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1.Units, Dimensions and Measurement
medium
The dimensions of universal gravitational constant are
A${M^{ - 2}}{L^2}{T^{ - 2}}$
B${M^{ - 1}}{L^3}{T^{ - 2}}$
C$M{L^{ - 1}}{T^{ - 2}}$
D$M{L^2}{T^{ - 2}}$
(AIIMS-2000) (AIPMT-1992) (AIPMT-2004)
Solution
(b) $F = \frac{{G{m_1}{m_2}}}{{{d^2}}} \Rightarrow G = \frac{{F{d^2}}}{{{m_1}{m_2}}}$
$[G] = \frac{{[ML{T^{ – 2}}][{L^2}]}}{{[{M^2}]}} = [{M^{ – 1}}{L^3}{T^{ – 2}}]$
$[G] = \frac{{[ML{T^{ – 2}}][{L^2}]}}{{[{M^2}]}} = [{M^{ – 1}}{L^3}{T^{ – 2}}]$
Standard 11
Physics
