Question

1- Convert the value of G=6.66x10®dyne cm’g’into Sl system.​

Answer 1

Answer:

6.67 × $10^{-11}$ N$m^{2} kg^{-2}$

Explanation:

Answer 2

Answer:

6.67×10^-8 dyne cm²/g²

Explanation:

n₁ = 6.67 × 10^-11 Nm²/kg² (6.67 × 10^-11 m³/s²kg²)

m₁ = kg

l₁ = m

t₁ = s

μ₁ = [M₁^-1 L₁^3 T₁^-2]

n₂ = ?

m₂ = g

l₂ = cm

t₂ = s

μ₂ = [M₂^-1 L₂^3 T₂^-2]

We know that,

n₁μ₁ = n₂μ₂

n₁μ₁/μ₂ = n₂

6.67 × 10^-11 × [M₁/M₂]^-1 × [L₁/L₂]^3 × [T₁/T₂]^-2 = n₂

6.67 × 10^-11 × [10^3]^-1 × [10^2]^3 = n₂

6.67 × 10^-11 × 10^-3 × 10^6 = n₂

6.67 × 10^-11+(-3)+6 = n₂

(6.67 × 10^-8 = n₂)                           (ANS.)

Therefore, Gravitational Constant in C.G.S. unit equals 6.67 × 10^-8 dyne cm²/g².

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