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A gas bubble from an expression under water, oscillates with a period T proportional to $p^{a} d^{b} E^{c}$ , where p is the static pressure, d is the density of water and E is the total energy of explosion. Find the value of a.

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detailed solution

Correct option is D

T∝padbEc[T]=ML−1T−2aML−3bML2T−2c [T]=Ma+b+cL−a-3b+2cT−2a-2c Equating the exponerrt,a+b+c=0−a−3b+2c=0 and −2a−2c=1By solvinga=−56, b=12 and c=13

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A gas bubble from an expression under water, oscillates with a period T proportional to padbEc, where p is the static pressure, d is the density of water and E is the total energy of explosion. Find the value of a.

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Ready to Test Your Skills?

free study material

A gas bubble from an expression under water, oscillates with a period T proportional to $p^{a} d^{b} E^{c}$ , where p is the static pressure, d is the density of water and E is the total energy of explosion. Find the value of a.