The resistance of a wire is quadrupled, when the length of the wire is doubled and diameter of wire is constant.

True

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False

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Solution

The correct option is B False
$R = ρ \frac{L}{A}$

$⟹ R = ρ \frac{4 L}{π d^{2}}$

On doubling length and no change in diameter.

$R \propto L$

Hence resistance becomes twice.

Given statement is $F a l s e$ .

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The resistance of a wire is quadrupled, when the length of the wire is doubled and diameter of wire is constant.

The correct option is B FalseR=ρLA⟹R=ρ4Lπd2On doubling length and no change in diameter.R∝LHence resistance becomes twice.Given statement is False.

The correct option is B False
$R = ρ \frac{L}{A}$

$⟹ R = ρ \frac{4 L}{π d^{2}}$

On doubling length and no change in diameter.

$R \propto L$

Hence resistance becomes twice.

Given statement is $F a l s e$ .