Answer :
Answer:
2.598×[tex]10^8 m/sec[/tex]
Explanation:
The length of the contraction is given by [tex]l=l_0\sqrt{1-\frac{v^2}{c^2}}[/tex] here [tex]l_0[/tex] is length of the ruler at rest which is given as 12 inches
l is the length of the ruler in moving condition which is given as 6 inches c is the speed of the light and v is the velocity of the ruler.
[tex]l=l_0\sqrt{1-\frac{v^2}{c^2}}[/tex]
[tex]\frac{l}{l_0}=\sqrt{1-\frac{v^2}{c^2}}[/tex]
[tex]1-(\frac{l}{l_0})^2=\frac{v^2}{c^2}[/tex]
[tex]1-(\frac{6}{12})^2=\frac{v^2}{c^2}[/tex]
[tex]0.866=\frac{v}{c}[/tex]
[tex]v=0.866\times 3\times 10^8=2.598\times 10^8 m/sec[/tex]