Two strings with circular cross section and made of same material

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

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 RR is v1v_1 , and that in the other string having radius of cross section R/2R/2 is v2v_2 . Then v2v1=\frac{v_2}{v_1} = (a) 2\sqrt{2} (b) 2 (c) 8 (d) 4

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