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281.

Kirchhoff's law of junction, ΣI = 0, is based on

  • conservation of energy

  • conservation of charge

  • conservation of energy as well as charge

  • conservation of momentum


B.

conservation of charge

Kirchhoff's first law states that in an electric circuit, the algebraic sum of the currents meeting at any junction in the circuit is zero.

        

i.e         Σ i = 0

Hence, according to Kirchhoff's law

      i1 + i2 = i3 + i4 + i5

Thus, the sum of currents flowing towards the junction is equal to the sum of the currents flowing away from the junction. In other words, when a steady current flows in a circuit, then there is neither any accumulation of charge at any point in the circuit, nor any charge is removed from there.

Thus, Kirchhoff's first law expresses the conservation of charge.


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282.

A battery of emf 10 V and internal resistance of 0.5 ohm is connected across a variable resistance R. The maximum value of R is given by

  • 0.5 Ω

  • 1.00 Ω

  • 2.0 Ω

  • 0.25 Ω


283.

The internal resistance of a primary cell is 42. It generates a current of 0.2 A in an external resistance of 21 n. The rate at which chemical energy to consumed in providing current is

  • 1 J/s

  • 5 J/s

  • 0.42 J/s

  • 0.8 J/s


284.

The equivalent resistance across A and B is

  • 2 Ω

  • 3 Ω

  • 4 Ω

  • 5 Ω


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285.

At room temperature, copper has free electron density of 8.4 x 1028 m-3, The electron drift velocity in a copper conductor of cross-sectional area of 10-6 m2 and carrying a current of 5.4 A, will be

  • 4 ms-1

  • 0.4 ms-1

  • 4 cm s-1

  • 0.4 mm s-1


286.

A uniform wire of resistance R and length L is cut into four equal parts, each of length  L/4 which are then connected in parallel combination. The effective resistance of the combination will be

  • R

  • 4R

  • R4

  • R16


287.

A 5 amp fuse wire can withstand a maximum power of 1 W in circuit. The resistance of the fuse wire is

  • 0.2 Ω

  • 5 Ω

  • 0.4 Ω

  • 0.04 Ω


288.

When plate voltage in diode valve is increased from 100V to 150V. Then, plate increases from 7.5 mA to 12 mA, then dynamic plate resistance will be

  • 10 kΩ

  • 11 kΩ

  • 15 kΩ

  • 11.1 kΩ


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289.

Find equivalent resistance between X and Y

         

  • R

  • R/L

  • 2R

  • 5R


290.

A engine pumps up 100 kg of water through a height of 10 m in 5s. Given that, the efficiency of engine is 60%. If g = 10 ms-2, the power of this engine is

  • 3.3 kW

  • 0.33 kW

  • 0.033 kW

  • 33 kW


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