JEE Main & Advanced JEE Main Paper (Held On 19 April 2014)

  • question_answer
    The velocity of water in a river is 18 km/h near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The co-efficient of viscosity of water \[={{10}^{-2}}\] poise.    JEE Main Online Paper (Held On 19 April 2016)

    A) \[{{10}^{-1}}N/{{m}^{2}}\]                          

    B) \[{{10}^{-2}}N/{{m}^{2}}\]

    C) \[{{10}^{-3}}N/{{m}^{2}}\]                          

    D) \[{{10}^{-4}}N/{{m}^{2}}\]

    Correct Answer: B

    Solution :

    \[\eta ={{10}^{-2}}\] poise \[v=18km/h=\frac{18000}{3600}=5m/s\] \[l=5m\]Strain rate \[=\frac{v}{l}\] Coefficient of viscosity, \[\eta =\frac{\text{shearing}\,\text{stress}}{\text{strain}\,\text{rate}}\] \[\therefore \]shearing stress \[=\eta \times \]strain rate \[={{10}^{-2}}\times \frac{5}{5}={{10}^{-2}}N{{m}^{-2}}\]


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