rkbookSharingSIn this problem, we consider a light clock-a clock thatticks every time light makes a round trip between twomirrors separated by a distance L. The key point is thatwe can deduce the rate at which this clock ticks, whenit moves relative to us as well as when it is at rest,directly from the postulates of special relativity. Thepostulates of special relativity are as follows:1. The laws of physics are the same in anycoordinate system that moves at constantvelocity (i.e., any inertial reference frame).2. The speed of light is c when measuredwith respect to any coordinate systemmoving at a constant velocity.As shown in the figure (Eigure 1), the light clock isbased on the propagation time of light between mirrorsspaced a distance L apart (in the rest frame of theclock). As the light bounces back and forth between themirrors, a small bit of light is allowed to escape throughthe partially silvered lower mirtor. These transmittedpulses of light hit a detector, which therefore emitsevenly spaced (in time) "ticks each round-trip time ofthe pulse. (New pulses are injected in phase with thedetected pulses to keep the clock going.)FigureLightClockPulses eachfoPart CWe now want to consider the length of the path the light traverses in the clock from the point of view of an observer inreference frame S. One expression for the length of this path is simply: Ls=tsc/2-that is, the length of the path issimply the distance that light travels in one half-tick.Use geometry to find another expression for the length of a one-way trip Lg (eg, from the source to the top mirror)according to this observer.Express your answer in terms of the time ts, v, and L.►View Available Hint(s)VE ΑΣΦLg=SubmitPart DWhat is the time ts between the ticks of the light clock as viewed from reference frame S?Express the time of these ticks in terms of to (the ticks in the frame of the clock), the relative speed u, and thespeed of light c.► View Available Hint(s)ts=Submit?15] ΑΣΦ/Φ? the pulse. (New pulses are injected in phase with thedetected pulses to keep the clock going.)Figure1TLV-d1210

Question

rkbookSharingSIn this problem, we consider a light clock-a clock thatticks every time light makes a round trip between twomirrors separated by a distance L. The key point is thatwe can deduce the rate at which this clock ticks, whenit moves relative to us as well as when it is at rest,directly from the postulates of special relativity. Thepostulates of special relativity are as follows:1. The laws of physics are the same in anycoordinate system that moves at constantvelocity (i.e., any inertial reference frame).2. The speed of light is c when measuredwith respect to any coordinate systemmoving at a constant velocity.As shown in the figure (Eigure 1), the light clock isbased on the propagation time of light between mirrorsspaced a distance L apart (in the rest frame of theclock). As the light bounces back and forth between themirrors, a small bit of light is allowed to escape throughthe partially silvered lower mirtor. These transmittedpulses of light hit a detector, which therefore emitsevenly spaced (in time) &#34;ticks each round-trip time ofthe pulse. (New pulses are injected in phase with thedetected pulses to keep the clock going.)FigureLightClockPulses eachfo<1 of 2 >Part CWe now want to consider the length of the path the light traverses in the clock from the point of view of an observer inreference frame S. One expression for the length of this path is simply: Ls=tsc/2-that is, the length of the path issimply the distance that light travels in one half-tick.Use geometry to find another expression for the length of a one-way trip Lg (eg, from the source to the top mirror)according to this observer.Express your answer in terms of the time ts, v, and L.►View Available Hint(s)VE ΑΣΦLg=SubmitPart DWhat is the time ts between the ticks of the light clock as viewed from reference frame S?Express the time of these ticks in terms of to (the ticks in the frame of the clock), the relative speed u, and thespeed of light c.► View Available Hint(s)ts=Submit?15] ΑΣΦ/Φ? the pulse. (New pulses are injected in phase with thedetected pulses to keep the clock going.)Figure1TLV-d1210< 2 of 24Pro

Accepted Answer

There are two mirrors separated by a distance L.A clock that ticks every time in the interval of…