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**1. Homework Statement**

At what speed does a clock have to move in order to run at a rate which is one half that of a clock at rest?

**2. Homework Equations**

[tex]\Delta T = \gamma \Delta T_0[/tex]

**3. The Attempt at a Solution**

For clocks to run at half it's spd,

[tex]\Delta T = 2 \Delta T_0[/tex]

[tex]\gamma = 2[/tex]

which works out to v = 0.866c

Is this correct?

Qns 2 :

i saw in the physic formulary list this :

Clock desynchronization: Moving clocks, synchronized in their rest frame but separated by a distance D along their direction of motion, are not synchronized in the stationary frame; The front clock lags the rear clock by an amount:

[tex]T = Dv/c^2[/tex]

What does it mean?

If 2 clocks are moving at the same spd, shouldn't they run in the same time as well and should be synchronized?

Any help will be appreciated.