1.

A gas bubble , from an explosing under water , oscillates with a period T proportional in `P^(0)D^(0)E^(0)` , where p is the static prossure , d is the density of water and E is the total energy of the explosion . Find the value of` a , b` and` c` .

Answer» Correct Answer - A::B::C
`[T] = [p^(a)d^(b) E^(c)] = [ML^(-1)T^(-2)] ^(0) [ML^(-3)]^(4)[ML^(2)T^(-2)]^(1)`
Equating the power of both sides , we have
` a+ b+ c= 0 ` …(i)
` -a - 3b + 2c = 0` …(ii)
` -2a - 2c =1 ` …(iii)
Solving these three equation , we have
` a = (5)/(6) , b = (1)/(2)`
and ` c = (1)/(3) `


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