Question

Find the value of F of 100 dyne on a system based on metre, kilogram and minute as fundamental units.explain in full process.

Answer 1

The value of f of 100 dyne on a system based on metre, kilogram and minute as fundamental units are explained below by the equation:

1 dyne = [1 gm] [1 cm] [s]-2

= [0.001 kg] [ 0.01 m] [0.02min]-2 = 0.025 [kg] [m] [min]-2

=> 100 dyne = 2.5 [kg][m][min]-2

Answer 2

Answer:36×10^-1 (by dimensional analysis)

Explanation:

We know that dyne is the c.g.s unit of force.

Dimension formula of force=M^1 L^1 T^-2

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

Cgs

N1 = 100 dyne

M1 = 1 g

L1 = 1 cm

T1 = 1 sec

New system

N2 = ?

M2 = 1kg (1000 g)

L2 = 1 m (100 cm)

T2 = 1 min (60 sec)

By using formula -

n2 =n1 (m1/m2)^a ×(L1/L2)^b ×(t1/t2)^c

     =100(1/1000)^1 × (1/100)^1 × (1/60)^-2

      = 100×1/1000×1/100×60^2

       = 10^-3 × 3600

       = 10^-3 × 10^2 ×36

       = 10^-3+2 × 36

       = 36×10^-1.  Ans