Question

To increase the frequency from $100Hz$ to $400Hz$, the tension of string will be

• A. 4 times
• B. 16 times
• C. 20 times
• D. None of these

Answer 1

Answer: (B)

$n\propto \sqrt{T}$
$\therefore$ $\frac{T_1}{T_2}=\frac{n_1^2}{n_2^2}={\left(\frac{100}{400}\right)}^2=\frac{1}{16}$
$\Rightarrow$ $T_2=16T_1$