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Time Dilation problem – Special Relativity

By in Ask Physics, CBSE PHYSICS CLASS XI, IIT JEE, Interesting Questions, KINEMATICS, Problems, Relativity on .

With what speed will a clock have to be moving in order to run at a rate that is one half the rate of a clock at rest?

Posted by Mona

Answer:

Using the formula for Relativistic Time (according to Special Theory of Relativity)

T=\frac{T_{0}}{\sqrt{1-\frac{v^{2}}{c^{2}}}}

√[1 – (v²/c²)] = ½ → v² = (3/4)c²

v = [√3/2]*c = .866c

 

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