Question

A cord attached to a vibrating tuning fork is divided into six segments under tension of $36 \,N$. It will be divided into fowl segments, if the tension is:

• A. 48 N
• B. 81 N
• C. 24 N
• D. 16 N

Answer 1

Answer: (B)

81 N

Answer 2

From Melde's law
$P \sqrt{T}=$ constant
hence, $P_{1} \sqrt{T_{1}}=P_{2} \sqrt{T_{2}}$
$6 \times \sqrt{36}=4 \sqrt{T_{2}}$
$\sqrt{T_{2}}=9$
so $T_{2}=81$