A stick of $1\ m$ is moving with velocity of $2.7 imes 10^{8}\ ms^{- 1}$. What is the apparent length of the stick $(c = 3 imes 10^{8}\ ms^{- 1})$

Question

A stick of $1\ m$ is moving with velocity of $2.7 	imes 10^{8}\ ms^{- 1}$. What is the apparent length of the stick $(c = 3 	imes 10^{8}\ ms^{- 1})$

Dr. Abubacker · Accepted Answer

(c) $l = l_{0}\sqrt{1 - \frac{v^{2}}{c^{2}}} = 1\sqrt{1 - \left( \frac{2.7 	imes 10^{8}}{3 	imes 10^{8}} ight)^{2}}\  \Rightarrow l = 0.44\ m$