Question

Find the conversion factor between so unit and cgs unit of force using dimensional analysis

Answer 1

Answer:

1N=10^5 dyne

Explanation:

Force = mass×acccleration

F= m•a

In S.I. unit ,

Mass=kg

acceleration=m/sec^2

therefore,

F=m•a

F=kgm/sec^2

The S.I. unit of Force is, newton

In cgs unit,

Mass= g

acceleration=cm/sec^2

therefore,

F=m•a

F=gcm/sec^2

The cgs unit of Force is , dyne

1 kg = 10^3g

1 m = 10^3cm

1sec^2=1sec^2

Hence,

1N=10^3×10^2dyne

thus,

1N=10^3+2dyne .....

( a^m×a^n= a^m+n)

( law of indices)

thus,

1N= 10^5 dyne