Melde's ExperimentHardQuestion 31352
Question
In Melde's transverse experiment, vibrator (200 Hz) makes string form 4 loops at tension T₁. At what tension T₂ will 5 loops form?
- AT₂ = 16T₁/25Correct
- BT₂ = 25T₁/16
- CT₂ = 4T₁/5
- DT₂ = 25T₁/16... is wrong
Correct answer
T₂ = 16T₁/25
Explanation
f = nv/(2L) = n√(T/μ)/(2L). Same f and L: n₁√T₁ = n₂√T₂. 4√T₁ = 5√T₂ → T₂/T₁ = 16/25. T₂ = 16T₁/25.