The value of Stefan's constant in CGS system is σ=5.67×10-5 erg s-1 cm-2 K-4 . Its value in SI units is ____________.

6 . 7 × 10 - 8 J s - 1 m - 2 K - 4

6 . 7 × 10 - 8 J s - 1 m - 2 K - 4

5 . 67 × 10 - 5 J s - 1 m - 2 K - 4

5 . 67 × 10 - 8 J s - 1 m - 2 K - 4

6 . 7 × 10 - 5 J s - 1 m - 2 K - 4

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The value of Stefan's constant in CGS system is $σ = 5.67 \times 10^{- 5} erg s^{- 1} {cm}^{- 2} K^{- 4}$ . Its value in SI units is $____________$ .

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$6.7 \times 10^{- 8} J s^{- 1} m^{- 2} K^{- 4}$

$5.67 \times 10^{- 5} J s^{- 1} m^{- 2} K^{- 4}$

$5.67 \times 10^{- 8} J s^{- 1} m^{- 2} K^{- 4}$

$6.7 \times 10^{- 5} J s^{- 1} m^{- 2} K^{- 4}$

answer is A.

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$n_{1} u_{1} = n_{2} u_{2}$

$\Rightarrow (n_{1}) ({Js}^{- 1} m^{- 2} K^{- 4}) = (5.67 \times 10^{- 5}) (erg s^{- 1} {cm}^{- 2} K^{- 4})$

$\Rightarrow n_{1} (10^{7} erg) (s^{- 1}) (10^{- 4} {cm}^{- 2}) (K^{- 4}) = (5.67 \times 10^{- 5}) (erg s^{- 1} {cm}^{- 2} K^{- 4})$

$\Rightarrow n_{1} 10^{3} (erg s^{- 1} {cm}^{- 2} K^{- 4}) = 5.67 \times 10^{- 5} (erg s^{- 1} {cm}^{- 2} K^{- 4})$

$\Rightarrow n_{1} = 5.67 \times 10^{- 8}$

So, $σ = 5.67 \times 10^{- 8} J s^{- 1} m^{- 2} K^{- 4}$

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