1. There are stars whose brightness varies periodically. These stars are called pulsating stars. An astronomer hypothesizes that the time taken t for the star to undergo one oscillation depends on the star’s density ρ, the star’s radius r and Newton’s Gravitational constant G. Newton’s Gravitational constant G has dimensions M-1L3T-2. A. i. State the dimension of t.
ii. Determine the dimension of ρ.
iii. State the dimension of r.
B. Use dimensional analysis to predict the form of the equation for the time taken t for the star to undergo one oscillation. Include all steps and assumptions made.