Question

how to convert 15 J into erg by dimensional analysis

Answer 1

Answer:

We know, 1 Joule = 1 Kg m²/s²

1 erg = 1 g cm²/s²

so, 1 Joule = 1Kg m²/s²

= {1000 g} {100cm}²/s². [ 1kg = 1000g and 1m = 100cm]

= 1000 × 10000 g cm²/s²

= 10000000 erg

hence, 1 Joule = 10^7 erg

so, 15 Joule = 15 × 10^7 erg = 1.5×10^8 erg