Current Electricity MCQs for NEET — Physics Questions with Answers

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The resistance of hot tungsten filament is about 10 times the cold resistance. What will be the resistance of 100 W and 200 V lamp when not in use?

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Explanation

When the filament is hot, R=V2P=200×200100=400 Ω

Hence, when cold, the resistance is 40 Ω.

Two electric bulbs A and B are rated 60 W and 100 W, respectively. If they are connected in parallel to the same source, then,

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Explanation

Given PA=60 W, PB=100 W. We know that current flowing through the bulb is I = P/V. We also know that as both the bulbs are connected in parallel, potential difference (V) across both the bulbs is the same. Thus, I α P. Since the power of bulb B is greater than that of bulb A, bulb B draws more current than bulb A.

A factory is served by a 220 V supply line. In a circuit protected  by a fuse marked 10 A, the maximum number of 100 W lamps in parallel that can be turned on is :

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Explanation

The current required by each bulb is :

I=PV=100220A

If n bulbs are joined in parallel, then,

nI=Ifuse or n×100220=10 or n=22.

A 100 W bulb designed to operate on 100 V is to be connected across a 500 V source. Find the resistance to be put in series so that bulb consumes 100 W only.

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The resistance of an ideal voltmeter is 

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Explanation

The resistance of an ideal voltmeter is considered as infinite.

The net resistance of a voltmeter should be large to ensure that :

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Explanation

The resistance of voltmeter is too high, so that it draws negligible current from the circuit, hence potential drop in the external circuit is also negligible.

A voltmeter of resistance 1000 Ω gives full-scale deflection when a current of 100 mA flow through it. The shunt resistance required across it to enable it to be used as an ammeter reading 1 A at full-scale deflection is :

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Explanation

By using iig=1+GS

i100×103=1+1000S

S=10009=111Ω 

A galvanometer has 30 divisions and a sensitivity 16μA/div. It can be converted into a voltmeter to read 3 V by connecting (approximately):

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In a circuit, 5 percent of total current passes through a galvanometer. If the resistance of the galvanometer is G then the value of the shunt is :

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Explanation

igi=SG+S

5100=SG+S

S=G19

A voltmeter has a range 0-V with a series resistance R. With a series resistance 2R, the range is 0-V'. The correct relation between V and V' is :

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Explanation

For conversion of galvanometer (of resistances) into voltmeter, a resistance R is connected in series.

ig=VR+G and ig=V'2R+G

VR+G=V'2R+GV'V=2R+GR+G=2(R+G)G(R+G)

=2G(R+G)V'=2VVG(R+G)V'<2V 

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