NEET Sample Paper NEET Sample Test Paper-4

  • question_answer
    A ball of mass m and radius r is released in viscous liquid. The value of its terminal velocity is proportional to:

    A)  only \[1/r\]                  

    B)  \[m/r\]

    C)  \[{{(m/r)}^{1/2}}\]            

    D)  only m

    Correct Answer: B

    Solution :

    As the term that velocity in a fluid is given by \[{{V}_{T}}=\frac{2}{9}\frac{{{r}^{2}}(P-\sigma )}{\eta }\,g\] \[=\frac{2}{9}\frac{({{r}^{3}}g)\,\left( 1-\frac{\sigma }{\rho } \right)\,g}{r\,n}\]             \[\therefore \]    \[{{V}_{T}}\propto \left( \frac{m}{r} \right)\]        \[(\because \,\,m\propto {{r}^{3}}\rho )\]


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