JEE Main · 2024 · 05 Apr 2024 · Shift 2 · Waves & Sound

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A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz when kept under some tension. The resonating length of the wire with fundamental frequency of 600 Hz under same tension ______ cm.

Answer: 60

Solution

Fundamental frequency of a stretched string:

f = \frac{v}{2 L}

, with

v = T / μ

fixed (same wire, same tension), so

f L = constant

L_{2} = \frac{f _{1} L _{1}}{f _{2}} = \frac{400 \times 90}{600} = 60 cm

JEE Main · 2024 · 05 Apr 2024 · Shift 2 · Integer answer

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