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Temperature dependence of resistivity ρ(T) of semiconductors, insulators and metals is significantly based on the following factors:
- number of charge carriers can change with temperature T.
- time interval between two successive collisions can depend on T.
- length of material can be a function of T.
- mass of carriers is a function of T.
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Two identical current carrying coaxial loops, carry current I in an opposite sense. A simple amperian loop passes through both of them once. Calling the loop as C ______.
- `oint B.dl = +- 2μ_0I`
- the value of `oint B.dl` is independent of sense of C.
- there may be a point on C where B and dl are perpendicular.
- B vanishes everywhere on C.
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The self inductance L of a solenoid of length l and area of cross-section A, with a fixed number of turns N increases as ______.
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Consider an infinitely long wire carrying a current I(t), with `(dI)/(dt) = λ` = constant. Find the current produced in the rectangular loop of wire ABCD if its resistance is R (Figure).

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Consider sunlight incident on a slit of width 104 A. The image seen through the slit shall ______.
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Consider sunlight incident on a pinhole of width 103A. The image of the pinhole seen on a screen shall be ______.
- a sharp white ring.
- different from a geometrical image.
- a diffused central spot, white in colour.
- diffused coloured region around a sharp central white spot.
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Photons absorbed in matter are converted to heat. A source emitting n photon/sec of frequency ν is used to convert 1 kg of ice at 0°C to water at 0°C. Then, the time T taken for the conversion ______.
- decreases with increasing n, with ν fixed.
- decreases with n fixed, ν increasing.
- remains constant with n and ν changing such that n ν = constant.
- increases when the product n ν increases.
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There are two sources of light, each emitting with a power of 100 W. One emits X-rays of wavelength 1 nm and the other visible light at 500 nm. Find the ratio of number of photons of X-rays to the photons of visible light of the given wavelength?
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Which one of the following cannot emit radiation and why? Excited nucleus, excited electron.
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In pair annihilation, an electron and a positron destroy each other to produce gamma radiation. How is the momentum conserved?
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A 220 V A.C. supply is connected between points A and B (figure). What will be the potential difference V across the capacitor?

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The output of the given circuit in figure is given below.

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To reduce the ripples in a rectifier circuit with capacitor filter ______.
- RL should be increased.
- input frequency should be decreased.
- input frequency should be increased.
- capacitors with high capacitance should be used.
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Draw the output waveform across the resistor (Figure).
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Assuming the ideal diode, draw the output waveform for the circuit given in figure. Explain the waveform.

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The temperature (T) dependence of resistivity of materials A and material B is represented by fig (i) and fig (ii) respectively. Identify material A and material B.
![]() fig. (i) |
![]() fig. (ii) |
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Two concentric and coplanar circular loops P and Q have their radii in the ratio 2:3. Loop Q carries a current 9 A in the anticlockwise direction. For the magnetic field to be zero at the common centre, loop P must carry ______.
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With the help of a circuit diagram, explain briefly how a p-n junction diode works as a half-wave rectifier.
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Give two differences between a half-wave rectifier and a full-wave rectifier.
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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 ______.
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