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, it's linear mass density is...…

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, it's linear mass density is........kg/m.

Accepted Answer

Correct answer: 3. (3) nv0.6=400 \& (n+1)v0.6=450 ⇒( 0.6 400v+1) v0.6=450 ⇒v=30 ⇒ T =30 ⇒ 2700 =900= =3

$A wire of length 30 cm, stretched between rigid supports, has it's n^{t h} and (n + 1)^{t h} harmonics at 400 Hz and 450 Hz, respectively. If tension in the string is 2700 N, it's linear mass density is........kg/m.$

Solution

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