Convert 1J into ergs.

Solution

SI unit of work is Joule and
CGS unit of work is ergs.
Work is force acting on a unit distance.
Therefore,

Dimensional formula of work =

left square bracket straight M to the power of 1 straight L squared straight T to the power of negative 2 end exponent right square bracket

space space therefore

space space space straight n subscript 2 equals space straight n subscript 1 space space open parentheses straight M subscript 1 over straight M subscript 2 close parentheses to the power of 1 open parentheses straight L subscript 1 over straight L subscript 2 close parentheses squared open parentheses straight T subscript 1 over straight T subscript 2 close parentheses to the power of negative 2 end exponent

space space space space space space equals space open parentheses fraction numerator 1 kg over denominator 1 gm end fraction close parentheses to the power of 1 open parentheses fraction numerator 1 straight c over denominator 1 cm end fraction close parentheses squared open parentheses fraction numerator 1 straight s over denominator 1 straight s end fraction close parentheses to the power of negative 2 end exponent

= 10⁷

space space therefore

1J = 10⁷ergs

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