A. \(\dfrac{{{v_1}}}{{{v_2}}} = \dfrac{1}{{16}}\)
B. \(\dfrac{{{v_1}}}{{{v_2}}} = \dfrac{1}{9}\)
C. \(\dfrac{{{v_1}}}{{{v_2}}} = \dfrac{1}{{12}}\)
D. \(\dfrac{{{v_1}}}{{{v_2}}} = \dfrac{3}{4}\)
A
\({v_1} = \dfrac{{2\pi {R_1}}}{{{T_1}}};\,\,{v_2} = \dfrac{{2\pi {R_2}}}{{{T_2}}}\)
\(\Rightarrow \dfrac{{{v_1}}}{{{v_2}}} = \dfrac{{{R_1}}}{{{R_2}}}.\dfrac{{{T_1}}}{{{T_2}}} = \dfrac{3}{4}.\dfrac{1}{{12}} = \dfrac{1}{{16}}\)
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