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Question: In C.G.S. system the magnitutde of the force is 100 dynes. In another system where the fundamental p...

In C.G.S. system the magnitutde 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

Answer

3.6

Explanation

Solution

n2=n1(M1M2)1(L1L2)1(TT2)−2n_{2} = n_{1}\left( \frac{M_{1}}{M_{2}} \right)^{1}\left( \frac{L_{1}}{L_{2}} \right)^{1}\left( \frac{T}{T_{2}} \right)^{- 2}

= 100(gmkg)1(cmm)1(sec⁡min⁡()−2)100\left( \frac{gm}{kg} \right)^{1}\left( \frac{cm}{m} \right)^{1}\left( \frac{\sec}{\min}()^{- 2} \right)

= 100(gm103gm)1(cm102cm)1(sec⁡60sec⁡−2)100\left( \frac{gm}{10^{3}gm} \right)^{1}\left( \frac{cm}{10^{2}cm} \right)^{1}\left( \frac{\sec}{60\sec}^{- 2} \right)

n2 = 3600103=3.6\frac{3600}{10^{3}} = 3.6