Two strings with circular cross-section and made of same material, are stretched to have same amount of tension. A transverse wave is then made to pass through both the strings. The velocity of the wave in the first string having the radius of cross section R is \({v}_{1}\), and that in the other string having radius of cross section \(\frac{R}{2}\) is \({v}_{2}\). Then \(\frac{{v}_{2}}{{v}_{1}}=\)

[JEE Main 2025, 8 Apr (Shift 1)]

Question

Two strings with circular cross-section and made of same material, are stretched to have same amount of tension. A transverse wave is then made to pass through both the strings. The velocity of the wave in the first string having the radius of cross section R is \({v}_{1}\), and that in the other string having radius of cross section \(\frac{R}{2}\) is \({v}_{2}\). Then \(\frac{{v}_{2}}{{v}_{1}}=\)

[JEE Main 2025, 8 Apr (Shift 1)]

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