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Melde's experiment - class-XI

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In Melde's experiment, eight loops are formed with a tension of $0.75\space N$. If the tension is increased to four times then the number of loops produces will be

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A
$4$
💡 Explanation:

$Tp^2=constant$
$T _1P _1^2=T _2p _2^2$
$\dfrac{T _2}{T _1}=\dfrac{p _1^2}{p _2^2}$
$\Rightarrow \dfrac{p _1^2}{p _2^2}=4\Rightarrow p _2^2=\dfrac{p _1^2}{4}$
$\Rightarrow p _2^2=\dfrac{64}{4}=16$
$\Rightarrow p _2=4$

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