Question

Which of the following relation cannot be derived using dimensional analysis (Neglect value of constant) –

• A. v = $\sqrt{F/\mu}$
• B. T = 2π$\sqrt{\frac{\mathcal{l}}{g}}$
• C. F = 6π η rv d
• D. F = $\frac{Gm_{1}m_{2}}{r^{2}}$

Answer 1

Answer: (D)

F = $\frac{Gm_{1}m_{2}}{r^{2}}$

Answer 2

Because constant involved (G) is not dimensionless.