Answer:
A. Lengths will appear shorter and time will appear to pass slower.
Explanation:
From theory of relativity, we know that:
L₀ = length of object, measured in stationary frame of reference
L = length of object measured from a frame moving with respect to object, called ‘relativistic length’
v = relativistic speed between observer and the object
c = speed of light
then,
L = L₀ √(1-v²/c² )
Hence, the length of the object decreases with the increase in its relativistic speed "v"
t₀ = time measured by clock at rest with respect to event.
t = time measured by clock in motion relative to the event
v = relativistic speed between observer and the object
c = speed of light
then,
t = t₀/√(1-v²/c² )
Hence, the time increases with the increase in in relativistic speed and as a result it appears to pass slower.
Hence, the correct option is:
<u>A. Lengths will appear shorter and time will appear to pass slower.</u>
