Question

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

• A. $2$
• B. $4$
• C. $8$
• D. $16$

Answer 1

Answer: (B)

$4$

$T{p}^2=constant$
$T_1{P}_1^2=T_2{p}_2^2$
$\frac{T_2}{T_1}=\frac{p_1^2}{p_2^2}$
$\Rightarrow \frac{p_1^2}{p_2^2}=4\Rightarrow p_2^2=\frac{p_1^2}{4}$
$\Rightarrow p_2^2=\frac{64}{4}=16$
$\Rightarrow p_2=4$