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Question

The SI and CGS units of energy are joule and erg respectively. How many ergs are equal to one joule?


A

106ergs

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B

1000 ergs

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C

107ergs

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D

109ergs

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Solution

The correct option is C

107ergs


Dimensionally, [Energy]=[mass]×[velocity]2
= mass×(lengthtime)2=ML2T2

Thus, 1joule=(1kg)(1m)2(1s)2

and 1erg=(1g)(1cm)2(1s)2

1joule1erg=(1kg1g)(1m1cm)2(1s1s)2

= (1000g1g)(100cm1cm)2=1000×10000=107

So, 1joule=107erg


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