The surface tension of a liquid is 70 dyne/cm70\text{ dyne/cm}70 dyne/cm. In MKS system its value is
70 N/m70\text{ N/m}70 N/m
7×10−2 N/m7 \times 10^{-2}\text{ N/m}7×10−2 N/m
7×103 N/m7 \times 10^3\text{ N/m}7×103 N/m
7×102 N/m7 \times 10^2\text{ N/m}7×102 N/m
To convert surface tension from CGS units (dyne/cm) to MKS/SI units (N/m), we apply the standard unit conversion factors : 1 N=105 dyne ⟹ 1 dyne=10−5 N1\text{ N} = 10^5\text{ dyne} \implies 1\text{ dyne} = 10^{-5}\text{ N}1 N=105 dyne⟹1 dyne=10−5 N 1 m=102 cm ⟹ 1 cm=10−2 m1\text{ m} = 10^2\text{ cm} \implies 1\text{ cm} = 10^{-2}\text{ m}1 m=102 cm⟹1 cm=10−2 m Therefore, 70 dyne/cm=70×10−5 N10−2 m=70×10−3 N/m=7×10−2 N/m70\text{ dyne/cm} = 70 \times \frac{10^{-5}\text{ N}}{10^{-2}\text{ m}} = 70 \times 10^{-3}\text{ N/m} = 7 \times 10^{-2}\text{ N/m}70 dyne/cm=70×10−2 m10−5 N=70×10−3 N/m=7×10−2 N/m.
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