Question

A wire of length 30 cm, stretched between rigid supports, has it’s n th and (n + 1)th harmonics at 400 Hz and 450 Hz, respectively. If tension in the string is 2700 N, its linear mass density is _____ kg/m.

Answer 1

The correct answer is 3
$\frac{v}{2l} = 50\ Hz$
$⇒ T = [100×(\frac{30}{100})]^2×µ$
$⇒ µ = \frac{2700}{900} = 3$
Therefore , linear mass density is 3 kg/m.