In an electrical circuit R, L, C and AC voltage source are all c

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 Multiple Choice QuestionsMultiple Choice Questions

221.

A, B and C are voltmeters of resistance R, 1.5 R  and 3R respectively as shown in the figure. When some potential difference is applied between X and Y, the voltmeter readings are VA, VB and Vc respectively then,



  • VA =VB =Vc

  • straight V subscript straight A space not equal to straight V subscript straight B space equals space straight V subscript straight C
  • straight V subscript straight A equals straight V subscript straight B space space not equal to space straight V subscript straight C
  • straight V subscript straight A equals straight V subscript straight B space space not equal to space straight V subscript straight C
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222.

The power dissipated in the circuit shiwn in the figure is 30 Watt. The value of R is

  • 20 Ω

  • 15Ω

  • 10Ω

  • 10Ω

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223.

A cell having an emf and internal resistance r is connected across a variable external resistance R. As the resistance R is increased, the plot of potential difference V across R is given by

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224.

In an electrical circuit R, L, C and AC voltage source are all connected in series when L is removed from the circuit, the phase difference between the voltage and the current in the circuit is π/3. If instead, Cis removed from the circuit, the phase difference is again π/3. The power factor of the circuit is

  • 1/2

  • 1 divided by square root of 2
  • 1

  • 1


C.

1

Here, phase difference

tan space straight ϕ space equals space fraction numerator straight X subscript straight L minus straight X subscript straight C over denominator straight R end fraction
tan straight pi over 3 space equals space fraction numerator straight X subscript straight L minus straight X subscript straight C over denominator straight R end fraction
When space straight L space is space removed
square root of 3 space equals space straight X subscript straight C over straight R
straight X subscript straight C space equals space square root of 3 straight R end root
When space straight C space is space removed
tan straight pi over 3 space equals space square root of 3 space equals space straight X subscript straight L over straight R
straight X subscript straight L space equals straight R square root of 3
Hence comma space in space resonant space circuit
tan space straight ϕ space equals space fraction numerator square root of 3 straight R end root minus square root of 3 straight R end root over denominator straight R end fraction space equals 0
straight ϕ space equals 0
therefore space Power space factor space cos space straight ϕ space equals space 1
It is a condition of resonance, therefore, phase difference between voltage and current is zero and power factor is cos Φ = 1.

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225.

A millivoltmeter of 25 mV range is to be converted into an ammeter of 25 A range. The value (in ohm) of necessary shunt will be

  • 0.001

  • 0.01

  • 1

  • 1

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226.

A ring is made of wire having a resistance Ro = 12Ω. Find the points A and B, as shown in the figure, at which a current carrying conductor should be connected so that the resistance R of the subcircuit between these points is equal to 8/3Ω

  • straight l subscript 1 over straight l subscript 2 space equals 5 over 8
  • straight l subscript 1 over straight l subscript 2 space equals space 1 third
  • straight l subscript 1 over straight l subscript 2 space equals space 3 over 8
  • straight l subscript 1 over straight l subscript 2 space equals space 3 over 8
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227.

The resistances in the two arms of the meter bridge are 5 ohm and R ohm, respectively. When the resistance  R is shunted with an equal resistance, the new balance point is at 1.6 l1. The resistance R is,

  • 10 ohm

  • 15 ohm

  • 20 ohm

  • 20 ohm

2389 Views

228.

A potentiometer circuit has been set up for finding the internal resistance of a given cell. The main battery, used across the potentiometer wire, has an emf of 2.0 V and a negligible internal resistance. The potentiometer wire itself is 4 m long. When the resistance R, connected across the given cell, has values of i) infinity ii) 9.5 ohm the balancing lengths on the potentiometer wire are found to be 3 m and 2.85 m, respectively. The value of internal resistance of the cell is,

  • 0.25 ohm

  • 0.95 ohm

  • 0.5 ohm

  • 0.5 ohm

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229.

In an ammeter 0.2 % of the main current passes through the galvanometer. If resistance of galvanometer is G, the resistance of ammeter will be,

  • 1/499 G

  • 499/500 G

  • 1/500 G

  • 1/500 G

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230.

In the circuit shown the cells A and B have negligible resistances. For VA = 12V, R1 = 500Ω and R = 100Ω the galvanometer (G) shows no deflection. The value of VB is

  • 4V

  • 2V

  • 12 V

  • 12 V

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