InterviewSolution
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InterviewSolution
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In the expression `P =E I^2 m^(-5) G^9(-2),` E, m, I and G denote energy, mass, angular momentum and gravitational constant, respectively. Show that P is a dimensionless quantity. |
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Answer» Here, ` P = E I^2 m^(-5) G^(-2) = [ML^2 T^(-2)] [ML^2 T^(-1)]^2[M]^(-5) [M^(-1) L^3 T^(-2)]^(-2) = M^(1 + 2 -5 +2) L^(2 + 4-6) T^(-2-2 +4)` `P = [M^0 L^0 T^0]` Hence , P is a dimensionless quantity. |
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