in c.g.s system the magnitude of the force is 100 dynes. in another system where the fundamental physical quantities are kilogram metre and minute the magnitude of the force
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Answer:
We have n
1
=100,M
1
=g,L
1
=cm,T
1
=s and M
2
=kg,L
2
=m,T
2
=min,
The dimensional formula of forces is [M
1
L
1
T
−2
].
Where a=1,b=1,c=−2.
By substituting these values in the following conversion formula, we have
n
2
=n
1
[
M
2
M
1
]
a
[
L
2
L
1
]
b
[
T
2
T
1
]
c
=100[
kg
g
]
1
[
m
cm
]
1
[
min
s
]
−2
=100[
10
3
g
g
][
10
2
cm
cm
][
60s
s
]
−2
=3.6
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