A) \[16.95\times {{10}^{-9}}N\]
B) \[1.695\times {{10}^{-9}}N\]
C) \[10.17\times {{10}^{-9}}N\]
D) \[101.73\times {{10}^{-9}}N\]
Correct Answer: D
Solution :
The formula for viscous force is \[F=6\pi \eta r\upsilon \] Given: Here, viscosity \[\eta =18\times {{10}^{-5}}\text{poise = 18}\times {{10}^{-6}}kg/m\,sec\] Radius\[r=0.3\,mm=0.3\times {{10}^{-3}}m\] Velocity \[\upsilon =1m/s\] So,\[F=6\times 3.14\times 18\times {{10}^{-16}}\times 0.3\times {{10}^{-3}}\times 1\] \[=101.73\times {{10}^{-9}}N\]
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