A gas bubble from an explosion under water oscillates with a time period T, depends upon…

Physics · JEE Main · NTA ExamsPhysics and Measurement

A gas bubble from an explosion under water oscillates with a time period T, depends upon static pressure p, density of water \(\rho\) and the total energy of explosion E. Find the epression for the time period T. (where, k is a dimensionless constant)
  1. \(T=k p^{-5 / 6} \rho^{1 / 2} E^{1 / 3}\)
  2. \(T=k p^{-4 / 7} \rho^{1 / 2} E^{1 / 3}\)
  3. \(\mathrm{T}=k \mathrm{p}^{-5 / 6} \rho^{1 / 2} \mathrm{E}^{1 / 2}\)
  4. \(\mathrm{T}=k \mathrm{p}^{-4 / 7} \rho^{1 / 3} \mathrm{E}^{1 / 2}\)

Answer

(A) T=k p^ -5 / 6 ^ 1 / 2 E^ 1 / 3

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