Two wires each of same material and same length have 2 : 1 ratio

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 Multiple Choice QuestionsMultiple Choice Questions

411.

A thin wire of resistance 4Ω is bent to form a circle. The resistance across any diameter is

  • 4 Ω

  • 2 Ω

  • 1 Ω

  • 8 Ω


412.

A battery of e.m.f. E and internal resistance r is connected to an external resistance R the condition for maximum power transfer is

  • r < R

  • r > R

  • r = 1/R

  • r = R


 Multiple Choice QuestionsShort Answer Type

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413.

Two wires each of same material and same length have 2 : 1 ratio of their radii. If the first wire has a resistance of 2 Ω then what will be the equivalent resistance of the two wires when they are connected in series ?


 We have R = ρlA = ρlπr2   R  1r2, where ρ, l are constant.   Given, R1 = 2 ΩR2R1 = r1r22   R2 = 212 × 2 = 8 Ω When they are in series, equivalent resistance   R= R1 + R2 = 10 Ω


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414.

What should be the resistance of an ideal ammeter and an ideal voltmeter ?


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415.

A 60 W- 220 V bulb is connected in series with another bulb 40 W-220 V. Which bulb will give more illuminance ?


416.

A wire of length 5 m is stretched by 1 mm by a force of 1 N. What is the value of energy stored in the wire ?


 Multiple Choice QuestionsMultiple Choice Questions

417.

One kg of copper is drawn into a wire of 1 mm diameter and a wire of 2 mm diameter. The resistance of the two wires will be in the ratio

  • 2 : 1

  • 1 : 2

  • 16 : 1

  • 4 : 1


418.

An electrical cable having a resistance of 0.2 Ω delivers 10 kW at 200 V DC to a factory. What is the efficiency of transmission ?

  • 65 %

  • 75 %

  • 85 %

  • 95 %


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419.

A wire of resistance 5 Ω is drawn out so that its new length is 3 times its original length. What is the resistance of the new wire ?

  • 45 Ω

  • 15 Ω

  • 5/3 Ω

  • 5 Ω


420.

Two identical cells each of emf E and internal resistance r are connected in parallel with an external resistance R. To get maximum power developed across R, the value of R is

  • R = r2

  • R = r

  • R = r3

  • R = 2r


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