Question

What is the dimensional formula of force, temperature ,
convert 1 newton into dyne.

Answer 1

Dimensional formula of Force F [M1 L1 T-2]

So a =1, b=1, c=-2
Now because Newton is in m.k.s system,We Have.
M1 = 1kg, L1 = 1m, T1 = 1s
M2 = 1g, L2 = 1cm, T2 = 1s

n1= 1 Newton
n2 = ?
Using the formula
n2= n1[M1/M2]a [L1/L2]b [T1/T2]c


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

n2= 1[1000g/1g]1 [100cm/1cm]1 x1
n2= 1000×100 = 100000
= 105 dynes

Answer 2

Hey!
1N = 1kg * 1m/s^2
=100g * 10 cm/s^2
=10^5 gcm/s^2
=10^5 dyne

Hope it helps