Convert the value of g 6.67 multiply 10 ki power minus 11 newton metre square per kg square calculate the value in cgs unit
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Given Physical Quantity,
G = 6.67 × 10⁻¹¹ Nm²kg⁻²
Now,
This Quantity is measured in S.I. System. To convert it into the C.G.S. System, we must know the C.G.S Unit of all the units present in the given quantity.
C.G.S. unit of the N is dyne.
where, 1 N = 10⁵ dyne.
C.G.S. unit of the m is cm.
where, 1 m = 100 cm.
C.G.S. unit of the kg is g.
where, 1 kg = 1000 g.
∴ Nm²/kg² = 10⁵ dyne × (100 cm)²/(1000 g)²
= 10⁹/10⁶ dyne cm² g⁻²
= 10³ dyne cm² g⁻²
∴ Physical Quantity (G) = 6.67 × 10⁻¹¹ Nm²kg⁻²
= 6.67 × 10⁻¹¹ × 10³ dyne cm² g⁻²
= 6.67 × 10⁻⁸ dyne cm² g⁻²
Thus, In C.G.S. System, Physical quantity will be 6.67 × 10⁻⁸ dyne cm² g⁻²
Hope it helps.
G = 6.67 × 10⁻¹¹ Nm²kg⁻²
Now,
This Quantity is measured in S.I. System. To convert it into the C.G.S. System, we must know the C.G.S Unit of all the units present in the given quantity.
C.G.S. unit of the N is dyne.
where, 1 N = 10⁵ dyne.
C.G.S. unit of the m is cm.
where, 1 m = 100 cm.
C.G.S. unit of the kg is g.
where, 1 kg = 1000 g.
∴ Nm²/kg² = 10⁵ dyne × (100 cm)²/(1000 g)²
= 10⁹/10⁶ dyne cm² g⁻²
= 10³ dyne cm² g⁻²
∴ Physical Quantity (G) = 6.67 × 10⁻¹¹ Nm²kg⁻²
= 6.67 × 10⁻¹¹ × 10³ dyne cm² g⁻²
= 6.67 × 10⁻⁸ dyne cm² g⁻²
Thus, In C.G.S. System, Physical quantity will be 6.67 × 10⁻⁸ dyne cm² g⁻²
Hope it helps.
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