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Question
The value of Stefan's constant is σ = 5.67 × 10-8 J s-m2 K-4. Find its value in CGS system, where joule (J) and erg are the units of energy in SI and CGS system, respectively. [ Hint 1 J = 107 erg ]
The value of Stefan's constant is σ = 5.67 × 10-8 J s-m2 K-4. Find its value in CGS system, where joule (J) and erg are the units of energy in SI and CGS system, respectively. [ Hint 1 J = 107 erg ]
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Solution
- Given, 1 J = 107 erg
- We know that 1 m = 100 cm = 102 cm
- Now, σ = 5.67 × 10-8 J s-1m2 K-4
= 5.67 × 10-8 × 107 erg s-1× (102cm)2 K-4
= 5.67 × 10-8 × 107 erg s-1× 104cm2 K-4
= 5.67 × 10-3 erg s-1 cm2 K-4
Hence, the value in the CGS system is 5.67 × 10-3 erg s-1 cm2 K-4.
- Given, 1 J = 107 erg
- We know that 1 m = 100 cm = 102 cm
- Now, σ = 5.67 × 10-8 J s-1m2 K-4
= 5.67 × 10-8 × 107 erg s-1× (102cm)2 K-4
= 5.67 × 10-8 × 107 erg s-1× 104cm2 K-4
= 5.67 × 10-3 erg s-1 cm2 K-4
Hence, the value in the CGS system is 5.67 × 10-3 erg s-1 cm2 K-4.
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