A simple pendulum of length l performs small‐amplitude oscillations so that its time period is given by the relation
T=2πgl
where g is the acceleration due to gravity.
a. (i) Write the dimensional formulas of (a) length l and (b) acceleration due to gravity g.
b. (ii) Using dimensional analysis, show that the above expression for T is dimensionally consistent.
c. (iii) A student proposes an alternative relation T=2πlg. Use dimensional reasoning to justify why this expression cannot be correct.