Question

What is the ratio of S.I. to C.G.S. units to impulse?

Answer 1

1. Impulse is defined as-
   $$\begin{gathered} I=F\times t \\ I=impulse \\ F=Force \\ t=time \end{gathered}$$
2. SI unit of impulse N sec (N-s)
3. C.G.S unit of impulse dyne sec
4. The ratio of SI to C.G.S-
   $$\begin{gathered} \frac{SI}{C.G.S}=\frac{N‐sec}{dyne‐sec} \\ \frac{SI}{C.G.S}=\frac{N}{dyne} \\ 1N={10}^{5}dyne \\ \Rightarrow \frac{SI}{C.G.S}=\frac{{10}^{5}dyne}{dyne} \\ SI:C.G.S={10}^5:1 \end{gathered}$$
5. Hence, SI: C.G.S. =10⁵:1