The value of Gravitational constant G in MKS system
is 6.67 * 10^-11 Nm^2 /kg^2. what will be its value in cgs
system?
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Physics
Units and Measurement
Dimensions and Dimensional Analysis
The value of gravitation co...
PHYSICS
MEDIUM
The value of gravitation constant is G=6.67×10
−11
N−m
2
/kg
2
in SI units. Convert it into CGS system of units.
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ANSWER
Dimensional formula for G is [M
−1
L
3
T
−2
]
Now, n
1
[M
1
−1
L
1
3
T
1
−2
]=n
2
[M
2
−1
L
2
3
T
2
−2
]
n
2
=n
1
[
M
2
M
1
]
−1
[
L
2
L
1
]
3
[
T
2
T
1
]
−2
Here, n
1
=6.67×10
−11
M
1
=1kg, M
2
=1g=10
−3
kg, L
1
=1m, L
2
=1cm=10
−2
m, T
1
=T
2
=1s
Substituting in above equation we get,
n
2
=6.67×10
−11
[
10
−3
kg
1kg
]
−1
[
10
−2
m
1m
]
3
[
1s
1s
]
−2
or, n
2
=6.67×10
−8
Thus, value of G in CGS units is 6.67×10
−8
dynecm
2
/g
2
.
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