Question

by using diamensional analysis find the observation factor between si unit of force and CGS unit of force dyne १n=X dyne​

Answer 1

Answer:

As we know,

Dimensional formula of

Force=[MLT^-2]

a=1,b=1,c=-2

In S.I system

M1=1kg

L1=1m

T1=1sec

n1=1 newton

In C.G.S system

M2=1g

L2=1cm

T2=1sec

n2=? dyne

n2=n1[M1/M2]^a [L1/L2]^b[T1/T2]^c

n2=1[1kg/1g] ^1 [1m/1cm] ^1 [1sec/1sec] ^-2

n2=(1000g/1g) ^1(100cm/1m) ^1

n2=10^3×10^2

n2=10^3+2

n2 =10^5 dyne

1 newton=10^5 dyne