Answer:
The length of the rod will decrease.
Explanation:
According to Einstein's relativity theory we know that
[tex]L=L_0\times\sqrt{1-(v/c)^2}[/tex]
where Lo= initial length of the rod
v= velocity of moving rod= c/2
c= velocity of light
put v= c/2 we get
L= 0.866 L₀
Therefore, The length of the rod will decrease.
Answer:
The length of the is 0.866 L₀.
Explanation:
Given that,
Velocity of rod = half the speed of light
We need to calculate the length
Using formula of length
[tex]L=L_{0}\sqrt{1-(\dfrac{v}{c})^2}[/tex]
Where, L= length
v = velocity of rod
c = speed of light
L₀ = observer length
Put the value into the formula
[tex]L=L_{0}\sqrt{1-(\dfrac{(0.5c)^2}{c^2})}[/tex]
[tex]L=L_{0}\sqrt{1-(0.5)^2}[/tex]
[tex]L=0.866L_{0}[/tex]
The length of the rod will decreases
Hence, The length of the rod is 0.866 L₀.
