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The period of a body under SHM is respected by $T = p^{a} D^{b} S^{c},$ where p is pressure, D is density and S is surface tension. The value of a, b and c are

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−32,12,1

−1,−2,3

12,−32,−12

1,2,13

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detailed solution

Correct option is A

By substituting the dimensions of each quantity, we getT=[ML−1T−2]a[L-3M]b[MT−2]cBy solving, we geta=−32, b=12 and c=1

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The period of a body under SHM is respected by T=paDbSc, where p is pressure, D is density and S is surface tension. The value of a, b and c are

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The period of a body under SHM is respected by $T = p^{a} D^{b} S^{c},$ where p is pressure, D is density and S is surface tension. The value of a, b and c are