A liquid drop of density \(\rho\), radius r, and surface tension \(\sigma\) oscillates with time period T. Which of the following expressions for T2 is correct ?
Answer & explanation
Correct answer: option 1
Let : T2 = \(\rho^a r^b \sigma^c\)
T2 = [ML-3]a [L]b [MT-2]c
On solving : a = 1, b = 3 and c = -1
T2 = \(\rho^1 r^3 \sigma^{-1}\)
T2 = \(\frac{\rho r^3}{\sigma}\)