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JEE Main & Advanced Sample Paper JEE Main Sample Paper-30

  • question_answer
    If the terminal speed of a sphere of gold (density \[=19.5\,kg/{{m}^{2}}\]) is \[0.2\,m/s\] in a viscous liquid (density \[=1.5\,kg/{{m}^{2}}\]), find the terminal speed of a sphere of silver (density \[=10.5\,kg/{{m}^{3}}\]) of the same size in the same liquid:

    A)  \[0.4\,m/s\]                 

    B)  \[0.133\,m/s\]

    C)  \[0.1\,m/s\]        

    D) \[0.2\,m/s\]

    Correct Answer: C

    Solution :

    \[{{v}_{T}}=\frac{2{{r}^{2}}({{\rho }_{0}}-{{\rho }_{1}})g}{9\eta }\] \[\frac{0.2}{{{v}_{T}}}=\frac{19.5-1.5}{10.5-1.5}=2\]


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