Two wires are kept right between the same pair of supports. The tensions in the wires are in the ratio , the radii are in the ratio and the densities are in the ratio . Find the ratio of their fundamental frequencies.
Step 1: Given
Ratio of tensions in the wire:
Ratio of radii of the wire:
Ratio of densities of the wire:
Step 2: Formula Used
Step 3: Find the ratio of frequencies
Find an expression for the ratio of frequencies by using the formulas
Calculate the ratio of frequencies by substituting the values
Hence, the ratio of their fundamental frequencies is .