Question 13

A spherical bubble inside water has radius ๐‘…. Take the pressure inside the bubble and the water pressure to be $$p_0$$. The bubble now gets compressed radially in an adiabatic manner so that its radius becomes (๐‘… โˆ’ ๐‘Ž). For $$a \ll R$$ the magnitude of the work done in the process is given by $$(4 \pi p_0 R a^2)X^2$$, where ๐‘‹ is a constant and $$\gamma = \frac{C_p}{C_V} = \frac{41}{30}$$. The value of X is ____________.


Correct Answer: e


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