By dimensional analysis show that 1J-10'erg.
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1 J= 1 kg m^2 s^-2
therefore 1J= [M L^2 T^-2]
erg in cgs
erg = g cm^2 s^-2
1J/ 1erg = kg m^2 s^-2 / g cm^2 s^-2
1J / 1erg = 10^7
therefore 1J = 10^7 erg
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