The velocity at which relativistic length of a body reduces to half or its proper length is ____?
The velocity at which relativistic length of a body reduces to half or its proper length is ____?
جس رفتار سے جسم کی نسبت پسندانہ لمبائی آدھی رہ جاتی ہے یا اس کی مناسب لمبائی ____ ہوتی ہے؟
Explanation
The relativistic length contraction formula is:
L = L₀√(1 - v²/c²)
Given L = L₀/2:
L₀/2 = L₀√(1 - v²/c²)
1/2 = √(1 - v²/c²)
1/4 = 1 - v²/c²
v²/c² = 3/4
v = √(3/4) * c = √3/2 * c
The answer is v = √3/2c.