distance d. Write the magnitude and direction of the magnetic field produced by the conductor 'a' at the points along the conductor 'b'. If the currents are flowing in the same direction, what is the nature and magnitude of the force between the two conductors?
Concept: Force Between Two Parallel Currents, the Ampere
Show with the help of a diagram how the force between the two conductors would change when the currents in them flow in the opposite directions?
Concept: Motion in a Magnetic Field
Two infinitely large plane thin parallel sheets having surface charge densities σ1 and σ2 (σ1 > σ2) are shown in the figure. Write the magnitudes and directions of the net fields in the regions marked II and III.

Concept: Force Between Two Parallel Currents, the Ampere
The motion of copper plate is damped when it is allowed to oscillate between the two poles of a magnet. What is the cause of this damping?
Concept: Motion in a Magnetic Field
