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QJEEM22Phab24: JEE Main 2022 Physics - Class 11 JEEM22Phab24 Solution: A wire of length 30 cm, stretched between rigid supports, has…

A wire of length 30 cm, stretched between rigid supports, has it's nth 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.

Step-by-Step Verified Solution

v2l=50{v \over {2l}} = 50 Hz

⇒T=[100×(30100)]2×μ\Rightarrow T = {\left[ {100 \times \left( {{{30} \over {100}}} \right)} \right]^2} \times \mu

⇒μ=2700900=3\Rightarrow \mu = {{2700} \over {900}} = 3

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