Question

Using dimensional analysis obtain the following relation between the units of the SI system and
the CGS system.
1 N/m 10 dyne / cm,​

Answer 1

Answer:

the dimensional formula of Force F=[M

1

L

1

T

−2

]

So a=1,b=1,c=−2

Now because Newton is in m.k.s system, we have

M

1

=1kg

L

1

=1m

T

1

=1s

M

2

=1g

L

2

=1cm

T

2

=1s

n

1

=1Newton

n

2

=?

Using the formula

n

2

=n

1

[M1/M2]

a

[L1/L2]

b

[T1/T2]

c

n

2

=1[1kg/1g]

1

[1m/1cm]

1

[1s/1s]

−2

n

2

=1[1000g/1g]

1

[100cm/1cm]

1×1

n

2

=1000×100=100000=10

5

dynes