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Q.

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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a

12

b

13

c

−14

d

−56

answer is D.

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Detailed Solution

T∝padbEc[T]=ML−1T−2aML−3bML2T−2cEquating the exponent, a + b + c = 0−a−3b+2c=0 and −a−2c=1 By solving a=−56
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