Question

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​

Answer 1

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.