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Find the dimensional formulae of the fol...

Find the dimensional formulae of the following quantities:
a. the universal constant of gravitation G,
b. the surface tension S,
c. the thermal conductivity k and
d. the coeficient of viscosity `eta`.
Some equation involving these quantities are
`F=(Gm_1m_2)/r^2, S= (rho g r h)/2,`
`Q=k(A(theta_2-theta_1)t)/d and F=- eta A (v_2-v_1)/(x_2-x_1)`
where the symbols have their usual meanings.

Text Solution

AI Generated Solution

To find the dimensional formulae of the given quantities, we will use the provided equations and analyze the dimensions step by step. ### a. Universal Constant of Gravitation (G) **Step 1:** Start with the equation for gravitational force: \[ F = \frac{G m_1 m_2}{r^2} \] **Step 2:** Rearrange the equation to solve for \( G \): ...
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