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Using the method of dimension, show that 1 joule = 10⁷ erg. |
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Answer» 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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