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.

JEE Main 2022 Physics question

A wire of length 30 cm, stretched between rigid supports, has it's and harmonics at 400 Hz and 450 Hz, respectively. If tension in the string is 2700 N, it's linear mass density is kg/m.

Answer: 3

Solution

The difference of consecutive harmonics is the fundamental frequency: \ell$ = 450 - 400 =

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Question ID VK-034292