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Find free electrons per unit volume in a wire of density `10^(4)kg//m^(3)`, atomic mass number 100 and number of free electron per atom is one.

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To find the number of free electrons per unit volume in a wire with a given density, atomic mass, and number of free electrons per atom, we can follow these steps: ### Step-by-Step Solution: 1. **Identify Given Values:** - Density of the wire, \( \rho = 10^4 \, \text{kg/m}^3 \) - Atomic mass number, \( A = 100 \) - Number of free electrons per atom, \( n_e = 1 \) ...
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In a metal in the solid state, such as a copper wire, the atoms are strongly bound to one another and occupý fixed positions. Some electrons (called the conductor electrons) are free to move in the body of the metal while the other are strongly bound to their atoms. In good conductors, the number of free electrons is very large of the order of 10^(28) electrons per cubic metre in copper. The free electrons are in random motion and keep colliding with atoms. At room temperature, they move with velocities of the order of 10^5 m/s. These velocities are completely random and there is not net flow of charge in any directions. If a potential difference is maintained between the ends of the metal wire (by connecting it across a battery), an electric field is set up which accelerates the free electrons: These accelerated electrons frequently collide with the atoms of the conductor, as a result, they acquire a constant speed called the drift speed which is given by V_e = 1/enA where I = current in the conductor due to drifting electrons, e = charge of electron, n = number of free electrons per unit volume of the conductor and A = area of cross-section of the conductor. A uniform wire of length 2.0 m and cross-sectional area 10^(-7) m^(2) carries a current of 1.6 A. If there are 10^(28) free electrons per m in copper, the drift speed of electrons in copper is

In a metal in the solid state, such as a copper wire, the atoms are strongly bound to one another and occupý fixed positions. Some electrons (called the conductor electrons) are free to move in the body of the metal while the other are strongly bound to their atoms. In good conductors, the number of free electrons is very large of the order of 10^(28) electrons per cubic metre in copper. The free electrons are in random motion and keep colliding with atoms. At room temperature, they move with velocities of the order of 10^5 m/s. These velocities are completely random and there is not net flow of charge in any directions. If a potential difference is maintained between the ends of the metal wire (by connecting it across a battery), an electric field is set up which accelerates the free electrons: These accelerated electrons frequently collide with the atoms of the conductor, as a result, they acquire a constant speed called the drift speed which is given by V_e = 1/enA where I = current in the conductor due to drifting electrons, e = charge of electron, n = number of free electrons per unit volume of the conductor and A = area of cross-section of the conductor. A current of 1 A flows through a copper wire. The number of electrons passing through any cross-section of the wire in 1.6 sec is (charge of a electron = 1.6 xx 10^(-19 c) .

In a metal in the solid state, such as a copper wire, the atoms are strongly bound to one another and occupý fixed positions. Some electrons (called the conductor electrons) are free to move in the body of the metal while the other are strongly bound to their atoms. In good conductors, the number of free electrons is very large of the order of 10^(28) electrons per cubic metre in copper. The free electrons are in random motion and keep colliding with atoms. At room temperature, they move with velocities of the order of 10^5 m/s. These velocities are completely random and there is not net flow of charge in any directions. If a potential difference is maintained between the ends of the metal wire (by connecting it across a battery), an electric field is set up which accelerates the free electrons: These accelerated electrons frequently collide with the atoms of the conductor, as a result, they acquire a constant speed called the drift speed which is given by V_e = 1/enA where I = current in the conductor due to drifting electrons, e = charge of electron, n = number of free electrons per unit volume of the conductor and A = area of cross-section of the conductor. The drift speed of free electrons in a conductor depends upon

RESONANCE ENGLISH-CURRENT ELECTRICITY-High Level Problems (HIP)
  1. Find free electrons per unit volume in a wire of density 10^(4)kg//m^(...

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  2. A galvanometer having 30 divisions has a current sensitivity of 20 mu ...

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  3. A 100 V voltmeter of internal resistance 20 kOmega in series with a hi...

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  4. A perosn decides to use his bath tub water to generate electric power ...

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  5. A cell of emf 3.4 V and internal resistance 3 Omega is connected to an...

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  6. When a cell is conneted in a circuit, a current 1(1) flows in the circ...

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  7. A battery is made by joining m rows of identical cells in parallel. Ea...

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  8. In the circuit shown in figure, all wires have equal resistance r. Fin...

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  9. A galvanometer having a coil resistance of 100 Omega gives a full scal...

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  10. A 6V battery of negligible internasl resistance is connected across a ...

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  11. The emf (epsilon)and the internal resistance r of the battery shown in...

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  12. Consider an infinite ladder of network shown In fig 5.223. A voltage i...

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  13. Find the resistance R(AB) of the frame made of a thin wire. Assume tha...

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  14. A nichrome wire uniform cross-sectional area is bent to form a rectang...

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  15. A thin uniform wire AB of length 1 m, an unknown resistance X, and a r...

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  16. A thin wire of length L and cross-sectional area A oriented in the x-d...

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  17. A galvanometer vaving 50 divisions provided with a variable shunt S is...

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  18. Standard rating of each bulb is P, V. If total power consumption by co...

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  19. If the reading of ammeter A(1)in figure is 2.4 A, what will the ammete...

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  20. An ideal cell having a steady emf of 2 volt is connected across the po...

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