Question

What will be velocity of light of particle having mass double than its rest mass? 

(A) (2c / 3) 

(B) (c/2) 

(C) {(√3c) / 2} 

(D) (3c / 4)

Answer 1

The correct option is (C) {(√3c) / 2}.

Explanation:

m = [m_o / √{1 – (V² / c²)}] where m_o is mass at rest

Given m = 2m_o 

Hence

2 = [1 / √{(1 – (V² / c²))}]

∴ 1 – (V² / c²) = (1/4)

∴ (V² / c²) = (3/4)

 (V/c) = (√3 / 2)

∴ V = {(√3c) / 2}