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Consider the two events whose coordinates

`(ct,x,y,z)`

are

`(0,0,0,0)`

and

`(2,5,0,0)`

in

`S`

. Find the speeds of frames

`S^(')`

in which (i) the events are simultaneous, (ii) the second event precedes the first by one unit of time, that is,

`ct^(')=-1`

. (iii) Is there a frame in which the events occur at the same point? (Ans: (i)

`\beta =(2)/(5)`

. (ii)

`\beta =(10+\sqrt(22))/(26)`

. (iii) No.)