Saved Bookmarks
| 1. |
Time is not absolute.. give an example stating the theory of simultaneity with respect to two different frame of reference |
|
Answer» Answer: EVENTS that are simultaneous in ONE frame are not simultaneous in a frame moving with respect to that frame: This is expressed by the equation: t2' - t2 = [(t1' - t1) - v^2/c^2 (x1' - x1)] / (1 - v^2 / c^2)^1/2 where t2' - t2 is the time interval in frame 2 moving with respect to frame 1 and x1' - x1 is the spatial separation of the events in frame 1. note that if EITHER t2' - t2 or t1' - t1 is zero (simultaneous in that frame) the events are not simultaneous in the other frame. This can be confusing: suppose a clock is at rest in frame 1 then x1' - x1 = 0 and (1 - v^2/c^2)^1/2 = 1/2. It does not mean that 1 tick on a clock in frame 1 occurs while 2 ticks occur on a clock at rest in frame 2, but rather that the time between ticks in frame 2 is twice as LONG as ticks between the ticks on the clock in rest frame 1. This is called time DILATION. |
|