Relation between joule and erg in dimention analysis
Answers
Answer:
Joule is the unit for energy
Dimension Formula for Joule is [M¹L²T⁻²]
Let n1(joule)=n2(erg)
n1(M₁¹L₁²T₁⁻²]=n2[M₂¹L₂²T₂⁻²]
n2=n1(M₁¹L₁²T₁⁻²] /M₂¹L₂²T₂⁻²]
=n1x(M1/M2)¹x(L1/L2)²x(T1/T2)⁻²
=1x(1kg/gm)¹x(1m/1cm)²x(1s/1s)⁻²
=1x(1000g/gm)x(100cm/1cm)²x(1s/1s)⁻²
=10⁷
Therefore n1(joule)=n2(erg)
∴1 Joule=10⁷erg
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Answer:
An erg is the amount of work done by a force of one dyne exerted for a distance of one centimetre. In the CGS base units, it is equal to one gram centimetre-squared per second-squared (g⋅cm2/s2). It is thus equal to 10−7 joules or 100 nanojoules (nJ) in SI units.
The joule is a derived unit of energy in the International System of Units. It is equal to the energy transferred to (or work done on) an object when a force of one......
Joule is the SI unit of energy while erg is the cgs unit of energy. Therefore, 1 Joule is equal to 107 erg