For a sonometer, F ∝\propto∝ T\sqrt{T}T
F = k T\sqrt{T}T
F1_11 = 50Hz, F2_22 = ?
T1_11 = T, T2_22 = 4T
F1T1= F2T2\; \frac{F_1}{\sqrt{T_1}} = \; \frac{F_2}{\sqrt{T_2}}T1F1=T2F2
50T= F24T\; \frac{50}{\sqrt{T}} = \; \frac{F_2}{\sqrt{4T}}T50=4TF2
F2_22 = 50×2×TT\; \frac{50 \times 2 \times \sqrt{T}}{\sqrt{T}}T50×2×T
F2_22 = 100Hz
