Question

Dimensions of \(G\) (Universal gravitational constant) in terms of \(h\) (Planck's constant), \(m\) (mass), \(t\) (time) and \(L\) (length) will be:

• A. \(h^{-1}Lm^{-2}t\)
• B. \(hL^{-1}m^{2}t\)
• C. \(hLm^{-2}t^{-1}\)
• D. \(h^{-1}L^{-1}m^{2}t^{-1}\)

Hint:

When expressing one physical constant in terms of others: \begin{itemize} \item Write dimensional formulas \item Assume power relation \item Equate powers of \(M, L, T\) \end{itemize}

Answer 1

The Correct Option is C