The value of gravitation constant is G=6.67×10-11 N·m2/kg2 in SI units. Convert it into CGS system of units.

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6.67×10-8 dyne cm-2/g2

6.67×108 dyne cm2/g2

6.67×10-8 dyne cm2/g2

6.67×10-8 dyne cm2/g-2

answer is C.

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Detailed Solution

The dimensional formula of G is M-1 L3 T-2. Using Eq. n1M1-1 L13 T1-2=n2M2-1 L23 T2-2n2=n1M1M2-1L1 L23T1 T2-2Here, n1=6.67×10-11M1=1 kg,M2=1 g=10-3 kg,L1=1 m,L2=1 cm=10-2 m,T1=T2=1 sSubstituting in the above equation, we getn2=6.67×10-111 kg10-3 kg-11 m10-2 m31 s1 s-2or, n2=6.67×10-8Thus value of G in CGS system of units is 6.67×10-8 dyne cm2/g2.

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