Free space — UPSC Physics Optional CSE 2005 Paper I
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- (a) Show that the length L of an object moving with a velocity v is given in the direction of motion by L = L_0 \left(1 - \frac{v^2}{c^2}\right)^{1/2} where L_0 is the proper length and c is the velocity of light in free space. What will be the shape of a spherical ball while moving under relativistic regime ?
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