Using the method of dimension, show that 1 joule = 10⁷ erg.
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Let us consider, 1 unit of SI unit of work gives n units of CGS units of work.
We know that, Dimensional formula for Work is
Since irrespective of the unit, Work has same dimensions, We can write
Here, 1 corresponds to SI, and 2 corresponds to CGS.
In SI, Units are kg, m, s while CGS has g, cm, s
From our earlier discussion,
1 SI unit of work gives n = 10^7 CGS units of work.
Hence, 1 Joule = 10^7 erg.
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