Question

find the value of 10/21 calorie i erg (1) 2×10^5 (2) 10^7 (3) 2×10^6 (4) 2×10^7.
Please also do calculation with it. ​

Answer 1

Explanation:

It is given that 1joule=10 7 ergBoth erg and joule are the units of energy in CGS and MKS respectively. The dimensional formula of energy is [ML 2T −2 ]Let

It is given that 1joule=10 7 ergBoth erg and joule are the units of energy in CGS and MKS respectively. The dimensional formula of energy is [ML 2T −2 ]Let1joule=Xerg1[M 1 L 12 T 1−2 ]=X[M 2 L 22 T 2−2 ]

X= [M 2 L 2 2 T 2−2 ][M 1 L 12 T 1−2 ]X=[ M 2M1 ][ L 2L 1 ] 2 [ T 2T 1 ] 2

=[ M 2M1 ][ L 2L 1 ] 2 [ T 2T 1 ] 2X=[ ggmK ][ ccm ] 2 [ ss ] −2 ] −2X=[ gm1000gm ][ cm100cm ] 2 (1) −2=(10) 3 (10 4 )=(10) 7 So, 1Joule=10 7 erg

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