OnlineCBT
Physics · UNITS AND MEASUREMENT
हिन्दीThe period of oscillation \( T \) of a gas bubble inside water created by an explosion depends on static pressure \( P \), density of water \( \rho \), and total energy of explosion \( E \). The time period \( T \) is proportional to:
Correct answer · Option 1
\( P^{-5/6} \rho^{1/2} E^{1/3} \)
Explanation
Let \( T = k P^a \rho^b E^c \). Equating dimensions of \( [P] = [\text{M L}^{-1} \text{T}^{-2}] \), \( [\rho] = [\text{M L}^{-3}] \), and \( [E] = [\text{M L}^2 \text{T}^{-2}] \) gives \( a = -5/6, b = 1/2, c = 1/3 \).
