Prove 1 erg = 10000000
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Answered by
4
Hey
--> 'erg' is a CGS unit of work or energy while 'Joule' is a MKS unit of work or energy ...
--> For the conversation, we firstly convert 1J to MKS and then to CGS, and finally to erg...
Now,
[tex]1J = 1kg \ m^2 \ s^{-2} = 1000g ( 100cm )^2 s^{-2} \\ \\ = 10^7 g \ cm^2 \ s^{-2} = 10^7 erg \\ \\ =\ \textgreater \ 1 erg = 10^{-7}J[/tex]
Hope this helps ...
--> 'erg' is a CGS unit of work or energy while 'Joule' is a MKS unit of work or energy ...
--> For the conversation, we firstly convert 1J to MKS and then to CGS, and finally to erg...
Now,
[tex]1J = 1kg \ m^2 \ s^{-2} = 1000g ( 100cm )^2 s^{-2} \\ \\ = 10^7 g \ cm^2 \ s^{-2} = 10^7 erg \\ \\ =\ \textgreater \ 1 erg = 10^{-7}J[/tex]
Hope this helps ...
Answered by
6
Hello
erg is the CGS unit of work
Work = F. s
where F is force
and s is displacement
taking their CGS values
Force = kg ms⁻² = 10³g x 10² cm x s⁻²
displacement=1m = 10² cm
1 joule = 10³ g x 10² cm x 10²cm x s⁻²
I joule = 10⁷ g cm² s⁻²
1 joule = 10⁷ ergs
and 1 ergs = 10⁻⁷ joules
erg is the CGS unit of work
Work = F. s
where F is force
and s is displacement
taking their CGS values
Force = kg ms⁻² = 10³g x 10² cm x s⁻²
displacement=1m = 10² cm
1 joule = 10³ g x 10² cm x 10²cm x s⁻²
I joule = 10⁷ g cm² s⁻²
1 joule = 10⁷ ergs
and 1 ergs = 10⁻⁷ joules
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