convert 10 calorie into joules using dimension analysis
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Answer:
Answer:
10 erg will be 10⁸ joule.
Explanation:
Convert 10 erg into joule.
Using dimensional formula,
Joule is the S.I unit and erg is C.G.S of the energy.
Dimensional formula of joule and erg.
n_{1}(joule)=n_{2}(erg)n
1
(joule)=n
2
(erg)
n_{1}[M^{1}L^{2}T^{-2}]=n_{2}[M^{1}L^{2}T^{-2}]n
1
[M
1
L
2
T
−2
]=n
2
[M
1
L
2
T
−2
]
n_{1}=\dfrac{10[M^{1}L^{2}T^{-2}]}{10^{-6}[M^{1}L^{2}T^{-2}]}n
1
=
10
−6
[M
1
L
2
T
−2
]
10[M
1
L
2
T
−2
]
n_{1}=10^7n
1
=10
7
Therefore,
1\ erg = 10^7 joule1 erg=10
7
joule
10\ erg=10^8 joule10 erg=10
8
joule
Hence, 10 erg will be 10⁸ joule.
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