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A quantity X is given by eta A(Delta v)/(Delta y) where eta is coefficient of viscosity of a fluid A is area Delta v is change in velocity and Delta y is change in height.The dimensional of formula for X is the same as that of |
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Answer» Explanation: The GIVEN equation is X = ηAΔv/Δy The DIMENSIONS of the QUANTITIES on RHS are η ⇒ M¹L⁻¹T⁻¹ A ⇒ M⁰L²T⁰ Δv ⇒ M⁰L¹T⁻¹ Δy ⇒ M⁰L¹T⁰ Therefore, dimension of X is given by X = (M¹L⁻¹T⁻¹)(M⁰L²T⁰)( M⁰L¹T⁻¹)(M⁰L¹T⁰)⁻¹ = (M¹L¹T⁻²) This is the dimension of force. Therefore X has same dimenson as Force. |
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