Two strings A and B of the same material are stretched on identical sonometer frames…

PHYSICS · Subjective · CBSE · Physics · Waves · Waves

Problem

Two strings A and B of the same material are stretched on identical sonometer frames under the same tension. String A is

0.90\,\text{m}

long with a linear mass density of

4.0\times10^{-3}\,\text{kg m}^{-1}

, while string B is

0.60\,\text{m}

long with a linear mass density of

9.0\times10^{-3}\,\text{kg m}^{-1}

. Calculate the ratio of their fourth harmonic frequencies

f_{4,\mathrm{A}} : f_{4,\mathrm{B}}