A wire of resistance R divided in 10 equal parts. These parts are connected in parallel. Then resistance equivalent is

0.01 R

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0.1 R

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10 R

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100 R .

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Solution

The correct option is A $0.01 R$
Resistance of a wire is proportional to its length. The wire is cut into 10 equal parts. So, resistance of each part = $\frac{R}{10}$

Then all 10 wires are connected in parallel. Then the equivalent resistance is

$\frac{1}{R_{e q}} = \frac{1}{\frac{R}{10}} + \frac{1}{\frac{R}{10}} + . . . . . . . . . (10 t i m e s)$

$\frac{1}{R_{e q}} = \frac{100}{R}$

$R_{e q} = \frac{R}{100}$

$R_{e q} = 0.01 R$

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A wire of resistance R divided in 10 equal parts. These parts are connected in parallel. Then resistance equivalent is

The correct option is A 0.01RResistance of a wire is proportional to its length. The wire is cut into 10 equal parts. So, resistance of each part =R10 Then all 10 wires are connected in parallel. Then the equivalent resistance is 1Req=1R10+1R10+.........(10times) 1Req=100R Req=R100 Req=0.01R