Physics

The dimensions of the coefficient of viscosity are :


ANSWER

$$ ML^{-1}T^{-1} $$


SOLUTION
Equation : $$F=-\eta Adv/dz$$
F=force, A=area,
$$\eta$$= coefficient of viscosity,
$$dv$$ is change in velocity when distance change by $$dz$$

$$\left[ \eta  \right] =\dfrac { \left[ F \right] \left[ dz \right]  }{ \left[ A \right] \left[ dv \right]  } =\dfrac { \left[ ML{ T }^{ -2 } \right] \left[ L \right]  }{ \left[ { L }^{ 2 } \right] \left[ L{ T }^{ -1 } \right]  }  $$

$$\left[ \eta  \right] =\left[ M{ L }^{ -1 }{ T }^{ -1 } \right] $$
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Single Correct Medium Published on 18th 08, 2020
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