In CGS system the magnitude of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is

Question

In CGS system the magnitude of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is (A) 0.036 (B) 0.36 (C) 3.6 (D) 36

Tardigrade Admin · Accepted Answer

n1=n2((M1/M2))1((L1/L2))1((T/T2))-2 =100((g/kg))1((cm/m))1((s/min))-2 =100((g/103g))1((cm/102cm))1((s/60s))-2 =(3600/103)=3.6

Q. In $CGS$ system the magnitude of the force is $100$ dynes. In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is

$0.036$

$0.36$

$3.6$

$36$

$n_{1} = n_{2} (\frac{M _{1}}{M _{2}})^{1} (\frac{L _{1}}{L _{2}})^{1} (\frac{T}{T _{2}})^{- 2}$
$= 100 (\frac{g}{k g})^{1} (\frac{c m}{m})^{1} (\frac{s}{min})^{- 2}$
$= 100 (\frac{g}{1 0 ^{3} g})^{1} (\frac{c m}{1 0 ^{2} c m})^{1} (\frac{s}{60 s})^{- 2}$
$= \frac{3600}{1 0 ^{3}} = 3.6$

Q. In CGS system the magnitude of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is

0.036

0.36

3.6

36