Question

find velocity at which relativistic length of a body reduces to half of its rest length​

Answer 1

is the length observed by an observer in motion relative to the object.L0 is the proper length.v is the relative velocity between the observer and the moving object.c is the speed of light.By solving equations.for L=L0/2

for L=L0/2 sqrt(1−(v/c)2))=1/2 1−(v/c)2=1/4 (v/c)2=3/4 v2=(3/4)∗c2 v=(sqrt(3))/2∗c v=0.866c Thus, at about 86.6% the speed of light or 259 627 884 m/s , length of the moving object will have contracted to half its proper length.

for L=L0/2 sqrt(1−(v/c)2))=1/2 1−(v/c)2=1/4 (v/c)2=3/4 v2=(3/4)∗c2 v=(sqrt(3))/2∗c v=0.866c Thus, at about 86.6% the speed of light or 259 627 884 m/s , length of the moving object will have contracted to half its proper length.Please note: both L and L0 are measured parallel to the object's line of movement.

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#THE GREAT SHREYA ❤️